User:Ganaram inukshuk/Sandbox: Difference between revisions
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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 5 | !Size 5 | ||
!End | !End | ||
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|<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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│░░░░│▓▓▓│░░├───┤░░├─┴─┤░░░░│░░░░├─┼─┤░░│▓│▓│░░░░│░░░░░░│ | |||
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│░░░░└─┬─┘░░└─┬─┘░░└─┬─┘░░░░│░░░░└─┼─┘░░└─┬─┘░░░░│░░░░░░│ | |||
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└──────┴──────┴──────┴──────┴──────┴──────┴──────┴──────┘ | |||
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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> |