User:Ganaram inukshuk/Sandbox: Difference between revisions

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Fleshed out expanded mos intro
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===Expanded MOS intro===
===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<nowiki><p/q>) that support the mos.</nowiki>
*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====
====Base wording====
'''''x''L ''y''s<''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''¢.  
'''''scalesig''''', also called '''''mosname''''' (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''. 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''¢.  


'''''nx''L ''ny''s<''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''¢.
'''''scalesig''''', also called '''''mosname''''' (alternatively called '''''alt-mosname'''''), is a(n) ''equave-equivalent'' moment-of-symmetry scale, containing ''nx'' large steps(s) and ''ny'' small step(s), or ''x'' large and ''y'' small steps(s) per period, forming a step pattern '''''step-pattern''''' that repeats every ''equave''. 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 ====
==== Rothenprop 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.
Single-period scales: Scales of this form always exhibit Rothenberg propriety because there is only one small step.


For mosses that descend from a TAMNAMS-named mos: xL ys<nowiki><p/q> is a k</nowiki>''th-order'' ''descendant'' scale of '''zL ws<nowiki><p/q></nowiki>''', an extension of zL ws<nowiki><p/q> scales with a </nowiki>''step-ratio-range'' step ratio.
Multi-period scales: Scales of this form always exhibit Rothenberg propriety because there is only one small step per period.


====Examples ====
==== 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''''', also called '''''mosname''''' (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''. 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''¢. ''Rothenprop-info''.
 
'''''scalesig''''', also called '''''mosname''''' (alternatively called '''''alt-mosname'''''), is a(n) ''equave-equivalent'' moment-of-symmetry scale, containing ''nx'' large steps(s) and ''ny'' small step(s), or ''x'' large and ''y'' small step(s) per period, forming a step pattern '''''step-pattern''''' that repeats every ''equave''. ''Descendant-info''. 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''¢. ''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. 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¢.   
'''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===
===Mos ancestors and descendants===

Revision as of 07:51, 30 January 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

Infobox MOS with audio examples

↖4L 1s↑5L 1s 6L 1s↗
←4L 2s5L 2s6L 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

Base wording

scalesig, also called mosname (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. 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¢.

scalesig, also called mosname (alternatively called alt-mosname), is a(n) equave-equivalent moment-of-symmetry scale, containing nx large steps(s) and ny small step(s), or x large and y small steps(s) per period, forming a step pattern step-pattern that repeats every equave. 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¢.

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, also called mosname (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. 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¢. Rothenprop-info.

scalesig, also called mosname (alternatively called alt-mosname), is a(n) equave-equivalent moment-of-symmetry scale, containing nx large steps(s) and ny small step(s), or x large and y small step(s) per period, forming a step pattern step-pattern that repeats every equave. Descendant-info. 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¢. 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. 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¢.

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