User:Ganaram inukshuk/Sandbox: Difference between revisions
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|Not enough room for note names. | |Not enough room for note names. | ||
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|Large vis | |Large vis | ||
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! rowspan="2" |Type | ! rowspan="2" |Type | ||
! rowspan="2" |Visualization | ! rowspan="2" |Visualization | ||
! colspan=" | ! colspan="7" |Individual steps | ||
! rowspan="2" |Notes | ! rowspan="2" |Notes | ||
|- | |- | ||
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!Size 4 | !Size 4 | ||
!Size 5 | !Size 5 | ||
!End | !End | ||
|- | |- | ||
|Multi-vis | |Multi-vis | ||
|<pre style="line-height: 1.1; font-family: monospace; font-size: | |<pre style="line-height: 1.1; font-family: monospace; font-size: 1em; padding-top: 0.1em; padding-bottom: 0.1em; margin: 0.1em">┌────┬───┬──┬───┬──┬─┬─┬────┬────┬─┬─┬──┬─┬─┬────┬──────┐ | ||
│░░░░│▓▓▓│░░│▓▓▓│░░│▓│▓│░░░░│░░░░│▓│▓│░░│▓│▓│░░░░│░░░░░░│ | |||
│░░░░│▓▓▓│░░│▓▓▓│░░│▓│▓│░░░░│░░░░│▓│▓│░░│▓│▓│░░░░│░░░░░░│ | |||
│░░░░│▓▓▓│░░│▓▓▓│░░│▓│▓│░░░░│░░░░│▓│▓│░░├─┼─┤░░░░│░░░░░░│ | |||
│░░░░│▓▓▓│░░│▓▓▓│░░│▓│▓│░░░░│░░░░│▓│▓│░░│▓│▓│░░░░│░░░░░░│ | |||
│░░░░│▓▓▓│░░├───┤░░├─┴─┤░░░░│░░░░├─┼─┤░░│▓│▓│░░░░│░░░░░░│ | |||
│░░░░│▓▓▓│░░│▓▓▓│░░│▒▒▒│░░░░│░░░░│▓│▓│░░├─┴─┤░░░░│░░░░░░│ | |||
│░░░░│▓▓▓│░░│▓▓▓│░░│▒▒▒│░░░░│░░░░│▓│▓│░░│▒▒▒│░░░░│░░░░░░│ | |||
│░░░░└─┬─┘░░└─┬─┘░░└─┬─┘░░░░│░░░░└─┼─┘░░└─┬─┘░░░░│░░░░░░│ | |||
│░░░░░░│░░░░░░│░░░░░░│░░░░░░│░░░░░░│░░░░░░│░░░░░░│░░░░░░│ | |||
│░░░░░░│░░░░░░│░░░░░░│░░░░░░│░░░░░░│░░░░░░│░░░░░░│░░░░░░│ | |||
│░░░░░░│░░░░░░│░░░░░░│░░░░░░│░░░░░░│░░░░░░│░░░░░░│░░░░░░│ | |||
│░░░░░░│░░░░░░│░░░░░░│░░░░░░│░░░░░░│░░░░░░│░░░░░░│░░░░░░│ | |||
└──────┴──────┴──────┴──────┴──────┴──────┴──────┴──────┘ | |||
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|<pre style="line-height: 1; font-family: monospace; font-size: 1.25em; padding-top: 0.1em; padding-bottom: 0.1em; margin: 0.1em">─┐ | |<pre style="line-height: 1; font-family: monospace; font-size: 1.25em; padding-top: 0.1em; padding-bottom: 0.1em; margin: 0.1em">─┐ | ||
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|} | |} | ||
=== TAMNAMS use=== | ===TAMNAMS use=== | ||
<blockquote>''This article assumes [[TAMNAMS]] conventions for naming scale degrees, intervals, and step ratios.''</blockquote>Names for the [[Degree|scale degrees]] of ''x''L ''y''s, the position of the scales tones, are called '''mosdegrees''', or '''''prefix''degrees'''. Its [[Interval|intervals]], the pitch difference between any two tones, are based on the number of large and small steps between them and are called '''mossteps''', or '''''prefix''steps'''. Both mosdegrees and mossteps use ''0-indexed'' numbering, as opposed to using ''1-indexed ordinals'', such as mos-1st instead of 0-mosstep. The use of 1-indexed ordinal names is discouraged for nondiatonic MOS scales. | <blockquote>''This article assumes [[TAMNAMS]] conventions for naming scale degrees, intervals, and step ratios.''</blockquote>Names for the [[Degree|scale degrees]] of ''x''L ''y''s, the position of the scales tones, are called '''mosdegrees''', or '''''prefix''degrees'''. Its [[Interval|intervals]], the pitch difference between any two tones, are based on the number of large and small steps between them and are called '''mossteps''', or '''''prefix''steps'''. Both mosdegrees and mossteps use ''0-indexed'' numbering, as opposed to using ''1-indexed ordinals'', such as mos-1st instead of 0-mosstep. The use of 1-indexed ordinal names is discouraged for nondiatonic MOS scales. | ||
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For harmonics: '''m/1''', also called '''interval-name''', is a just intonation ration that represents the mth harmonic 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=== | === MOS step sizes=== | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
|+3L 4s step sizes | |+3L 4s step sizes | ||
! rowspan="2" |Interval | ! rowspan="2" |Interval | ||
! colspan="2" |Basic 3L 4s | ! colspan="2" | Basic 3L 4s | ||
(10edo, L:s = 2:1) | (10edo, L:s = 2:1) | ||
! colspan="2" |Hard 3L 4s | ! colspan="2" |Hard 3L 4s | ||
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|- | |- | ||
!Steps | !Steps | ||
!Cents | ! Cents | ||
!Steps | !Steps | ||
!Cents | !Cents | ||
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!Cents | !Cents | ||
|- | |- | ||
| Large step | |Large step | ||
|2 | |2 | ||
|240¢ | |240¢ | ||
|3 | |3 | ||
| 276.9¢ | |276.9¢ | ||
|3 | |3 | ||
|211.8¢ | |211.8¢ | ||
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|369.2¢ | |369.2¢ | ||
|5 | |5 | ||
|355.6¢ | | 355.6¢ | ||
| | | | ||
|} | |} | ||
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!1st ancestor | !1st ancestor | ||
!Mos | !Mos | ||
!1st descendants | ! 1st descendants | ||
!2nd descendants | ! 2nd descendants | ||
|- | |- | ||
| rowspan="4" | uL vs | | rowspan="4" |uL vs | ||
| rowspan="4" |zL ws | | rowspan="4" |zL ws | ||
| rowspan="4" |xL ys | | rowspan="4" |xL ys | ||
| rowspan="2" |xL (x+y)s | | rowspan="2" | xL (x+y)s | ||
|xL (2x+y)s | |xL (2x+y)s | ||
|- | |- | ||
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|} | |} | ||
===Navbox MOS === | ===Navbox MOS=== | ||
<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> |
Revision as of 06:09, 19 April 2024
4L 1s | 5L 1s | 6L 1s |
4L 2s | 5L 2s (2/1-equivalent) | 6L 2s |
4L 3s | 5L 3s | 6L 3s |
┌╥╥╥┬╥╥┬┐ │║║║│║║││ │││││││││ └┴┴┴┴┴┴┴┘
↖ 5728L 2856s | ↑ 5729L 2856s | 5730L 2856s ↗ |
← 5728L 2857s | 5729L 2857s | 5730L 2857s → |
↙ 5728L 2858s | ↓ 5729L 2858s | 5730L 2858s ↘ |
Lua error: not enough memory.
↖ 359L 191s | ↑ 360L 191s | 361L 191s ↗ |
← 359L 192s | 360L 192s | 361L 192s → |
↙ 359L 193s | ↓ 360L 193s | 361L 193s ↘ |
↖ 78L 42s | ↑ 79L 42s | 80L 42s ↗ |
← 78L 43s | 79L 43s | 80L 43s → |
↙ 78L 44s | ↓ 79L 44s | 80L 44s ↘ |
This is a sandbox page for me (Ganaram) to test out a few things before deploying things. (Expect some mess.)
Infobox testing
Testing out several mos infoboxes (plus some obscenely large mosses).
Sandbox for proposed templates
This article or section contains multiple idiosyncratic terms. Such terms are used by a small group of people or a single person and are not regularly used within the community. |
KB vis
Type | Visualization | Individual steps | Notes | |||
---|---|---|---|---|---|---|
Start | Large step | Small step | End | |||
Small vis | ┌╥╥╥┬╥╥┬┐ │║║║│║║││ │││││││││ └┴┴┴┴┴┴┴┘ |
┌ │ │ └ |
╥ ║ │ ┴ |
┬ │ │ ┴ |
┐ │ │ ┘ |
Not enough room for note names. |
Large vis | ┌──┬─┬─┬─┬─┬─┬──┬──┬─┬─┬─┬──┬───┐ │░░│▒│░│▒│░│▒│░░│░░│▒│░│▒│░░│░░░│ │░░│▒│░│▒│░│▒│░░│░░│▒│░│▒│░░│░░░│ │░░└┬┘░└┬┘░└┬┘░░│░░└┬┘░└┬┘░░│░░░│ │░░░│░░░│░░░│░░░│░░░│░░░│░░░│░░░│ │░█░│░░░│░░░│░░░│░░░│░░░│░░░│░█░│ └───┴───┴───┴───┴───┴───┴───┴───┘ |
┌── │ │ │ │ │ X └── |
┬─┬─ │ │ │ │ └┬┘ │ │ X ─┴── |
─┬── │ │ │ │ │ X ─┴── |
─┐ │ │ │ │ │ ─┘ |
Black squares indicate notes one equave apart.
Contains shading characters, meant for spacing. |
Type | Visualization | Individual steps | Notes | ||||||
---|---|---|---|---|---|---|---|---|---|
Start | Size 1 | Size 2 | Size 3 | Size 4 | Size 5 | End | |||
Multi-vis | ┌────┬───┬──┬───┬──┬─┬─┬────┬────┬─┬─┬──┬─┬─┬────┬──────┐ │░░░░│▓▓▓│░░│▓▓▓│░░│▓│▓│░░░░│░░░░│▓│▓│░░│▓│▓│░░░░│░░░░░░│ │░░░░│▓▓▓│░░│▓▓▓│░░│▓│▓│░░░░│░░░░│▓│▓│░░│▓│▓│░░░░│░░░░░░│ │░░░░│▓▓▓│░░│▓▓▓│░░│▓│▓│░░░░│░░░░│▓│▓│░░├─┼─┤░░░░│░░░░░░│ │░░░░│▓▓▓│░░│▓▓▓│░░│▓│▓│░░░░│░░░░│▓│▓│░░│▓│▓│░░░░│░░░░░░│ │░░░░│▓▓▓│░░├───┤░░├─┴─┤░░░░│░░░░├─┼─┤░░│▓│▓│░░░░│░░░░░░│ │░░░░│▓▓▓│░░│▓▓▓│░░│▒▒▒│░░░░│░░░░│▓│▓│░░├─┴─┤░░░░│░░░░░░│ │░░░░│▓▓▓│░░│▓▓▓│░░│▒▒▒│░░░░│░░░░│▓│▓│░░│▒▒▒│░░░░│░░░░░░│ │░░░░└─┬─┘░░└─┬─┘░░└─┬─┘░░░░│░░░░└─┼─┘░░└─┬─┘░░░░│░░░░░░│ │░░░░░░│░░░░░░│░░░░░░│░░░░░░│░░░░░░│░░░░░░│░░░░░░│░░░░░░│ │░░░░░░│░░░░░░│░░░░░░│░░░░░░│░░░░░░│░░░░░░│░░░░░░│░░░░░░│ │░░░░░░│░░░░░░│░░░░░░│░░░░░░│░░░░░░│░░░░░░│░░░░░░│░░░░░░│ │░░░░░░│░░░░░░│░░░░░░│░░░░░░│░░░░░░│░░░░░░│░░░░░░│░░░░░░│ └──────┴──────┴──────┴──────┴──────┴──────┴──────┴──────┘ |
─┐ │ │ │ │ │ │ │ │ ─┘ |
X's are placeholders for note names.
Naturals only, as there is not enough room for accidentals. May not display correctly on some devices. Testing with unintrusive filler characters |
TAMNAMS use
This article assumes TAMNAMS conventions for naming scale degrees, intervals, and step ratios.
Names for the scale degrees of xL ys, the position of the scales tones, are called mosdegrees, or prefixdegrees. Its intervals, the pitch difference between any two tones, are based on the number of large and small steps between them and are called mossteps, or prefixsteps. Both mosdegrees and mossteps use 0-indexed numbering, as opposed to using 1-indexed ordinals, such as mos-1st instead of 0-mosstep. The use of 1-indexed ordinal names is discouraged for nondiatonic MOS scales.
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
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 |
|