User:Ganaram inukshuk/Sandbox

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

Sandbox for proposed templates

Infobox MOS with audio examples

↖4L 1s	↑5L 1s	6L 1s↗
←4L 2s	5L 2s	6L 2s→
↙4L 3s	↓5L 3s	6L 3s↘

Brightest mode	LLLsLLs
Period	2/1
Range for bright generator	4\7 (685.7¢) to 3\5 (720¢)
Range for dark generator	2\5 (480¢) to 3\7 (514.3¢)
TAMNAMS name	diatonic
TAMNAMS prefix	dia-
Parent MOS	2L 3s
Sister MOS	2L 5s
Daughter MOSes	7L 5s, 5L 7s
Equal tunings and audio examples
Supersoft (L:s = 4:3)	15\26 (692.3¢) Listen
Soft (L:s = 3:2)	11\19 (694.7¢) Listen
Semisoft (L:s = 5:3)	18\31 (696.8¢) Listen
Basic (L:s = 2:1)	7\12 (700¢) Listen
Semihard (L:s = 5:2)	17\29 (703.4¢) Listen
Hard (L:s = 3:1)	10\17 (705.9¢) Listen
Superhard (L:s = 4:1)	13\22 (709.1¢) Listen

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

Expanded MOS intro

The following pieces of information may be worth adding:

• Distinguishing between TAMNAMS names from other, noteworthy non-TAMNAMS names. Equave-agnostic names can be treated as TAMNAMS name for appropriate mosses (EG, 4L 1s).
• The specific step pattern for the true mos. (The template will have a link to the page for rotations.)
• Simple edos (or ed<p/q>) that support the mos.
• Support for TAMEX names, or how the mos relates to another, ancestral TAMNAMS-named mos. Extensions include chromatic, enharmonic, subchromatic, and descendant. This requires standardizing the naming scheme for descendant mosses before it can be added.
  • TAMEX is short for temperament-agnostic moment-of-symmetry scale extension naming system.
• Whether the mos exhibits Rothenberg propriety.

Base wording

xL ys<p/q>, named mosname (also called alt-mosname), is a(n) equave-equivalent moment-of-symmetry scale containing x large steps(s) and y small step(s), repeating every equave. Modes of this scale are based on the step pattern of step-pattern. Equal divisions of the equave that support this scale include basic-ed, hard-ed, and soft-ed. Generators that produce this scale range from g1¢ to g2¢, or from d1¢ or d2¢.

nxL nys<p/q>, named mosname (also called alt-mosname), is a(n) equave-equivalent moment-of-symmetry scale, containing nx large steps(s) and ny small step(s), with a period of x large step(s) and y small steps(s) that repeats every equave-fraction, or n times every equave. Modes of this scale are based on the step pattern of step-pattern. Equal divisions of the equave that support this scale include basic-ed, hard-ed, and soft-ed. Generators that produce this scale range from g1¢ to g2¢, or from d1¢ or d2¢.

Supplemental info

For monosmall and monosmall-per-period mosses: Scales of this form always exhibit Rothenberg propriety because there is only one small step per period.

For mosses that descend from a TAMNAMS-named mos: xL ys<p/q> is a kth-order descendant scale of zL ws<p/q>, an extension of zL ws<p/q> scales with a step-ratio-range step ratio.

Examples

5L 7s, also called p-chromatic, is an octave-equivalent moment of symmetry scale containing 5 large steps and 7 small steps, repeating every octave. 5L 7s is a chromatic scale of 5L 2s, an extension of 5L 2s scales with a hard-of-basic step ratio. Equal divisions of the octave that support this scale's step pattern include 17edo, 22edo, and 29edo. Generators that produce this scale range from 700¢ to 720¢, or from 480¢ to 500¢.

Mbox template test

These would be their own templates.

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