User:Ganaram inukshuk/Sandbox: Difference between revisions
| Line 63: | Line 63: | ||
====Base wording==== | ====Base wording==== | ||
'''''scalesig''''', | '''''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''''', | '''''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 ==== | ==== Rothenprop info ==== | ||
| Line 78: | Line 78: | ||
==== Full wording ==== | ==== Full wording ==== | ||
'''''scalesig''''', | '''''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''''', | '''''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 ==== | ==== 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 | '''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=== | ===Mos ancestors and descendants=== | ||
Revision as of 18:46, 1 February 2024
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
| 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 |
| 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 |
|