Diaslen: Difference between revisions
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!| template MOS: | !| template MOS: | ||
|| <code>LXLXLXLXLXX</code> | || <code>LXLXLXLXLXX</code> | ||
!| intvl. class of gen.: | !| intvl. class of gen.: | ||
|| 2-steps | || 2-steps | ||
|- | |- | ||
Revision as of 03:24, 30 January 2024
Diaslen (also denoted 4s in groundfault's aberrismic theory) is a family of quasi-diatonic ternary scale patterns with scale signature 5L2m4s, so named by groundfault who considers 33edo's L:m:s = 5:2:1 a good tuning for it. The name diamech is a blend of dia- and the TAMNAMS prefix mech- for machinoid.
The three canonical diamech scale patterns, denoted 4sL (LsLsLmLsLsm), 4sC (LmLsLsLmLss), and 4sR (LsLmLsLsLms), may be constructed via MOS substitution, giving generator sequences for the three scales:
| k | filling MOS | UDP for filling MOS | step pattern | generator sequence | MOS for s = 0 | ||
|---|---|---|---|---|---|---|---|
| template MOS: | LXLXLXLXLXX
|
intvl. class of gen.: | 2-steps | ||||
| 2 (4sC) | mssmss |
4|0(2) | LmLsLsLmLss
|
GS(L+m, L+s, L+s) | yes | ||
| 1 (4sR) | smssms |
2|2(2) | LsLmLsLsLms
|
GS(L+s, L+m, L+s) | yes | ||
| 0 (4sL) | ssmssm |
0|4(2) | LsLsLmLsLsm
|
GS(L+s, L+s, L+m) | yes | ||