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Rob,
Here's the way I do it.. Maybe wrong but it's closer to what John said.
1/4. note = 96 b/m. That's three 1/8 notes equal to 32 b/m. 2X 1/8 = 1/4 note which you are playing in 4 beats per measure. This would put the tempo = 64 b/m for a 1/4 note and 96 b/m for a dotted 1/4 note. therefore, I think the tempo is, John says, 64 b/m. Hope this helps.

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Hi David,
Quote:

Here's the way I do it.. Maybe wrong but it's closer to what John said.
1/4. note = 96 b/m. That's three 1/8 notes equal to 32 b/m. 2X 1/8 = 1/4 note which you are playing in 4 beats per measure. This would put the tempo = 64 b/m for a 1/4 note and 96 b/m for a dotted 1/4 note. therefore, I think the tempo is, John says, 64 b/m. Hope this helps.



The largest value note that divides as a integer value into both a dotted quarter note and a quarter note is the eighth note (i.e. the dotted quarter note contains 3 x eighth notes and the quarter note contains 2 x quarter notes).

This means that if the two time signatures correlate, the length of time that an eighth note lasts in each time signature must be the same. If the eighth notes are not the same duration in each time signature then the two time signatures cannot possibly equate.

96 BPM
In one minute (60 secs) 96 dotted quarter notes play. This means that in 60 secs, the equivalent of 288 eighth notes must have been played. (3 x 96 = 288)

Therefore the length of a single eighth note = (60 secs) ÷ (288 notes) = 0.208 secs

64 BPM
In one minute (60 secs) 64 quarter notes play. This means that in 60 secs, the equivalent of 128 eighth notes must have been played. (2 x 64 = 128)

Therefore the length of a single eighth note = (60 secs) ÷ (128 notes) = 0.469 secs.

Overall, at 64 BPM (quarter note), the eighth note has a duration of over twice that of the eighth note at 96 BPM (dotted quarter note). This means that a quarter note = 64 BPM is a slower tempo than a dotted quarter note = 96 BPM.

The concept of converting beats per minute from one note value to another another note value confuses many people. It's the "beats per minute" bit that adds a layer of complexity and takes the conversion process into a more complicated sphere of mathematical reasoning.

Regards,
Noel

Last edited by Noel96; 01/27/11 05:32 AM.

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Noel96 #103168 01/27/11 06:03 AM
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Somebody must be drinkin' some serious coffee.

Kona?




--Mac

Mac #103169 01/27/11 12:52 PM
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LOL!!!

I think it was the whiskey in the coffee that did it


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Mac #103170 01/27/11 06:28 PM
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The mathematician in me is going to go with Noel's explaination time conversion. I am going to save this thread so the next time it comes up I have the information handy.

However, I think Mac's explanation of the theory is probably the closest:

Quote:

Likely just coincidental. I still think the entire marking on the sheet was just plain wrong information.

--Mac




-Robb

Noel96 #103171 01/27/11 07:19 PM
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Quote:

.....Basically, as the value of the beat note gets smaller, the equivalent tempo must increase because more of the smaller value notes are required to be played in the same amount of time as the larger note. The relationship between note value and tempo is an inverse one.

.....


Hi Noel, You can see this graphically in the Metronome Pro utility that came in the latest 10Pak. Set the tempo calculator to determine tempo, with duration set to say, 1 minute and bars to an arbitrary number, say 16. Play the metronome for a given time signature. Then change the time signature. The utility is quirky in that you have to open the tempo calculator (where the new tempo will show), then hit ok, and then restart the metronome for the new tempo to actually register audibly and visibly up top. Won't work if the new tempo is below 40, but otherwise it's all there.

FWIW, Ron

Mac #103172 01/27/11 07:33 PM
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That's probably a typo but if there are 96 dotted quarters per minute you could get some algebra going

96 * 1.5x = 1 minute if x is a quarter note
96*1.5 = 144x = 1 minute

but nobody would notate it that way






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