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I’m playing a timpani part in 4/4 at 132 BPM. 4 measures into the excerpt, there is a “dotted quarter note equals quarter note” marking. In this new section (still in 4/4), there are still eighth notes, offset sixteenth notes, and rolls. I’ve gotten several different answers on how to play this. Do I restrict three eighth notes to each quarter note at the same tempo? Do I divide the 132 tempo by three?

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    Hi, welcome! I think a picture of this part of the score would help you to get good answers! – Tom Nov 11 '20 at 18:07
  • Of course! I’ll do my best to figure out how to add a picture. – Jonah Nov 11 '20 at 18:09
  • I am unable to add an image because every time I take a picture and try to add it, it says the file size is too big. – Jonah Nov 11 '20 at 18:12
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    Is it a well known piece? If so you can just tell us what it is. – phoog Nov 11 '20 at 20:48
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    @Jonah If you've got a graphics program maybe you could use that to halve the size of the picture, or reduce its colours. Either of those will reduce its file size. Then save it and try again. – Old Brixtonian Nov 12 '20 at 1:31
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If what I have printed below is what you're describing (I'm just a little dubious that it is - please check) it's a 'metric modulation' indicating that the time previously taken by a dotted quarter is to be taken by a quarter i.e. two 8ths in the time previously taken by three. A reduction to 2/3 of the previous tempo. 132 BPM down to 88 BPM.

(For completeness, I should mention that there is an older convention of this meaning quite the opposite - not Old-tempo=New-tempo but New-tempo=Old-tempo. For various reasons I don't think we need to consider that possibility here.)

enter image description here

Today's composers are rather (over)-fond of this sort of notation for arbitrary tempo changes. It makes more sense in the case below, where the dotted quarter beat in 12/8 continues as the quarter beat in 4/4.

enter image description here

You'll also see a 'metric modulation' misused to indicate Swing. Mainly, I think, by educators who are frightened of the fluid concept of 'Swing' and want to quantise it. Swing is not (necessarily) triplets. If you want swing, write 'Swing'. Both notation programs and live musicians understand what is wanted.

enter image description here

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    One point on your last image, not all rhythms called “swing” are the same. At least the 8th=triplets notation is unambiguous about which kind of swing is desired. – Todd Wilcox Nov 11 '20 at 21:20
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    Unfortunately it's used indiscriminately. Not just to describe triplet swing. – Laurence Payne Nov 11 '20 at 22:22
  • Yes. Because of that older convention I like to see arrows: "One of those that side equals one of those THAT side!" – Old Brixtonian Nov 12 '20 at 1:35
  • In your 3rd set of dots, you put crotchet = 132, then write dotted crotchets. That seems somewhat ambiguous to me. – Tim Nov 12 '20 at 8:52
  • It would certainly be unusual. And invite a query whether it was a misprint. Which, of course, it was! Now corrected. Thanks for pointing it out. – Laurence Payne Nov 12 '20 at 15:44
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As Laurence Payne explains, the tempo is modulating from quarter = 132 to quarter = 88. There is also the question of how to make the change.

The "brute force" method is to practice with a metronome set at each speed until you've developed an internalized feel for the pacing of each.

The "mathematical" method is to use subdivisions of the beat. The notation dotted quarter = quarter gives a hint. The common subdivision between the two is the eighth note. If you count as shown in the example below, you'll make the exact tempo transition indicated.

X:1
T:Metric Modulation Example
K:none
M:4/4
L:1/8
V:V1 staff=perc stafflines=1
[Q:1/4=132]B2 B2 B2 B2 | BB BB BB BB | BB BBB BBB | BBB BBB BBB BBB |[Q:1/4=88] B2 B2 B2 B2 |
w: 1 2 3 4 | 1 & 2 & 3 & 4 & | 1 & 2 & 3 & 4 & | 1 & a 2 & a 3 & a 4 & a | 1 2 3 4

Note that the eighth-note pulse-rate never changes, but you change the emphasis to reorganize them into triplets. That is, where you previously subdivided the beat into two equal pulses, you now use three of those same pulses to comprise a single beat.

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    That's all very well as an exercise. But not much help in practice unless that's what the music DOES! – Laurence Payne Nov 11 '20 at 22:25
  • @LaurencePayne If and when the OP posts the actual music, I will update. – Aaron Nov 11 '20 at 23:08

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