Porcupine notation: Difference between revisions
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This is the rank-2 notation, for a generator of indeterminate cents. The edo notation uses ups and downs to represent one EDO-step. If an edo tempers out porcupine, it must be sharp-3, sharp-6, sharp-9, etc. (See the scale tree on the [[EDO|EDOs]] page.) The notation is identical for sharp-3 edos (15, 22, 29, etc.). For sharp-6 edos (e.g. 30 or 72), simply double all ups and downs. The generator is vvM2. The genchain is P1 - vvM2 - ^^m3 - P4 - vv5... or C - vvD - ^^Eb - F - vvG... Sharp-9 edos are rarely used, but the generator would be v<span style="font-size: 14.4px; vertical-align: super;">3</span>M2. | This is the rank-2 notation, for a generator of indeterminate cents. The edo notation uses ups and downs to represent one EDO-step. If an edo tempers out porcupine, it must be sharp-3, sharp-6, sharp-9, etc. (See the scale tree on the [[EDO|EDOs]] page.) The notation is identical for sharp-3 edos (15, 22, 29, etc.). For sharp-6 edos (e.g. 30 or 72), simply double all ups and downs. The generator is vvM2. The genchain is P1 - vvM2 - ^^m3 - P4 - vv5... or C - vvD - ^^Eb - F - vvG... Sharp-9 edos are rarely used, but the generator would be v<span style="font-size: 14.4px; vertical-align: super;">3</span>M2. | ||
== Vector's approach == | |||
The notes of the porcupine zarlino scale (LH Nice-Ionian) are labelled CDEFGAB corresponding to the diatonic scale in Ionian. The porcupine chroma is then notated by sharps and flats. | |||
Intervals are given irregular "functional names", as using a non-MOS as the base scale causes intervals to behave unexpectedly. | |||
{| class="wikitable" | |||
|+ | |||
!Note | |||
!Steps | |||
!Interval on C (functional name) | |||
|- | |||
|Cb | |||
|14 | |||
|diminished unison/octave | |||
|- | |||
|C | |||
|0 | |||
|perfect unison/octave | |||
|- | |||
|C# | |||
|1 | |||
|augmented unison/octave | |||
|- | |||
|Dbb | |||
|0 | |||
|diminished second | |||
|- | |||
|Db | |||
|1 | |||
|minor second | |||
|- | |||
|D | |||
|2 | |||
|narrow major second | |||
|- | |||
|D# | |||
|3 | |||
|wide major second | |||
|- | |||
|D## | |||
|4 | |||
|augmented second | |||
|- | |||
|E3b | |||
|2 | |||
|diminished third | |||
|- | |||
|Ebb | |||
|3 | |||
|wolf third | |||
|- | |||
|Eb | |||
|4 | |||
|minor third | |||
|- | |||
|E | |||
|5 | |||
|major third | |||
|- | |||
|E# | |||
|6 | |||
|augmented third | |||
|- | |||
|Fb | |||
|5 | |||
|diminished fourth | |||
|- | |||
|F | |||
|6 | |||
|perfect fourth | |||
|- | |||
|F# | |||
|7 | |||
|wolf fourth | |||
|- | |||
|F## | |||
|8 | |||
|augmented fourth | |||
|- | |||
|Gbb | |||
|7 | |||
|diminished fifth | |||
|- | |||
|Gb | |||
|8 | |||
|wolf fifth | |||
|- | |||
|G | |||
|9 | |||
|perfect fifth | |||
|- | |||
|G# | |||
|10 | |||
|augmented fifth | |||
|- | |||
|Abb | |||
|9 | |||
|diminished sixth | |||
|- | |||
|Ab | |||
|10 | |||
|minor sixth | |||
|- | |||
|A | |||
|11 | |||
|major sixth | |||
|- | |||
|A# | |||
|12 | |||
|wolf sixth | |||
|- | |||
|A## | |||
|13 | |||
|augmented sixth | |||
|- | |||
|B3b | |||
|11 | |||
|diminished seventh | |||
|- | |||
|Bbb | |||
|12 | |||
|narrow minor seventh / harmonic seventh | |||
|- | |||
|Bb | |||
|13 | |||
|wide minor seventh / dominant seventh | |||
|- | |||
|B | |||
|14 | |||
|major seventh | |||
|- | |||
|B# | |||
|0 | |||
|augmented seventh | |||
|} | |||
{{Navbox notation}} | {{Navbox notation}} | ||
[[Category:Porcupine]] | [[Category:Porcupine]] | ||
[[Category:Notation]] | [[Category:Notation]] | ||