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| == Examples ==
| | #redirect [[Rank-3 scale theorems#MV3 proofs]] |
| === Diasem ===
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| "Diasem[5]" is: LMLMs
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| For example (one rotation of) [[diasem]] is (right is 4/3, down right is 7/6)
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| x-x-x-x-x
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| x-x-x-x
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| This is LM LS LM LS L
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| here you're stacking 1/1-7/6-4/3
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| but if you extend to 14 notes you have to do it like this
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| x-x-x-x-x-x-x
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| x-x-x-x-x-x-x
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| XY X YX Z XY X YX Z XY
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| X = 28/27; Y = 9/8 minus 28/27; Z = 64/63
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| L = XY, M = X, S = Z
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| The tokens show what the old steps break down into
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| here you have two parallel chains of 4/3's, a 28/27 apart
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| Could i have switched the roles of X and Z here
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| Y' = 9/8 minus 64/63
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| Y'Z X ZY' Z Y'Z X Z Y'Z
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| L = Y'Z, M = X, S = Z
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| === "Diacot" ===
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| 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
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