User:Ganaram inukshuk/Sandbox: Difference between revisions

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Ganaram inukshuk (talk | contribs)
autopatrolled, emailconfirmed
4,810 edits
m →Scale tree formatting: Forgot a line
Ganaram inukshuk (talk | contribs)
autopatrolled, emailconfirmed
4,810 edits
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|706.849
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Revision as of 09:44, 16 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

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

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
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