Syntonic–rastmic subchroma notation: Difference between revisions
Changed text representations of accidentals |
According to the discussion on Discord, rework textual representations of syntonic and demisyntonic accidentals |
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|+Series of syntonic accidentals | |+Series of syntonic accidentals | ||
|- | |- | ||
! Name !! Ratio !! Monzo !! Textual<br>Representation | ! Name !! Ratio !! Monzo !! Textual<br>Representation | ||
|- | |- | ||
| … || … || … || … | | … || … || … || … | ||
|- | |- | ||
| Synsharp || (81/80)<sup>1</sup> || {{monzo| -4 4 -1 }} || | | Synsharp || (81/80)<sup>1</sup> || {{monzo| -4 4 -1 }} || ↑ | ||
|- | |- | ||
| Demisynsharp || (81/80)<sup>1/2</sup> || {{monzo| -2 2 -1/2 }} || | | Demisynsharp || (81/80)<sup>1/2</sup> || {{monzo| -2 2 -1/2 }} || ^ | ||
|- | |- | ||
| (None) || (81/80)<sup>0</sup> || {{monzo| 0 }} || | | (None) || (81/80)<sup>0</sup> || {{monzo| 0 }} || | ||
|- | |- | ||
| Demisynflat || (81/80)<sup>-1/2</sup> || {{monzo| 2 -2 1/2 }} || | | Demisynflat || (81/80)<sup>-1/2</sup> || {{monzo| 2 -2 1/2 }} || v | ||
|- | |- | ||
| Synflat || (81/80)<sup>-1</sup> || {{monzo| 4 -4 1 }} || | | Synflat || (81/80)<sup>-1</sup> || {{monzo| 4 -4 1 }} || ↓ | ||
|- | |- | ||
| … || … || … || … | | … || … || … || … | ||
|} | |} | ||
: '''Note''': The textual representation forms of the syntonic and demisyntonic accidentals need to be checked over, while the graphical forms of the demisyntonic accidentals are a work in progress. | |||
=== Rastmic and demirastmic accidentals === | === Rastmic and demirastmic accidentals === | ||
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| 2 || t, # || Mohaha || 10e, 17, 24, 31, 38 | | 2 || t, # || Mohaha || 10e, 17, 24, 31, 38 | ||
|- | |- | ||
| 4 || | | 4 || ↑, t, #↓, # || Tetracot || 27e, 34, 41, 48, 55c | ||
|- | |- | ||
| 6 || | | 6 || ↑, t↓, t, t↑, #↓, # || Larry || 51ce, 58, 65, 72, 79 | ||
|- | |- | ||
| 8 || | | 8 || ↑, ↑↑, t↓, t, t↑, #↓↓, #↓, # || 7 & 89 || 82c, 89, 96 | ||
|} | |} | ||
55 can be notated as a mohaha tuning. 75 can be notated as a tetracot tuning. 123 and 137 can be notated as larry tunings. | 55 can be notated as a mohaha tuning. 75 can be notated as a tetracot tuning. 123 and 137 can be notated as larry tunings. | ||
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| 3 || t<, t>, # || Porcupine restriction || 15, 22, 29, 36ce | | 3 || t<, t>, # || Porcupine restriction || 15, 22, 29, 36ce | ||
|- | |- | ||
| 5 || | | 5 || ↑, t<, t>, #↓, # || Hitchcock restriction || 39, 46, 53, 60e | ||
|- | |- | ||
| 7 || | | 7 || ↑, ↑↑, t<, t>, #↓↓, #↓, # || Absurdity extension || 63c, 70, 77, 84e | ||
|} | |} | ||
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| 6 || >, t<, t, t>, #<, # || Neutral porcupine restriction || 51, 58ce | | 6 || >, t<, t, t>, #<, # || Neutral porcupine restriction || 51, 58ce | ||
|- | |- | ||
| 8 || >, | | 8 || >, ↑, t<, t, t>, #↓, #<, # || Tetracot extension || 68, 75, 82e | ||
|- | |- | ||
| 10 || >, | | 10 || >, ↑, ↑>, t<, t, t>, #↓<, #↓, #<, # || Neutral hitchcock restriction || 92, 99, 106e | ||
|} | |} | ||
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! Sharpness !! Accidentals !! Temperament !! Equal temperaments | ! Sharpness !! Accidentals !! Temperament !! Equal temperaments | ||
|- | |- | ||
| 7 || /, | | 7 || /, ↑, t<, t>, #↓, #\, # || Sevond extension || 56, 63, 70c | ||
|- | |- | ||
| 9 || /, | | 9 || /, ↑, ↑/, t<, t>, #↓\, #↓, #\, # || 7 & 87 || 80, 87, 94, 101c | ||
|- | |- | ||
| 11 || /, | | 11 || /, ↑, ↑/, ↑↑, t<, t>, #↓↓, #↓\, #↓, #\, # || Twentcufo || 104c, 111, 118, 125, 132e | ||
|- | |- | ||
| 13 || /, | | 13 || /, ↑, ↑/, ↑↑, ↑↑/, t<, t>, #↓↓\, #↓↓, #↓\, #↓, #\, # || 7 & 149 || 135c, 142, 149, 156e | ||
|} | |} | ||
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! Sharpness !! Accidentals !! Temperament !! Equal temperaments | ! Sharpness !! Accidentals !! Temperament !! Equal temperaments | ||
|- | |- | ||
| 18 || >, /, | | 18 || >, /, ↑<, ↑, ↑>, ↑/, ↑↑<, t<, t, <br>t>, #↓↓>, #↓\, #↓<, #↓, #↓>, #\, #<, # || Neutral 7 & 87 || 174, 181, 188c | ||
|- | |- | ||
| 20 || >, /, | | 20 || >, /, ↑<, ↑, ↑>, ↑/, ↑↑<, ↑↑, t<, t, <br>t>, #↓↓, #↓↓>, #↓\, #↓<, #↓, #↓>, #\, #<, # || 7 & 205 || 198, 205, 212, 219ce | ||
|- | |- | ||
| 22 || >, /, | | 22 || >, /, ↑<, ↑, ↑>, ↑/, ↑↑<, ↑↑, ↑↑>, t<, <br>t, t>, #↓↓<, #↓↓, #↓↓>, #↓\, #↓<, #↓, #↓>, #\, #<, # || Neutral twentcufo || 222c, 229, 236, 243e | ||
|} | |} | ||
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! Sharpness !! Accidentals !! Temperament !! Equal temperaments | ! Sharpness !! Accidentals !! Temperament !! Equal temperaments | ||
|- | |- | ||
| 13 || /, | | 13 || /, ↑\, ↑, ↑/, ↑↑\, t<, t>, #↓↓/, #↓\, #↓, #↓/, #\, # || 7 & 121 || 121, 128, 135, 142c | ||
|- | |- | ||
| 15 || /, | | 15 || /, ↑\, ↑, ↑/, ↑↑\, ↑↑, t<, t>, #↓↓, #↓↓/, #↓\, #↓, #↓/, #\, # || Trinity restriction || 145, 152, 159, 166, 173c | ||
|- | |- | ||
| 17 || /, | | 17 || /, ↑\, ↑, ↑/, ↑↑\, ↑↑, ↑↑/, t<, t>, #↓↓\, #↓↓, #↓↓/, #↓\, #↓, #↓/, #\, # || 7 & 183 || 169c, 176, 183, 190, 197e | ||
|- | |- | ||
| 19 || /, | | 19 || /, ↑\, ↑, ↑/, ↑↑\, ↑↑, ↑↑/, ↑↑//, t<, t>, #↓↓\\, #↓↓\, #↓↓, #↓↓/, #↓\, #↓, #↓/, #\, # || 7 & 207 || 200c, 207, 214 | ||
|} | |} | ||
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! Sharpness !! Accidentals !! Temperament !! Equal temperaments | ! Sharpness !! Accidentals !! Temperament !! Equal temperaments | ||
|- | |- | ||
| 28 || >, /, />, | | 28 || >, /, />, ↑\, ↑<, ↑, ↑>, ↑/, ↑/>, ↑↑\, ↑↑<, ↑↑, t<, t, <br>t>, #↓↓, #↓↓>, #↓↓/, #↓\<, #↓\, #↓<, #↓, #↓>, #↓/, #\<, #\, #<, # || 7 & 280 || 280, 287, 294c | ||
|- | |- | ||
| 30 || >, /, />, | | 30 || >, /, />, ↑\, ↑<, ↑, ↑>, ↑/, ↑/>, ↑↑\, ↑↑<, ↑↑, ↑↑>, t<, t, <br>t>, #↓↓<, #↓↓, #↓↓>, #↓↓/, #↓\<, #↓\, #↓<, #↓, #↓>, #↓/, #\<, #\, #<, # || Neutral trinity restriction || 304, 311, 318, 325c | ||
|- | |- | ||
| 32 || >, /, />, | | 32 || >, /, />, ↑\, ↑<, ↑, ↑>, ↑/, ↑/>, ↑↑\, ↑↑<, ↑↑, ↑↑>, ↑↑/, t<, t, <br>t>, #↓↓\, #↓↓<, #↓↓, #↓↓>, #↓↓/, #↓\<, #↓\, #↓<, #↓, #↓>, #↓/, #\<, #\, #<, # || 7 & 335 || 321ce, 328, 335, 342, 349, 356ce | ||
|- | |- | ||
| 34 || >, /, />, | | 34 || >, /, />, ↑\, ↑<, ↑, ↑>, ↑/, ↑/>, ↑↑\, ↑↑<, ↑↑, ↑↑>, ↑↑/, ↑↑/>, t<, t, <br>t>, #↓↓\<, #↓↓\, #↓↓<, #↓↓, #↓↓>, #↓↓/, #↓\<, #↓\, #↓<, #↓, #↓>, #↓/, #\<, #\, #<, # || 7 & 359 || 352c, 359, 366, 373 | ||
|- | |- | ||
| 36 || >, /, />, | | 36 || >, /, />, ↑\, ↑<, ↑, ↑>, ↑/, ↑/>, ↑↑\, ↑↑<, ↑↑, ↑↑>, ↑↑/, ↑↑/>, ↑↑//, t<, t, <br>t>, #↓↓\\, #↓↓\<, #↓↓\, #↓↓<, #↓↓, #↓↓>, #↓↓/, #↓\<, #↓\, #↓<, #↓, #↓>, #↓/, #\<, #\, #<, # || 7 & 390 || 383c, 390, 397 | ||
|} | |} | ||
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! Sharpness !! Accidentals !! Temperament !! Equal temperaments | ! Sharpness !! Accidentals !! Temperament !! Equal temperaments | ||
|- | |- | ||
| 12 || >, | | 12 || >, ↑<, ↑, ↑>, t<, t, t>, #↓<, #↓, #↓>, #<, # || 7 & 109 || 109, 116, 123ce | ||
|- | |- | ||
| 14 || >, | | 14 || >, ↑<, ↑, ↑>, ↑/, t<, t, t>, #↓\, #↓<, #↓, #↓>, #<, # || 7 & 140 || 133, 140, 147e | ||
|- | |- | ||
| 16 || >, | | 16 || >, ↑<, ↑, ↑>, ↑↑<, ↑↑, t<, t, t>, #↓↓, #↓↓>, #↓<, #↓, #↓>, #<, # || 7 & 157 || 157, 164, 171e | ||
|} | |} | ||
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! Sharpness !! Accidentals !! Temperament !! Equal temperaments | ! Sharpness !! Accidentals !! Temperament !! Equal temperaments | ||
|- | |- | ||
| 19 || /, //, | | 19 || /, //, ↑\, ↑, ↑/, ↑//, ↑↑\, ↑↑, t<, t>, #↓↓, #↓↓/, #↓\\, #↓\, #↓, #↓/, #\\, #\, # || 7 & 193 || 186e, 193, 200, 207c | ||
|- | |- | ||
| 21 || /, //, | | 21 || /, //, ↑\, ↑, ↑/, ↑//, ↑↑\, ↑↑, ↑↑/, t<, t>, #↓↓\, #↓↓, #↓↓/, #↓\\, #↓\, #↓, #↓/, #\\, #\, # || Brahmagupta restriction || 210e, 217, 224, 231, 238c | ||
|- | |- | ||
| 23 || /, //, | | 23 || /, //, ↑\, ↑, ↑/, ↑//, ↑↑\, ↑↑, ↑↑/, ↑↑//, t<, t>, #↓↓\\, #↓↓\, #↓↓, #↓↓/, #↓\\, #↓\, #↓, #↓/, #\\, #\, # || 7 & 241 || 234c, 241, 248, 255 | ||
|} | |} | ||
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! Sharpness !! Accidentals !! Temperament !! Equal temperaments | ! Sharpness !! Accidentals !! Temperament !! Equal temperaments | ||
|- | |- | ||
| 40 || >, /, />, //, | | 40 || >, /, />, //, ↑\<, ↑\, ↑<, ↑, ↑>, ↑/, ↑/>, ↑//, ↑↑\<, ↑↑\, ↑↑<, ↑↑, ↑↑>, ↑↑/, t<, t, <br>t>, #↓↓\, #↓↓<, #↓↓, #↓↓>, #↓↓/, #↓↓/>, #↓\\, #↓\<, #↓\, #↓<, #↓, #↓>, #↓/, #↓/>, #\\, #\<, #\, #<, # || 7 & 417 || 410e, 417, 424, 431c | ||
|- | |- | ||
| 42 || >, /, />, //, | | 42 || >, /, />, //, ↑\<, ↑\, ↑<, ↑, ↑>, ↑/, ↑/>, ↑//, ↑↑\<, ↑↑\, ↑↑<, ↑↑, ↑↑>, ↑↑/, ↑↑/>, t<, t, <br>t>, #↓↓\<, #↓↓\, #↓↓<, #↓↓, #↓↓>, #↓↓/, #↓↓/>, #↓\\, #↓\<, #↓\, #↓<, #↓, #↓>, #↓/, #↓/>, #\\, #\<, #\, #<, # || Neutral brahmagupta restriction || 434e, 441, 448, 455 | ||
|- | |- | ||
| 44 || >, /, />, //, | | 44 || >, /, />, //, ↑\<, ↑\, ↑<, ↑, ↑>, ↑/, ↑/>, ↑//, ↑↑\<, ↑↑\, ↑↑<, ↑↑, ↑↑>, ↑↑/, ↑↑/>, ↑↑//, t<, t, <br>t>, #↓↓\\, #↓↓\<, #↓↓\, #↓↓<, #↓↓, #↓↓>, #↓↓/, #↓↓/>, #↓\\, #↓\<, #↓\, #↓<, #↓, #↓>, #↓/, #↓/>, #\\, #\<, #\, #<, # || 7 & 472 || 458ce, 465, 472, 479 | ||
|} | |} | ||
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! Sharpness !! Accidentals !! Temperament !! Equal temperaments | ! Sharpness !! Accidentals !! Temperament !! Equal temperaments | ||
|- | |- | ||
| 25 || /, //, | | 25 || /, //, ↑\\, ↑\, ↑, ↑/, ↑//, ↑↑\\, ↑↑\, ↑↑, ↑↑/, t<, t>, #↓↓\, #↓↓, #↓↓/, #↓↓//, #↓\\, #↓\, #↓, #↓/, #↓//, #\\, #\, # || 7 & 258 || 251e, 258, 265, 272c | ||
|- | |- | ||
| 27 || /, //, | | 27 || /, //, ↑\\, ↑\, ↑, ↑/, ↑//, ↑↑\\, ↑↑\, ↑↑, ↑↑/, ↑↑//, t<, t>, #↓↓\\, #↓↓\, #↓↓, #↓↓/, #↓↓//, #↓\\, #↓\, #↓, #↓/, #↓//, #\\, #\, # || 7 & 289 || 275e, 282, 289, 296, 303c | ||
|} | |} | ||
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! Sharpness !! Accidentals !! Temperament !! Equal temperaments | ! Sharpness !! Accidentals !! Temperament !! Equal temperaments | ||
|- | |- | ||
| 52 || >, /, />, //, //>, | | 52 || >, /, />, //, //>, ↑\\, ↑\<, ↑\, ↑<, ↑, ↑>, ↑/, ↑/>, ↑//, ↑//>, ↑↑\\, ↑↑\<, ↑↑\, ↑↑<, ↑↑, ↑↑>, ↑↑/, ↑↑/>, ↑↑//, t<, t, <br>t>, #↓↓\\, #↓↓\<, #↓↓\, #↓↓<, #↓↓, #↓↓>, #↓↓/, #↓↓/>, #↓\\<, #↓\\, #↓\<, #↓\, #↓<, #↓, #↓>, #↓/, #↓/>, #\\<, #\\, #\<, #\, #<, # || 7 & 554 || 547e, 554, 561c | ||
|- | |- | ||
| 54 || >, /, />, //, //>, | | 54 || >, /, />, //, //>, ↑\\, ↑\<, ↑\, ↑<, ↑, ↑>, ↑/, ↑/>, ↑//, ↑//>, ↑↑\\, ↑↑\<, ↑↑\, ↑↑<, ↑↑, ↑↑>, ↑↑/, ↑↑/>, ↑↑//, ↑↑//>, t<, t, <br>t>, #↓↓\\<, #↓↓\\, #↓↓\<, #↓↓\, #↓↓<, #↓↓, #↓↓>, #↓↓/, #↓↓/>, #↓\\<, #↓\\, #↓\<, #↓\, #↓<, #↓, #↓>, #↓/, #↓/>, #\\<, #\\, #\<, #\, #<, # || Neutral 7 & 289 || 571e, 578, 585 | ||
|} | |} | ||
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! Sharpness !! Accidentals !! Temperament !! Equal temperaments | ! Sharpness !! Accidentals !! Temperament !! Equal temperaments | ||
|- | |- | ||
| 24 || >, /, | | 24 || >, /, ↑\, ↑<, ↑, ↑>, ↑/, ↑↑\, ↑↑<, ↑↑, t<, t, t>, #↓↓, #↓↓>, #↓↓/, #↓\, #↓<, #↓, #↓>, #↓/, #\, #<, # || 7 & 246 || 239, 246, 253, 260c | ||
|- | |- | ||
| 26 || >, /, | | 26 || >, /, ↑\, ↑<, ↑, ↑>, ↑/, ↑↑\, ↑↑<, ↑↑, ↑↑>, t<, t, t>, #↓↓<, #↓↓, #↓↓>, #↓↓/, #↓\, #↓<, #↓, #↓>, #↓/, #\, #<, # || 7 & 270 || 256c, 263, 270, 277, 284, 291ce | ||
|- | |- | ||
| 28 || >, /, | | 28 || >, /, ↑\, ↑<, ↑, ↑>, ↑/, ↑↑\, ↑↑<, ↑↑, ↑↑>, ↑↑/, t<, t, t>, #↓↓\, #↓↓<, #↓↓, #↓↓>, #↓↓/, #↓\, #↓<, #↓, #↓>, #↓/, #\, #<, # || 7 & 294 || 287c, 294, 301, 308e | ||
|} | |} | ||