User:Inthar/MV3: Difference between revisions
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== Examples == | == MV3 Examples == | ||
=== Diasem === | === Diasem === | ||
"Diasem[5]" is: LMLMs | "Diasem[5]" is: LMLMs | ||
| Line 33: | Line 33: | ||
S LM LS LM LS | S LM LS LM LS | ||
SL ML SL ML S | SL ML SL ML S | ||
== MV3 proof == | |||
Revision as of 02:06, 15 April 2021
MV3 Examples
Diasem
"Diasem[5]" is: LMLMs
For example (one rotation of) diasem is (right is 4/3, down right is 7/6)
x-x-x-x-x x-x-x-x
This is LM LS LM LS L here you're stacking 1/1-7/6-4/3 but if you extend to 14 notes you have to do it like this
x-x-x-x-x-x-x
x-x-x-x-x-x-x
XY X YX Z XY X YX Z XY
X = 28/27; Y = 9/8 minus 28/27; Z = 64/63
L = XY, M = X, S = Z
The tokens show what the old steps break down into here you have two parallel chains of 4/3's, a 28/27 apart
Could i have switched the roles of X and Z here Y' = 9/8 minus 64/63
Y'Z X ZY' Z Y'Z X Z Y'Z
L = Y'Z, M = X, S = Z
"Diacot"
5-limit MV3 detempering of dicot[10]: 81/80 10/9 16/15 10/9 81/80 10/9 16/15 10/9 81/80 (found by ks26), SLMLSLMLS
S LM LS LM LS SL ML SL ML S