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

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

Base wording

scalesig, called mosname in TAMNAMS, (alternatively called alt-mosname), is a(n) equave-equivalent moment-of-symmetry scale containing x large steps(s) and y small step(s), forming a step pattern step-pattern that repeats every equave. Generators that produce this scale range from g1¢ to g2¢, or from d1¢ or d2¢.

scalesig, called mosname in TAMNAMS, (alternatively called alt-mosname), is a(n) equave-equivalent moment-of-symmetry scale containing x large steps(s) and y small step(s), with a period of x/n large and y/n small steps(s) that forms a step pattern step-pattern-per-period that repeats every p¢, or n times every equave. Generators that produce this scale range from g1¢ to g2¢, or from d1¢ or d2¢.

Rothenprop info

Single-period scales: Scales of this form always exhibit Rothenberg propriety because there is only one small step.

Multi-period scales: Scales of this form always exhibit Rothenberg propriety because there is only one small step per period.

Descendant info (descendants of tamnams-named mosses only)

scalesig is a chromatic/enharmonic scale of parent-scalesig, an extension of parent-scalesig scales with a step-ratio-range step ratio.

scalesig is a descendant scale of parent-scalesig.

Full wording

scalesig, called mosname in TAMNAMS, (alternatively called alt-mosname), is a(n) equave-equivalent moment-of-symmetry scale containing x large steps(s) and y small step(s), forming a step pattern step-pattern that repeats every equave. Descendant-info. Generators that produce this scale range from g1¢ to g2¢, or from d1¢ or d2¢. Rothenprop-info.

scalesig, called mosname in TAMNAMS, (alternatively called alt-mosname), is a(n) equave-equivalent moment-of-symmetry scale containing x large steps(s) and y small step(s), with a period of x/n large and y/n small steps(s) that forms a step pattern step-pattern-per-period that repeats every p¢, or n times every equave. Descendant-info. Generators that produce this scale range from g1¢ to g2¢, or from d1¢ or d2¢. Rothenprop-info.

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. Generators that produce this scale range from 700¢ to 720¢, or from 480¢ to 500¢.

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

Scale tree formatting

Proposed changes:

• Merge step ratio and hardness columns

Advanced table may need custom html?

Generator (in steps of edo)							Cents		Step ratio		Comments
							Bright	Dark	L:s	Hardness
4\7							685.714	514.286	1:1	1.000	Equalized 5L 2s
					┌	27\47	689.362	510.638	7:6	1.167
				┌	23\40		690.000	510.000	6:5	1.200
				│	└	42\73	690.411	509.589	11:9	1.222
			┌	19\33			690.909	509.091	5:4	1.250
			│		┌	53\92	691.304	508.696	14:11	1.273
			│		34\59		691.525	508.475	9:7	1.286
			│		└	49\85	691.765	508.235	13:10	1.300
		┌	15\26				692.308	507.692	4:3	1.333	Supersoft 5L 2s
		│	│		┌	56\97	692.784	507.216	15:11	1.364
		│	│	┌	41\71		692.958	507.042	11:8	1.375
		│	│	│	└	67\116	693.103	506.897	18:13	1.385
		│	└	26\45			693.333	506.667	7:5	1.400	Flattone is in this region
		│		│	┌	63\109	693.578	506.422	17:12	1.417
		│		└	37\64		693.750	506.250	10:7	1.429
		│			└	48\83	693.976	506.024	13:9	1.444
	┌	11\19					694.737	505.263	3:2	1.500	Soft 5L 2s
	│	│			┌	51\88	695.455	504.545	14:9	1.556
	│	│		┌	40\69		695.652	504.348	11:7	1.571
	│	│		│	└	69\119	695.798	504.202	19:12	1.583
	│	│	┌	29\50			696.000	504.000	8:5	1.600
	│	│	│	│	┌	76\131	696.183	503.817	21:13	1.615	Golden meantone (696.2145¢)
	│	│	│	└	47\81		696.296	503.704	13:8	1.625
	│	│	│		└	65\112	696.429	503.571	18:11	1.636
	│	└	18\31				696.774	503.226	5:3	1.667	Semisoft 5L 2s Meantone is in this region
	│		│		┌	61\105	697.143	502.857	17:10	1.700
	│		│	┌	43\74		697.297	502.703	12:7	1.714
	│		│	│	└	68\117	697.436	502.564	19:11	1.727
	│		└	25\43			697.674	502.326	7:4	1.750
	│			│		57\98	697.959	502.041	16:9	1.778
	│			└	32\55		698.182	501.818	9:5	1.800
	│				└	39\67	698.507	501.493	11:6	1.833
	7\12						700.000	500.000	2:1	2.000	Basic 5L 2s
	│				┌	38\65	701.538	498.462	11:5	2.200
	│			┌	31\53		701.887	498.113	9:4	2.250	The generator closest to a just 3/2 for EDOs less than 200
	│			│	└	55\94	702.128	497.872	16:7	2.286	Garibaldi / Cassandra
	│		┌	24\41			702.439	497.561	7:3	2.333
	│		│	│	┌	65\111	702.703	497.297	19:8	2.375
	│		│	└	41\70		702.857	497.143	12:5	2.400
	│		│		└	58\99	703.030	496.970	17:7	2.429
	│	┌	17\29				703.448	496.552	5:2	2.500	Semihard 5L 2s
	│	│	│		┌	61\104	703.846	496.154	18:7	2.571
	│	│	│	┌	44\75		704.000	496.000	13:5	2.600
	│	│	│	│	└	71\121	704.132	495.868	21:8	2.625	Golden neogothic (704.0956¢)
	│	│	└	27\46			704.348	495.652	8:3	2.667	Neogothic is in this region
	│	│		│	┌	64\109	704.587	495.413	19:7	2.714
	│	│		└	37\63		704.762	495.238	11:4	2.750
	│	│			└	47\80	705.000	495.000	14:5	2.800
	└	10\17					705.882	494.118	3:1	3.000	Hard 5L 2s
		│			┌	43\73	706.849	493.151	13:4	3.250
		│		┌	33\56		707.143	492.857	10:3	3.333
		│		│	└	56\95	707.368	492.632	17:5	3.400
		│	┌	23\39			707.692	492.308	7:2	3.500
		│	│	│	┌	59\100	708.000	492.000	18:5	3.600
		│	│	└	36\61		708.197	491.803	11:3	3.667
		│	│		└	49\83	708.434	491.566	15:4	3.750
		└	13\22				709.091	490.909	4:1	4.000	Superhard 5L 2s Archy is in this region
			│		┌	42\71	709.859	490.141	13:3	4.333
			│	┌	29\49		710.204	489.796	9:2	4.500
			│	│	└	45\76	710.526	489.474	14:3	4.667
			└	16\27			711.111	488.889	5:1	5.000
				│	┌	35\59	711.864	488.136	11:2	5.500
				└	19\32		712.500	487.500	6:1	6.000
					└	22\37	713.514	486.486	7:1	7.000
3\5							720.000	480.000	1:0	→ ∞	Collapsed 5L 2s