User:Ganaram inukshuk/Sandbox

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Revision as of 07:39, 12 April 2024 by Ganaram inukshuk (talk | contribs) (Separate section for generators)
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4L 1s5L 1s 6L 1s
4L 2s5L 2s (2/1-equivalent)6L 2s
4L 3s5L 3s 6L 3s
Scale structure
Brightest mode LLLsLLs
Period (cents) 2/1 (1200¢)
Generator ranges
Bright 4\7 (685.7¢) to 3\5 (720¢)
Dark 2\5 (480¢) to 3\7 (514.3¢)
TAMNAMS information
Name diatonic
Prefix dia-
Abbrev. dia.
Related scales
Parent MOS 2L 3s
Sister MOS 2L 5s
Daughter MOSes 7L 5s, 5L 7s
Simple equal tunings
Supersoft (L:s = 4:3) 15\26 (692.3¢)
Soft (L:s = 3:2) 11\19 (694.7¢)
Semisoft (L:s = 5:3) 18\31 (696.8¢)
Basic (L:s = 2:1) 7\12 (700¢)
Semihard (L:s = 5:2) 17\29 (703.4¢)
Hard (L:s = 3:1) 10\17 (705.9¢)
Superhard (L:s = 4:1) 13\22 (709.1¢)

This is a sandbox page for me (Ganaram) to test out a few things before deploying things. (Expect some mess.)

Infobox testing

Sandbox for proposed templates

This article or section contains multiple idiosyncratic terms. Such terms are used by a small group of people or a single person and are not regularly used within the community.

TAMNAMS use

This article assumes TAMNAMS conventions for naming scale degrees, intervals, and step ratios.

Names for the scale degrees of xL ys, the position of the scales tones, are called mosdegrees, or prefixdegrees. Its intervals, the pitch difference between any two tones, are based on the number of large and small steps between them and are called mossteps, or prefixsteps. Both mosdegrees and mossteps use 0-indexed numbering, as opposed to using 1-indexed ordinals, such as mos-1st instead of 0-mosstep. The use of 1-indexed ordinal names is discouraged for nondiatonic MOS scales.

JI ratio intro

For general ratios: m/n, also called interval-name, is a p-limit just intonation ratio of exactly/about r¢.

For harmonics: m/1, also called interval-name, is a just intonation ration that represents the mth harmonic of exactly/about r¢.

MOS step sizes

3L 4s step sizes
Interval Basic 3L 4s

(10edo, L:s = 2:1)

Hard 3L 4s

(13edo, L:s = 3:1)

Soft 3L 4s

(17edo, L:s = 3:2)

Approx. JI ratios
Steps Cents Steps Cents Steps Cents
Large step 2 240¢ 3 276.9¢ 3 211.8¢ Hide column if no ratios given
Small step 1 120¢ 1 92.3¢ 2 141.2¢
Bright generator 3 360¢ 4 369.2¢ 5 355.6¢

Notes:

  • Allow option to show the bright generator, dark generator, or no generator.
  • JI ratios column only shows if there are any ratios to show

Mos ancestors and descendants

2nd ancestor 1st ancestor Mos 1st descendants 2nd descendants
uL vs zL ws xL ys xL (x+y)s xL (2x+y)s
(2x+y)L xs
(x+y)L xs (2x+y)L (x+y)s
(x+y)L (2x+y)s

Navbox MOS