User:Ganaram inukshuk/Sandbox: Difference between revisions

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<div class="wikitable mw-collapsible" style="overflow:auto">
<div class="wikitable mw-collapsible" style="overflow:auto">
<div style="width: 100%; background-color:#eaecf0; padding-top: 0.2em; padding-bottom: 0.2em;"><center><b>[[MOS scale|Moment-of-symmetry scales]]</b></center></div>
<div style="width: 100%; background-color:#eaecf0; padding-top: 0.2em; padding-bottom: 0.2em;"><center><b>[[MOS scale|Moment-of-symmetry scales]]</b></center></div>
<table class="wikitable mw-collapsible-content nowraplinks" style="width: 100%; border: 0; padding: 0em; margin: 0em">
<table class="mw-collapsible-content nowraplinks" style="width: 100%;">
<tr style="display: table-row">
<tr style="display: table-row">
<td style="width: 15%; text-align: right; padding: 0em; background-color:#eaecf0;">6- to 10-note mosses</td>
<td style="width: 15%; text-align: right; background-color:#eaecf0;">6- to 10-note mosses</td>
<td style="width: 85%; text-align: left; padding: 0em; background-color:#fff; border-collapse:collapse">1L 5s (selenite) {{!}} 2L 4s ( {{!}} 3L 3s {{!}} 4L 2 {{!}} 5L 1s</td>
<td style="width: 85%; text-align: left;">1L 5s (selenite) {{!}} 2L 4s ( {{!}} 3L 3s {{!}} 4L 2 {{!}} 5L 1s</td>
</tr>
</tr>


<tr>
<tr>
<td style="width: 15%; text-align: right; padding: 0em; background-color:#eaecf0; border-collapse:collapse">Monolarge family</td>
<td style="width: 15%; text-align: right; background-color:#eaecf0;">Monolarge family</td>
<td style="width: 85%; text-align: left; padding: 0em; background-color:#fff; border-collapse:collapse">1L 5s (selenite) {{!}} 1L 6s (onyx) {{!}} 1L 7s (spinel) {{!}} 1L 8s (agate) {{!}} 1L 9s (olivine)</td>
<td>1L 5s (selenite) {{!}} 1L 6s (onyx) {{!}} 1L 7s (spinel) {{!}} 1L 8s (agate) {{!}} 1L 9s (olivine)</td>
</tr>
</tr>


<tr>
<tr>
<td style="width: 15%; text-align: right; padding: 0em; background-color:#eaecf0; border-collapse:collapse">Diatonic mos family</td>
<td style="width: 15%; text-align: right; background-color:#eaecf0;">Diatonic mos family</td>
<td style="width: 85%; text-align: left; padding:0; background-color:#fff; border-collapse:collapse"><table class="wikitable mw-collapsible-content nowraplinks" style="width: 100%; border: 0px; padding: 0em; margin: 0em"></td>
<td style="width: 85%; text-align: left; padding:0; margin:0;">
 
<table class="nowraplinks" style="width: 100%;">
<tr>
<tr>
<td style="width: 15%; text-align: right; padding: 0em; background-color:#eaecf0; border-collapse:collapse">Parent mos</td>
<td style="width: 15%; text-align: right; background-color:#eaecf0;">Parent mos</td>
<td style="width: 85%; text-align: left; padding: 0em; background-color:#fff; border-collapse:collapse">5L 2s (diatonic)</td>
<td style="width: 85%; text-align: left;">5L 2s (diatonic)</td>
</tr>
</tr>


<tr>
<tr>
<td style="width: 15%; text-align: right; padding: 0em; background-color:#eaecf0; border-collapse:collapse">Chromatic scales</td>
<td style="width: 15%; text-align: right; background-color:#eaecf0;">Chromatic scales</td>
<td style="width: 85%; text-align: left; padding: 0em; background-color:#fff; border-collapse:collapse">7L 5s (soft diatonic chromatic) {{!}} 5L 7s (hard diatonic chromatic)</td>
<td style="width: 85%; text-align: left;">7L 5s (soft diatonic chromatic) {{!}} 5L 7s (hard diatonic chromatic)</td>
</tr>
</tr>


<tr>
<tr>
<td style="width: 15%; text-align: right; padding: 0em; background-color:#eaecf0; border-collapse:collapse">Enharmonic scales</td>
<td style="width: 15%; text-align: right; background-color:#eaecf0;">Enharmonic scales</td>
<td style="width: 85%; text-align: left; padding: 0em; background-color:#fff; border-collapse:collapse">7L 12s (soft diatonic enharmonic) {{!}} 12L 7s (hyposoft diatonic enharmonic) {{!}} 12L 5s (hypohard diatonic enharmonic) {{!}} 5L 12s (hard diatonic enharmonic)</td>
<td style="width: 85%; text-align: left;">7L 12s (soft diatonic enharmonic) {{!}} 12L 7s (hyposoft diatonic enharmonic) {{!}} 12L 5s (hypohard diatonic enharmonic) {{!}} 5L 12s (hard diatonic enharmonic)</td>
</tr>
</tr>


<tr>
<tr>
<td style="width: 15%; text-align: right; padding: 0em; background-color:#eaecf0; border-collapse:collapse">Subchromatic scales</td>
<td style="width: 15%; text-align: right; background-color:#eaecf0;">Subchromatic scales</td>
<td style="width: 85%; text-align: left; padding: 0em; background-color:#fff; border-collapse:collapse">7L 19s and 19L 7s {{!}} 19L 12s and 12L 19s {{!}} 12L 17s and 17L 12s {{!}} 17L 5s and 5L 17s</td>
<td style="width: 85%; text-align: left;">7L 19s and 19L 7s {{!}} 19L 12s and 12L 19s {{!}} 12L 17s and 17L 12s {{!}} 17L 5s and 5L 17s</td>
</tr>
</tr>
</table></td>
</table></td>

Revision as of 20:23, 31 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

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

Navbox MOS