User:Ganaram inukshuk/Sandbox

4L 1s	5L 1s	6L 1s
4L 2s	5L 2s (2/1-equivalent)	6L 2s
4L 3s	5L 3s	6L 3s

┌╥╥╥┬╥╥┬┐ │║║║│║║││ │││││││││ └┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLLsLLs
Period (cents)	2/1 (1200¢)
Bright generator range	4\7 (685.7¢) to 3\5 (720¢)
Dark generator range	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¢)

↖ 5728L 2856s	↑ 5729L 2856s	5730L 2856s ↗
← 5728L 2857s	5729L 2857s	5730L 2857s →
↙ 5728L 2858s	↓ 5729L 2858s	5730L 2858s ↘

Scale structure
Step pattern	...8586 steps...
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	7441\8586 to 4965\5729 (1040.0 ¢ to 1040.0 ¢)
Dark	764\5729 to 1145\8586 (160.0 ¢ to 160.0 ¢)
TAMNAMS information
Related to	7L 1s (pine)
With tunings	764:381 to 1145:571
Related MOS scales
Parent	2857L 2872s
Sister	2857L 5729s
Daughters	8586L 5729s, 5729L 8586s
Neutralized	2872L 5714s
2-Flought	14315L 2857s, 5729L 11443s
Equal tunings
Equalized (L:s = 1:1)	7441\8586 (1040.0 ¢)
Supersoft (L:s = 4:3)	27288\31487 (1040.0 ¢)
Soft (L:s = 3:2)	19847\22901 (1040.0 ¢)
Semisoft (L:s = 5:3)	32253\37216 (1040.0 ¢)
Basic (L:s = 2:1)	12406\14315 (1040.0 ¢)
Semihard (L:s = 5:2)	29777\34359 (1040.0 ¢)
Hard (L:s = 3:1)	17371\20044 (1040.0 ¢)
Superhard (L:s = 4:1)	22336\25773 (1040.0 ¢)
Collapsed (L:s = 1:0)	4965\5729 (1040.0 ¢)

↖ 359L 191s	↑ 360L 191s	361L 191s ↗
← 359L 192s	360L 192s	361L 192s →
↙ 359L 193s	↓ 360L 193s	361L 193s ↘

Scale structure
Step pattern	...552 steps...
Equave	2/1 (1200.0 ¢)
Period	1\24 (50.0 ¢)
Generator size
Bright	3\552 to 2\360 (6.5 ¢ to 6.7 ¢)
Dark	13\360 to 20\552 (43.3 ¢ to 43.5 ¢)
TAMNAMS information
Related to	24L 24s
With tunings	13:2 to 20:3
Related MOS scales
Parent	192L 168s
Sister	192L 360s
Daughters	552L 360s, 360L 552s
Neutralized	168L 384s
2-Flought	912L 192s, 360L 744s
Equal tunings
Equalized (L:s = 1:1)	3\552 (6.5 ¢)
Supersoft (L:s = 4:3)	11\2016 (6.5 ¢)
Soft (L:s = 3:2)	8\1464 (6.6 ¢)
Semisoft (L:s = 5:3)	13\2376 (6.6 ¢)
Basic (L:s = 2:1)	5\912 (6.6 ¢)
Semihard (L:s = 5:2)	12\2184 (6.6 ¢)
Hard (L:s = 3:1)	7\1272 (6.6 ¢)
Superhard (L:s = 4:1)	9\1632 (6.6 ¢)
Collapsed (L:s = 1:0)	2\360 (6.7 ¢)

↖ 78L 42s	↑ 79L 42s	80L 42s ↗
← 78L 43s	79L 43s	80L 43s →
↙ 78L 44s	↓ 79L 44s	80L 44s ↘

Scale structure
Step pattern	...122 steps...
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	105\122 to 68\79 (1032.8 ¢ to 1032.9 ¢)
Dark	11\79 to 17\122 (167.1 ¢ to 167.2 ¢)
TAMNAMS information
Related to	7L 1s (pine)
With tunings	11:2 to 17:3
Related MOS scales
Parent	43L 36s
Sister	43L 79s
Daughters	122L 79s, 79L 122s
Neutralized	36L 86s
2-Flought	201L 43s, 79L 165s
Equal tunings
Equalized (L:s = 1:1)	105\122 (1032.8 ¢)
Supersoft (L:s = 4:3)	383\445 (1032.8 ¢)
Soft (L:s = 3:2)	278\323 (1032.8 ¢)
Semisoft (L:s = 5:3)	451\524 (1032.8 ¢)
Basic (L:s = 2:1)	173\201 (1032.8 ¢)
Semihard (L:s = 5:2)	414\481 (1032.8 ¢)
Hard (L:s = 3:1)	241\280 (1032.9 ¢)
Superhard (L:s = 4:1)	309\359 (1032.9 ¢)
Collapsed (L:s = 1:0)	68\79 (1032.9 ¢)

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

Infobox testing

Testing out several mos infoboxes (plus some obscenely large mosses).

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

Moment-of-symmetry scales

6- to 10-note mosses	1L 5s (selenite) | 2L 4s ( | 3L 3s | 4L 2 | 5L 1s
Monolarge family	1L 5s (selenite) | 1L 6s (onyx) | 1L 7s (spinel) | 1L 8s (agate) | 1L 9s (olivine)
Diatonic mos family	Parent mos 5L 2s (diatonic) Chromatic scales 7L 5s (soft diatonic chromatic) | 5L 7s (hard diatonic chromatic) Enharmonic scales 7L 12s (soft diatonic enharmonic) | 12L 7s (hyposoft diatonic enharmonic) | 12L 5s (hypohard diatonic enharmonic) | 5L 12s (hard diatonic enharmonic) Subchromatic scales 7L 19s and 19L 7s | 19L 12s and 12L 19s | 12L 17s and 17L 12s | 17L 5s and 5L 17s