Syntonic–rastmic subchroma notation: Difference between revisions
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== Notation guide for common tunings == | == Notation guide for common tunings == | ||
Due to enharmonic equivalences, each tuning system can take many accidental settings. Each case shown in the tables below is only one of them. Users should choose the combination in question according to the semantics. | The syntonic-rastmic subchroma notation is closely related to the [[syntonic-rastmic equivalence continuum]], in that the accidental settings are similar among tunings of a particular equivalence number. Due to enharmonic equivalences, however, each tuning system can take many accidental settings. Each case shown in the tables below is only one of them. Users should choose the combination in question according to the semantics. | ||
Equal temperaments are shown if the corresponding edo has {1, 3, 9}-diamond consistency. Others can be notated as subsets or be extrapolated. | Equal temperaments are shown if the corresponding edo has {1, 3, 9}-diamond consistency. Others can be notated as subsets or be extrapolated. | ||
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| 23 || /, //, ↑\, ↑, ↑/, ↑//, ↑↑\, ↑↑, ↑↑/, ↑↑//, t<, t>, #↓↓\\, #↓↓\, #↓↓, #↓↓/, #↓\\, #↓\, #↓, #↓/, #\\, #\, # || 7 & 241 || 234c, 241, 248, 255 | | 23 || /, //, ↑\, ↑, ↑/, ↑//, ↑↑\, ↑↑, ↑↑/, ↑↑//, t<, t>, #↓↓\\, #↓↓\, #↓↓, #↓↓/, #↓\\, #↓\, #↓, #↓/, #\\, #\, # || 7 & 241 || 234c, 241, 248, 255 | ||
|} | |} | ||
{| class="wikitable center-1" | |||
|+ Tetartomere tunings – order 2 | |||
|- | |||
! Sharpness !! Accidentals !! Temperament !! Equal temperaments | |||
|- | |||
| 40 || >, /, />, //, ↑\<, ↑\, ↑<, ↑, ↑>, ↑/, ↑/>, ↑//, ↑↑\<, ↑↑\, ↑↑<, ↑↑, ↑↑>, ↑↑/, t<, t, <br>t>, #↓↓\, #↓↓<, #↓↓, #↓↓>, #↓↓/, #↓↓/>, #↓\\, #↓\<, #↓\, #↓<, #↓, #↓>, #↓/, #↓/>, #\\, #\<, #\, #<, # || 7 & 417 || 410e, 417, 424, 431c | |||
|- | |||
| 42 || >, /, />, //, ↑\<, ↑\, ↑<, ↑, ↑>, ↑/, ↑/>, ↑//, ↑↑\<, ↑↑\, ↑↑<, ↑↑, ↑↑>, ↑↑/, ↑↑/>, t<, t, <br>t>, #↓↓\<, #↓↓\, #↓↓<, #↓↓, #↓↓>, #↓↓/, #↓↓/>, #↓\\, #↓\<, #↓\, #↓<, #↓, #↓>, #↓/, #↓/>, #\\, #\<, #\, #<, # || Neutral brahmagupta restriction || 434e, 441, 448, 455 | |||
|- | |||
| 44 || >, /, />, //, ↑\<, ↑\, ↑<, ↑, ↑>, ↑/, ↑/>, ↑//, ↑↑\<, ↑↑\, ↑↑<, ↑↑, ↑↑>, ↑↑/, ↑↑/>, ↑↑//, t<, t, <br>t>, #↓↓\\, #↓↓\<, #↓↓\, #↓↓<, #↓↓, #↓↓>, #↓↓/, #↓↓/>, #↓\\, #↓\<, #↓\, #↓<, #↓, #↓>, #↓/, #↓/>, #\\, #\<, #\, #<, # || 7 & 472 || 458ce, 465, 472, 479 | |||
|} | |||
441 and 455 can be notated as either order 1 or order 2. | |||
=== Pemptomere tunings === | === Pemptomere tunings === | ||
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| 27 || /, //, ↑\\, ↑\, ↑, ↑/, ↑//, ↑↑\\, ↑↑\, ↑↑, ↑↑/, ↑↑//, t<, t>, #↓↓\\, #↓↓\, #↓↓, #↓↓/, #↓↓//, #↓\\, #↓\, #↓, #↓/, #↓//, #\\, #\, # || 7 & 289 || 275e, 282, 289, 296, 303c | | 27 || /, //, ↑\\, ↑\, ↑, ↑/, ↑//, ↑↑\\, ↑↑\, ↑↑, ↑↑/, ↑↑//, t<, t>, #↓↓\\, #↓↓\, #↓↓, #↓↓/, #↓↓//, #↓\\, #↓\, #↓, #↓/, #↓//, #\\, #\, # || 7 & 289 || 275e, 282, 289, 296, 303c | ||
|} | |} | ||
{| class="wikitable center-1" | |||
|+ Pemptomere tunings – order 2 | |||
|- | |||
! Sharpness !! Accidentals !! Temperament !! Equal temperaments | |||
|- | |||
| 52 || >, /, />, //, //>, ↑\\, ↑\<, ↑\, ↑<, ↑, ↑>, ↑/, ↑/>, ↑//, ↑//>, ↑↑\\, ↑↑\<, ↑↑\, ↑↑<, ↑↑, ↑↑>, ↑↑/, ↑↑/>, ↑↑//, t<, t, <br>t>, #↓↓\\, #↓↓\<, #↓↓\, #↓↓<, #↓↓, #↓↓>, #↓↓/, #↓↓/>, #↓\\<, #↓\\, #↓\<, #↓\, #↓<, #↓, #↓>, #↓/, #↓/>, #\\<, #\\, #\<, #\, #<, # || 7 & 554 || 547e, 554, 561c | |||
|- | |||
| 54 || >, /, />, //, //>, ↑\\, ↑\<, ↑\, ↑<, ↑, ↑>, ↑/, ↑/>, ↑//, ↑//>, ↑↑\\, ↑↑\<, ↑↑\, ↑↑<, ↑↑, ↑↑>, ↑↑/, ↑↑/>, ↑↑//, ↑↑//>, t<, t, <br>t>, #↓↓\\<, #↓↓\\, #↓↓\<, #↓↓\, #↓↓<, #↓↓, #↓↓>, #↓↓/, #↓↓/>, #↓\\<, #↓\\, #↓\<, #↓\, #↓<, #↓, #↓>, #↓/, #↓/>, #\\<, #\\, #\<, #\, #<, # || Neutral 7 & 289 || 571e, 578, 585 | |||
|} | |||
571e and 585 can be notated as either order 1 or order 2. | |||
=== Hemipemptomere tunings === | === Hemipemptomere tunings === | ||