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#867429 11/07/25 02:01 PM
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Today a friend of mine gave me a book he thinks I might like. The timing could not have been better because I happen to be inbetween books right now.

I've read the front and back end flaps, a few reviews of it and the first few pages of the introduction. And it appears to address the intersection of music, art, neuroscience, psychology, culture and maybe a few other domains . . . all subjects I'm fascinated by.

The author is neuroscientist but has worked as a session musician, sound engineer and a record producer. Here is a quote from page 2 of the intro.

Many years later, Paul Simon told me that the sound is always what he was after too. "The way that I listen to my own records is for the sound of them; not the chords or the lyrics - my first impression is of the overall sound."

So far, I'm very much enjoying what this guy has to say.

For others interested in these areas and who might want to read along and discuss here or privately, this is one place to purchase it.

This Is Your Brain on Music


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Reading this book is quite fascinating and is exposing me to concepts I had never thought of before. Here is a quote that I can't quite make sense of. Curious if anybody musically trained can break this apart for us folk that are self-taught.

"Led Zeppelin often tuned their instruments away from the modern A440 standard to give their music an uncommon sound, and perhaps to link it with the European children's folk songs that inspired many of their compositions."


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Some folks will change their tuner to 432 Hz rather than standard 440 Hz. As you know the 440 is the standard tuning of the A note above middle C.
Some folks claim benefits of listening to 432 Hz music like reducing stress, mental healing and a whole bunch of other stuff. Other people suggest they do not notice any difference.


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Originally Posted by Brian Hughes
<...snip...>
Some folks claim benefits of listening to 432 Hz music like reducing stress, mental healing and a whole bunch of other stuff. Other people suggest they do not notice any difference.

The only thing I noticed was acoustic pianos all played out of tune - flat laugh laugh

Just kidding, of course. But seriously, I can't try that, as it's outside the range my saxophone will tune to.


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It's interesting. Over seemingly centuries, everyone has had a thought on what the exact pitch of 'A' should be. The overall consensus now is that it should be 440Hz, but many artists (including Led Zepplin obviously) have chosen to alter it in an effort to create a more 'unique sound'.

(Also, the ACW would have a fit crazy )


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How do drummers play at 432 Hz rather than standard 440 Hz? Slightly slower? Hmmmmmmm......

Apparently, I was unknowingly playing with a number of drummers playing in 432 Hz in the past.


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Originally Posted by Brian Hughes
Some folks claim benefits of listening to 432 Hz music like reducing stress, mental healing and a whole bunch of other stuff. Other people suggest they do not notice any difference.
This is one of the baffling things to me regarding the quote.
Are humans, on average, able to consciously notice a 8 Hz difference in notes (not pure tones) in a rock band that was known for ear shattering dB levels, or even at comfortable listening levels? I think no, but I could be wrong.

But even if the general untrained Zepelin fan could detect and understand sub-semitone differences how does that produce an "uncommon sound" since all you're doing is agreeing to a different frequency baseline?

And thirdly, how can non-standard tuning link to "European children's folk songs"? Wouldn't all instrument frequencies in the band be shifted up or down by the same amount?

My understanding is that we are designed to percieve and understand relative pitches in music, not absolute pitches.

I also wonder where the author got that info. If from a Zepelin interview, could that have been LSD talking??

Obviously, I'm not understanding everything regarding this quote.

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There are some who say we are all born with perfect pitch and we lose the ability to use it. The exceptions are folks from Asian countries where the inflections in words are so subtle that the ear remains attuned.

I don’t know about that.

As for pitch discrimination, I’ve know many audio engineers who were taught that people cannot distinguish a change of less than six cents. I proved I can hear down to four, but not less.

And the proponents of 432 Hz claim a mathematical origin as well as the historical precedent. Our church has a Steinway grand that was built in 1866 when it would have been perfect for a European orchestra. It can be tuned to 440 but by two days later will again be sitting happily at 432. It doesn’t help that the organ is at 442.


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Originally Posted by Bass Thumper
Originally Posted by Brian Hughes
Some folks claim benefits of listening to 432 Hz music like reducing stress, mental healing and a whole bunch of other stuff. Other people suggest they do not notice any difference.
This is one of the baffling things to me regarding the quote.
Are humans, on average, able to consciously notice a 8 Hz difference in notes (not pure tones) in a rock band that was known for ear shattering dB levels, or even at comfortable listening levels? I think no, but I could be wrong.

But even if the general untrained Zepelin fan could detect and understand sub-semitone differences how does that produce an "uncommon sound" since all you're doing is agreeing to a different frequency baseline?

And thirdly, how can non-standard tuning link to "European children's folk songs"? Wouldn't all instrument frequencies in the band be shifted up or down by the same amount?

My understanding is that we are designed to percieve and understand relative pitches in music, not absolute pitches.

I also wonder where the author got that info. If from a Zepelin interview, could that have been LSD talking??

Obviously, I'm not understanding everything regarding this quote.

I duplicated a acoustic guitar track and then detuned one track by -8 cents and yes you can hear the chorus effect between the two tracks. However if all tracks are set to 432 can I tell the difference between the 440 and the 432 I have not done that before I suppose.


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Originally Posted by Matt Finley
...
It can be tuned to 440 but by two days later will again be sitting happily at 432. It doesn’t help that the organ is at 442.

Ouch! crazy


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Originally Posted by Matt Finley
................................
And the proponents of 432 Hz claim a mathematical origin as well as the historical precedent. Our church has a Steinway grand that was built in 1866 when it would have been perfect for a European orchestra. It can be tuned to 440 but by two days later will again be sitting happily at 432. It doesn’t help that the organ is at 442.

FYI - My wife's old upright piano is tuned to 432. Our now retired piano tuner said a lot of old uprights are tuned to 432 because at 440 they would not be in tune for very long. Those pianos' wooden components could not take the string tension. He was the piano tuner for the Eastman School of Music and the Hochstein School of Music, both in Rochester NY. He said those pianos were tuned to either 442 or 444 so the brightness and volume of the piano would cut through the orchestra. He also said he had a monthly agreement to retune and to replace any broken strings!


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Originally Posted by Matt Finley
And the proponents of 432 Hz claim a mathematical origin as well as the historical precedent.
Hmmm, I think these folks might have lost the debate, my understanding is 440 is the global standard.
And I'm thinking any standard is somewhat arbitrary, but it's important that the world agree on a standard.

But I'm still trying to figure out the linkage (if any) between altered tuning and Zepelin's uncommon sound/European children folk songs.


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Originally Posted by Bass Thumper
Originally Posted by Matt Finley
And the proponents of 432 Hz claim a mathematical origin as well as the historical precedent.
Hmmm, I think these folks might have lost the debate, my understanding is 440 is the global standard.
And I'm thinking any standard is somewhat arbitrary, but it's important that the world agree on a standard.

But I'm still trying to figure out the linkage (if any) between altered tuning and Zepelin's uncommon sound/European children folk songs.

Maybe the linkage is the fact that if said children folk songs were ancient they may have been in 432 and Led Zeppelin may have wanted to emulate that.
There is a lot of controversy about what sounds better, songs in 440 or songs in 432. Through out the ages there has been no tuning standard, that is until 1955, or 1939 if you want to include the suggestion to standardize 440. If you are interested in 432 here is the history of it:

https://432playerplus.com/a-brief-history-of-432-hz-tuning-in-music/


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Originally Posted by AudioTrack
Originally Posted by Matt Finley
...
It can be tuned to 440 but by two days later will again be sitting happily at 432. It doesn’t help that the organ is at 442.

Ouch! crazy


Meanwhile.... Sister Martha, is singing consistently at 455 hz in the choir


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In the days of recording to tape (which was often sped up), no 440 except with tuning forks, turntables with 10% tolerance in speed, cassettes with even less precise speeds, my answer is, "Who cares".

Learning songs from recordings by ear meant adjusting the pitch of your instrument first.

In my early career, we tuned to the piano that was on every stage, and they were hardly ever at 440. There were no guitar tuners, so the guitars were tuned by from the 6th string to match the piano, and then by ear, making it a bit like just tuning, instead of equal temperament.

Then came strobe tuners, followed by digital, and I don't really know if that's an improvement or not. Some of those old 60s recordings with slightly out-of-tune guitars would not be improved if they were tuned perfectly.

As far as I'm concerned, if it sounds good to me, it is good.

Insights and incites by Notes ♫


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432 creates one more overtone within our hearing range, so there's that ..

440 has 46, 432 has 47.


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Originally Posted by MarioD
There is a lot of controversy about what sounds better, songs in 440 or songs in 432. Through out the ages there has been no tuning standard, that is until 1955, or 1939 if you want to include the suggestion to standardize 440. If you are interested in 432 here is the history of it:

https://432playerplus.com/a-brief-history-of-432-hz-tuning-in-music/
This is becoming a quite worthwhile discussion. For those that don’t know, a big part of music for me is all about growth and this thread is promoting growth.

The article you supplied provided at least a glimpse of all the fuss that was required to get us where we are today. Good historical info. We should all hold those that participated in the 1939 London conference in high esteem.

“The modern standard of 440 Hz became more widely accepted in the 20th century, particularly following a 1939 international conference in London. The British Standards Institution recommended 440 Hz as the standard pitch, and this tuning gained more traction globally after World War II.”

As good as that webpage is, it doesn’t shed the light I’m looking for in regards to the quote in question. So let me try this.

So you’re invited to a birthday party and you're the only muscian invited. And as they bring out the cake, someone starts singing Happy Birthday. Nobody is carrying a pocket tuner with them and no one has any preconceived ideas on “the proper key”. But as soon as the first note is sung, the entire room is able to sing along quite nicely. And even if a high-pitched woman or child starts everyone off, the low-pitch males can easily adjust their singing down an octave or two quite naturally to blend with the crowd. I find it amazing that we are wired this way.

Now back to the Zepelin quote. I’m still baffled by how an alternate tuning (432 for example) can some how create an “unusual sound” or be linked to some children’s folk song if the relationships among the notes are not altered. Presumably, the standard 440 is inadequate? For starters, who in the audience can say, “This music stinks because the tuning is all wrong”? likewise when a song is transposed say from Amaj to Cmaj (to meet the needs of a singer or other requirement) don’t we all recognize and enjoy the piece in the same way that Happy Birthday can be sung quite nicely in different keys?

I think part of the answer to all this involves “equal temperament” and how we are designed to understand and sing based on relative frequencies (the musical distance from one note to the next) as opposed to absolute frequencies.

But for that matter, I wonder if 440 tuning has its own set of compromises and is it possible that no tuning scheme is perfect in all situations?
I understand that one benefit of 440 is that it allows (near?) perfect transposition.

Adam Neely sheds some light on this.
432Hz


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Originally Posted by rharv
432 creates one more overtone within our hearing range, so there's that ..

440 has 46, 432 has 47.
If you’re counting the number of harmonics out to 20kHz, I’m not sure how relevant that is in listening to music. Many audiologists only test out to 8kHz, and many of us can't even hear out to that frequency.

20,000/440=45.5
20,000/432=46.3

8,000/440=18.2
8,000/432=18.5

What I do find interesting is how easy it is to take A440 for granted given the challenges the folks back in 1939 faced while establishing it. The more I learn about this the more I realize that
a) 440Hz is to some degree arbitrary
b) Much compromise was needed for this standard to be agreed upon
c) A 440Hz standard is not “musically perfect” in every sense but it does solve important problems
d) Musicians were happy (and are happy today with it)

I’m beginning to conclude that even with today’s computer-assisted, multi-factor optimization routines that we would not be able to come up with a practical standard meaningfully superior to A440. But then again, there’s much more of this book that remains to be read.


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Originally Posted by Bass Thumper
[quote=MarioD]So you’re invited to a birthday party and you're the only muscian invited. And as they bring out the cake, someone starts singing Happy Birthday. Nobody is carrying a pocket tuner with them and no one has any preconceived ideas on “the proper key”. But as soon as the first note is sung, the entire room is able to sing along quite nicely. And even if a high-pitched woman or child starts everyone off, the low-pitch males can easily adjust their singing down an octave or two quite naturally to blend with the crowd. I find it amazing that we are wired this way.
Not at the birthday parties that I've attended. People start in different keys, and proceed to get louder and louder, and even less in tune at the end. wink

Quote
Now back to the Zepelin quote. I’m still baffled by how an alternate tuning (432 for example) can some how create an “unusual sound” or be linked to some children’s folk song if the relationships among the notes are not altered.
You're right, it's completely rubbish.

Quote
For starters, who in the audience can say, “This music stinks because the tuning is all wrong”? likewise when a song is transposed say from Amaj to Cmaj (to meet the needs of a singer or other requirement) don’t we all recognize and enjoy the piece in the same way that Happy Birthday can be sung quite nicely in different keys?
I have a singer in my Sunday group who thinks he can.

He asks if I changed the key every time he has trouble singing his part. laugh


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Originally Posted by dcuny
Originally Posted by Bass Thumper
[quote=MarioD]So you’re invited to a birthday party and you're the only muscian invited. And as they bring out the cake, someone starts singing Happy Birthday. Nobody is carrying a pocket tuner with them and no one has any preconceived ideas on “the proper key”. But as soon as the first note is sung, the entire room is able to sing along quite nicely. And even if a high-pitched woman or child starts everyone off, the low-pitch males can easily adjust their singing down an octave or two quite naturally to blend with the crowd. I find it amazing that we are wired this way.
Not at the birthday parties that I've attended. People start in different keys, and proceed to get louder and louder, and even less in tune at the end. wink
.......................................

David, that was not my quote. That was Bass Thumpers. My Happy Birthday experience was exactly like yours.


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And as they bring out the cake, someone starts singing Happy Birthday. Nobody is carrying a pocket tuner with them and no one has any preconceived ideas on “the proper key”. But as soon as the first note is sung, the entire room is able to sing along quite nicely.

Ha Ha. Well, you're half right.
This bit works: "But as soon as the first note is sung..."
But this bit Never Works:"..the entire room is able to sing along quite nicely"
You need to extract the words: 'quite nicely' crazy crazy cry and consider replacing with 'cringeworthy'.

Never mind, as long as the party's good, what else matters?


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Originally Posted by dcuny
I have a singer in my Sunday group who thinks he can.

He asks if I changed the key every time he has trouble singing his part. laugh
Hmmm, I wonder if Anthony Amusia has a pathology of some kind affecting his inner ear, subcortical structures or hippocampus. Perhaps a brain worm, injury or other cognitive decline? Absent any pathology, he should easily be able to sing along to simple familiar songs. Children can do this at very early ages.

“The latter years of childhood are characterized by a general singing competency for the majority. Relatively few children are reported as singing “out-of-tune” at the age of eleven years (Howard et al, 194; Welch, 1979;2002).”

Vocal Pitch Development in Children

In any event, I hope “Anthony” isn’t preventing you from grasping the underlying “Happy Birthday Concept”; that healthy humans are wired and capable of cooperatively singing with one another.


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Originally Posted by Bass Thumper
Hmmm, I wonder if Anthony Amusia has a pathology of some kind affecting his inner ear, subcortical structures or hippocampus. Perhaps a brain worm, injury or other cognitive decline? Absent any pathology, he should easily be able to sing along to simple familiar songs. Children can do this at very early ages.
You misunderstand. He's quite capable of singing on key. And he can sing tenor parts as well as the melody.

But every now and then, I'll be on the piano playing a song written in Fm and think "Em is a much easier key to play this in.", and proceed to do just that without telling the choir. You've already made the case for relative pitch, and a half step isn't generally going to change much, especially for the tenors.

But this singer has caught on to my ploy. So if he's got trouble singing his part, his first thought is that the problem is that the key has changed, rather than the more probable we're all getting older and he's not listening closely enough.

Quote
In any event, I hope “Anthony” isn’t preventing you from grasping the underlying “Happy Birthday Concept”; that healthy humans are wired and capable of cooperatively singing with one another.
What's this "cooperatively singing" thing? I thought the goal was to sing louder, so everyone would have to sing in the right key (i.e.: the key I chose).

As a youngster in church, I quickly figured out that my Dad and my Uncle Rich (seated a few pews back) weren't just singing loudly because they were into the hymn.

No, each was trying to out-sing the other.

To them, singing was a competitive sport. crazy


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Originally Posted by dcuny
But this singer has caught on to my ploy. So if he's got trouble singing his part, his first thought is that the problem is that the key has changed, rather than the more probable we're all getting older and he's not listening closely enough.

As a youngster in church, I quickly figured out that my Dad and my Uncle Rich (seated a few pews back) weren't just singing loudly because they were into the hymn.

No, each was trying to out-sing the other.

To them, singing was a competitive sport. crazy
David, we seem to be talking past each other.
I can’t add meaningful value by drawing conclusions or offering opinions about the individual people close to you. Even if I tried, such conclusions would only apply to them, not more broadly. That’s called anecdotal and subjective and not what science is interested in.

I, and Levitin's book are more interested in how science seeks to understand the generalized big picture. In this field, that means longitudinal studies, brain imaging, animal research, and cross-cultural observations. The book that we’re discussing here aims to explain how humans experience music and which areas of the brain are responsible for processing, interpreting, and enjoying it.

So while your uncle Rich and your dad may have a personal singing competition going on, I can’t see how that fact contributes to the scientific knowledge base about music at our species or brain level. Science isn’t interested in individuals unless they are so exceptional that they warrant specific investigation; think of the interest in dissecting Einstein’s brain, for example.

The paper I shared by Graham Welch illustrates this point: the initial phase of the study assessed 3,510 children across 77 schools. A sample of that size provides far more insight compared to two individuals in a singing rivalry or one person who has figured out your piano ploy.

Of course, exceptions exist, but exceptions don’t make general conclusions. The weight of the data does. And one conclusion that many have made is that humans, even young children, can blend and emulate in singing when a simple song (like Happy Birthday) is started in an unpredictable key. It suggests that music, and our ability to understand and produce it, is deeply rooted in the brain. As far as we know, crayfish can’t do this. 😊

And who knows? Could it be that we all come out of the womb with some innate understanding of music? If so, an A440 basis is where I’d put my money 😉


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Originally Posted by Bass Thumper
David, we seem to be talking past each other.... I can’t see how that fact contributes to the scientific knowledge base about music at our species or brain level.
I can't comment unless I add to the scientific knowledge base instead giving my typical smart alec remarks?

I guess I'll be showing myself out, then. wink


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Originally Posted by dcuny
I can't comment unless I add to the scientific knowledge base instead giving my typical smart alec remarks?
FWIW I don't consider your remarks "smart alec" but there is plenty of one-sentence (or less) anecdotal, personal and hometown banter here already.
I'm hoping that an intellectual discussion on our brains on music would be educationally stimulating, different and fun.

And it isn't so much about adding to the scientific knowledge base (although that would be great if you can) it's more about exploring the scientific and music base; discussing the ground that has already been plowed by very smart people. Adam Neely is a good example.

Clearly, Daniel Levitin is quite well-studied and can teach us much.
Who amoungst us here could write such a book?


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Another fascinating quote on page 29.

“. . . and music is often described as having two dimensions, one that accounts for tones going up in frequency (and sounding higher and higher) and another that accounts for the perceptual sense that we’ve come back home again each time we double a tone’s frequency.”

I can understand the “higher and higher” but the doubling of frequency (an octave) is quite interesting. I wonder how much this is biological and neural vs culturally learned.

And could there be a 3rd dimension, time, since all music progresses thru time as opposed to a painting which is essentially static and "frozen" in time.


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Yes
However, doesn't that require that those biological and neural responses mean we inherently have a 'snapshot', if you will, of those overtones-over-time that allows us to respond? Comparable to a static painting, say .. or ROM

smile
// My 'snapshot' library is probably much different than most, at least it appears to me that way

Last edited by rharv; 12/07/25 12:55 PM.

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Originally Posted by Bass Thumper
I can understand the “higher and higher” but the doubling of frequency (an octave) is quite interesting. I wonder how much this is biological and neural vs culturally learned
I imagine it's how we perceive/anticipate tension and resolution. It's quite likely innate as some aspect like that are common around the world in different musical cultures.

This may be interesting. I know I've posted it before, so my apologies if you've seen it, but what it shows about our natural understanding may be profound: Bobby McFerrin Demonstrates the Power of the Pentatonic Scale


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A minor pentatonic is usually the first scale a guitarist learns. Also a pentatonic scale fits in two different key signatures. For instance an A minor pentatonic scale is also a C major pentatonic scale, i.e. same notes in both key signatures.


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Originally Posted by rharv
Yes
However, doesn't that require that those biological and neural responses mean we inherently have a 'snapshot', if you will, of those overtones-over-time that allows us to respond? Comparable to a static painting, say .. or ROM
We (even non-musicians) may very well have a "snapshot" or natural understanding of what an octave is even if we may be unable to articulate that understanding in words.

I agree with Levitin when he says "we’ve come back home again each time we double a tone’s frequency". But have we really fully "come back home"? We've doubled the frequency so we are no longer "home" in the frequency domain but I think we are "home" in some other domain that appears to be circular; think circle of 5ths.

Moving from A440 to A880 may sound equivalent from one perspective but those two notes are quite different from another perspective. Perhaps the brain is wired to collapse 2:1, 3:1, 4:1, etc. frequency ratios into a single category that we percieve as "similar". And maybe it does this because these integer ratios don't allow any dissonance from happening. Non integer ratios would introduce dissonance because the pressure pulses reaching the inner ear are out of sync.

Just a thought . . .


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Originally Posted by Bass Thumper
Originally Posted by rharv
Yes
However, doesn't that require that those biological and neural responses mean we inherently have a 'snapshot', if you will, of those overtones-over-time that allows us to respond? Comparable to a static painting, say .. or ROM
We (even non-musicians) may very well have a "snapshot" or natural understanding of what an octave is even if we may be unable to articulate that understanding in words.
...
Just a thought . . .

I think it's much deeper than that, but no argument here.

Why do we think a guitar should be tuned a certain way? I mean, even if 436 is used versus 440, it is tuned to itself from there.
What about a sitar?
Why are the horns in a typical orchestra all universally accepted as opposed to other horns created in history?
Why are all the conventional brass instruments in Bb and not the others?
Most importantly, why on earth is there a 'C' trumpet ?

.. just having fun asking questions, as it makes one think sometimes

Last edited by rharv; 12/07/25 07:47 PM.

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Originally Posted by MarioD
A minor pentatonic is usually the first scale a guitarist learns. Also a pentatonic scale fits in two different key signatures. For instance an A minor pentatonic scale is also a C major pentatonic scale, i.e. same notes in both key signatures.

This also, (I think) is much deeper than that.
Pentatonic is handy/easy/fundamental on any instrument it can apply to, which is most.


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Originally Posted by Bass Thumper
I can understand the “higher and higher” but the doubling of frequency (an octave) is quite interesting. I wonder how much this is biological and neural vs culturally learned.
Hearing starts as a physical phenomena - sound/vibrations trigger pitch recognition via sympathetic vibrations.

A vibration at n times a frequency will activate the pitch receptors from frequency to n * frequency from 1..n, obviously in different proportions.


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Yes, that is my understanding also. The human nature is to more easily adapt to similar harmonic frequencies. Doubling / halving of frequencies is the natural launching point.


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Originally Posted by rharv
Originally Posted by MarioD
A minor pentatonic is usually the first scale a guitarist learns. Also a pentatonic scale fits in two different key signatures. For instance an A minor pentatonic scale is also a C major pentatonic scale, i.e. same notes in both key signatures.

This also, (I think) is much deeper than that.
Pentatonic is handy/easy/fundamental on any instrument it can apply to, which is most.

Yes, I agree. I was just using a guitarist point of view. But after rereading it I should have been more specific. A guitarist whom reads music learns the major scale first. Those who do not read music learns the minor pentatonic scale first, at least in my experience.


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Originally Posted by Gordon Scott
This may be interesting. I know I've posted it before, so my apologies if you've seen it, but what it shows about our natural understanding may be profound: Bobby McFerrin Demonstrates the Power of the Pentatonic Scale
Yeah, I think I learned of this video from you last year, thanks for sharing.
Everytime I watch it I smile, it's as if the audience is an instrument and McFerrin is playing that instrument.

I wonder if similar results would be achieved in a class of kindergarteners, I'm thinking yes.


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There's a good mapping between the overtone series and how we perceive harmonic tension. I have no doubt that's tied to the mechanics of how we decode pitch.

If we take a frequency and divide it by ascending integers, we get the harmonic series:

f/1, f/2, f/3, f/4 ...

This yields the notes

C1, C2, G2, C3, E3, G3 ...

These map fairly well from least dissonant intervals to most dissonant intervals:

1, 5, 3, ...

We can add inversions (fourth, sixth) which gives a fairly complete scale:

1 3 4 5 6 8 ...

So in C major:

C E F G A C

It's not the same as the pentatonic scale, but more on that later. It also has some large gaps in it, between 1..3 and 6...8. There are various ways of filling in those gaps.

The other primary relation can be shown using the circle of fifths. For example, we can use the circle of fifths to derive the entire chromatic scale, ignoring the issue of the pythagorean comma:

C, G, D, A, E, B, F#/Gb, C#/Db, G#/Ab, D#/Eb, A#/Bb, F, C ...

We get the pitch set of any major scale by choosing one note to the left of the root, and five from the right. So the key of A major yields:

C, G, D, A, E, B, F#/Gb, C#/Db, G#/Ab, D#/Eb, A#/Bb, F

which rearranged gives:

A, B, C#, D, E, F#, G#, A

Back to the pentatonic scale. Given a major scale, we can reduce it by removing the half-steps, which are pretty universally heard as dissonances (of course, context changes this). So given a major scale, there are two scale degrees that are within a half-step: the 3-4 and the 7-8:

C, D, E, F, G, A, B, C

To get the most harmonically pleasing scale, we remove the clashing notes with the highest dissonance. That means we keep the 1, 3 and 5 (they are harmonically strongest, per the circle of fifths). So with the 3-4 we remove the 4, and 7-8 we remove the 7. This yields a major pentatonic scale, called a "gapped" scale to recognize that notes have been removed from it, leaving spaces:

C, D, E, G, A

These two principles - the overtone series and circle of fifths - provide a strong basis for explaining chords and scales. The circle of fifths also gives insight into harmonic movement, especially V->I movement.


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Originally Posted by MarioD
A minor pentatonic is usually the first scale a guitarist learns. Also a pentatonic scale fits in two different key signatures. For instance an A minor pentatonic scale is also a C major pentatonic scale, i.e. same notes in both key signatures.
I built this table awhile ago but never figured out how to actually use it in constructing my bass lines.
Maybe I should investigate this.

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Yes, I use the pentatonic scales a lot in both my guitar and bass playing. Also look into the blues scale.:

https://www.guitarcommand.com/blues-scale-bass/#c-blues-scale-bass


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I read once that the oldest instrument to be found, a bone with holes in it, plays a pentatonic scale. I also read that most cultures have independently come up with the pentatonic scale, it's just that they don't always start on the same note.

The major pentatonic in C is the minor pentatonic in A.

This tells me there is something organic about the pentatonic scale.

I use them a lot in my improvisations, sometimes mixing minor and major, depending on the song. Perhaps over half. Why? The audience seems to like it.

Charlie Parker played a lot of major pentatonic, even though he was a bebop player.

I discovered minor pentatonic, on sax when I was a child, in a rock band. Added flat 5 and 9 for passing or tension, and transposed to all keys (unlike the guitar, the fingering for each key is different). I've built on from there throughout my life, but I can always depend on the pentatonic to keep me grounded.

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Originally Posted by dcuny
There's a good mapping between the overtone series and how we perceive harmonic tension. I have no doubt that's tied to the mechanics of how we decode pitch.
Overtones (or higher harmonics) is what so many of us enjoy about the sound of musical instruments. Sure, pure tones as produced by synths are nice and have their place.

But when even a single note is played on an instrument its overtones define the "color" or timbre of that instrument. The sweet metallic sound of a muted trumpet or the bow drawn across a string of a cello produce a series of harmonics specific to that instrument. I'm sure instrument designers have understood this for centuries.


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Originally Posted by Bass Thumper
Overtones (or higher harmonics) is what so many of us enjoy about the sound of musical instruments. Sure, pure tones as produced by synths are nice and have their place.

But when even a single note is played on an instrument its overtones define the "color" or timbre of that instrument. The sweet metallic sound of a muted trumpet or the bow drawn across a string of a cello produce a series of harmonics specific to that instrument. I'm sure instrument designers have understood this for centuries.
Yes, you can use and Fourier Transform to show the harmonic makeup of instrument timbre. But I doubt that "instrument designers have understood this for centuries" helped in the design of instrument. Rather, it was the general guidelines of mechanics, such as the type of bore (cylindrical vs. conical) and instrument materials that guided designers. Additionally, most changes to instruments were incremental changes, such as the Boehm fingering system, which built on other similar developments. Even the saxophone was an extension of prior designs.

But that's not what I was talking about.

I was addressing that question you had about the perception of consonance and dissonance - especially in the pentatonic scale - and what the basis was.

The properties of the overtone series of come from physics, as does how our hearing works. They are inextricably linked together. The fact that melodic and harmonic systems have been developed that match properties of these overtone ([i]i.e.[i] being able to come up with a measure of harmonic consonance using the series) as well as being able to fill in the scale via the Circle of Fifths makes - to my mind, anyway - a compelling argument that this isn't something that's based in neurology.


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Xtra Styles PAKs are styles that work with the UltraPAK, UltraPAK+, or Audiophile Edition of Band-in-a-Box® 2025 (or higher). With over 3,500 styles (and 35 MIDI styles) included in Xtra Styles PAKs 1-20, the possibilities are endless!

Get the XPro Styles PAKs 1 - 9 for only $29 ea (Reg. $49 ea), or get them all in the XPro Styles PAK Bundle for only $149 (reg. $299)! Listen to demos and order now! For Windows or for Mac.

Note: XPro Styles PAKs require Band-in-a-Box® 2025 or higher and are compatible with ANY package, including the Pro, MegaPAK, UltraPAK, UltraPAK+, and Audiophile Edition.

Get Xtra Styles PAKs 1 - 20 are on special for only $29 each (reg $49), or get all 19 PAKs for $199 (reg $399)! Listen to demos and order now! For Windows or for Mac.

Note: The Xtra Styles require the UltraPAK, UltraPAK+, or Audiophile Edition of Band-in-a-Box®. (Xtra Styles PAK 19 requires the 2025 or higher UltraPAK, UltraPAK+, or Audiophile Edition. They will not work with the Pro or MegaPAK version because they need the RealTracks from the UltraPAK, UltraPAK+, or Audiophile Edition.

Don’t miss this chance to supercharge your Band-in-a-Box setup—at a great price!

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