6L 1s: Difference between revisions
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'''6L 1s''' is the [[MOS scale]] built from a generator between 1\7 (171¢) and 1\6 (200¢). Scales of this form are always [[Rothenberg propriety|proper]], because there is only one small step. | '''6L 1s''' is the [[MOS scale]] built from a generator between 1\7 (171¢) and 1\6 (200¢). Scales of this form are always [[Rothenberg propriety|proper]], because there is only one small step. | ||
== Names == | == Names == | ||
The [[TAMNAMS]] system uses the name '''archeotonic'''. | The [[TAMNAMS]] system uses the name '''archeotonic'''. | ||
== Notation == | == Notation == | ||
JKLMNOPJ = LLLsLLL (Horthathian mode), &/@ = chroma up/down | JKLMNOPJ = LLLsLLL (Horthathian mode), &/@ = chroma up/down | ||
== Modes == | == Modes == | ||
=== MOS modes === | === MOS modes === | ||
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The 6L 1s pattern also houses a temperament of the 11th and 13th harmonics, for example L=7 s=4 (46 edo) is such a scale. | The 6L 1s pattern also houses a temperament of the 11th and 13th harmonics, for example L=7 s=4 (46 edo) is such a scale. | ||
== Scales == | |||
* [[Roulette7]] | |||
* [[Bluebirds7]] | |||
== Scale tree == | == Scale tree == | ||
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| || || || || || 9\56 || 192.857 || 9 || 2 || 4.500 || | | || || || || || 9\56 || 192.857 || 9 || 2 || 4.500 || | ||
|- | |- | ||
| || || || || 5\31 || || 193.548 || 5 || 1 || 5.000 || Didacus | | || || || || 5\31 || || 193.548 || 5 || 1 || 5.000 || Didacus/hemithirds/hemiwürschmidt | ||
|- | |- | ||
| || || || || || 6\37 || 194.595 || 6 || 1 || 6.000 || | | || || || || || 6\37 || 194.595 || 6 || 1 || 6.000 || Didacus/roulette | ||
|- | |- | ||
| 1\6 || || || || || || 200.000 || 1 || 0 || → inf || | | 1\6 || || || || || || 200.000 || 1 || 0 || → inf || | ||