Diasem: Difference between revisions
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== Supersets == | == Supersets == | ||
The diasem scale extends to a 14-note | The diasem scale extends to a 14-note generator-offset scale: LmLsLmLsL and LsLmLsLmL both extend to the scale mcmcmsmcmcmsmc (c = L − m), with two 7-note mosses generated by the diasem's fifths separated by m. This scale is not chiral. This scale extends diasem like how [[blackdye]] is a 10-note non-chiral generator-offset superset of the [[Zarlino]] scale's AG pattern 3L 2m 2s, LmsLmLs. The 14-note superset is one of: | ||
* 5L 7m 2s (if m < c < L) | * 5L 7m 2s (if m < c < L) | ||
* a 2-step modmos of [[12L 2s]] (if c = m) | * a 2-step modmos of [[12L 2s]] (if c = m) | ||
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Both these tunings, 5L 7m 2s and 5L 2m 7s, have been named '''crossdye''' ("crossed eyes" referring to the two copies of 5L 2s diatonic + "blackdye", courtesy of [[User:CellularAutomaton|cellularAutomaton]]). 5L 7m 2s could be called ''chromatic crossdye'' and 5L 2m 7s could be called ''dietic crossdye''. | Both these tunings, 5L 7m 2s and 5L 2m 7s, have been named '''crossdye''' ("crossed eyes" referring to the two copies of 5L 2s diatonic + "blackdye", courtesy of [[User:CellularAutomaton|cellularAutomaton]]). 5L 7m 2s could be called ''chromatic crossdye'' and 5L 2m 7s could be called ''dietic crossdye''. | ||
2.3.7 JI diasem also has | 2.3.7 JI diasem also has the following generator-offset, SV3 supersets: | ||
* a 19-note superset: mLsmsLmsmLsmsLmsmLs (5L 7m 7s), with L = 2187/2048, m = 28/27, and s = 64/63, | * a 19-note superset: mLsmsLmsmLsmsLmsmLs (5L 7m 7s), with L = 2187/2048, m = 28/27, and s = 64/63, | ||
* a 29-note superset: mLsmLmLsmLmLmsLmLmLsmLmLmsLmL (12L 12m 5s), with L = 28/27, m = 64/63, and s = 531441/524188. | * a 29-note superset: mLsmLmLsmLmLmsLmLmLsmLmLmsLmL (12L 12m 5s), with L = 28/27, m = 64/63, and s = 531441/524188. | ||