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Porcupine notation: Difference between revisions

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== Kite Giedraitis's approach ==
== Kite Giedraitis's approach ==
Porcupine divides the perfect 4th into 3 equal steps, thus its [[pergen|pergen]] is (P8, P4/3). [[Ups_and_Downs_Notation|Ups and downs]] [[Ups_and_Downs_Notation|notation]] can be used. The generator is vM2. The enharmonic is v<span style="vertical-align: super;">3</span>A1, thus ^<span style="vertical-align: super;">3</span>C equals C#. The enharmonically equivalent alternate generator is ^^m2. The genchain is
Porcupine divides the perfect 4th into 3 equal steps, thus its [[pergen|pergen]] is (P8, P4/3). [[Ups and downs notation|Ups and downs]] [[Ups and downs notation|notation]] can be used. The generator is vM2. The enharmonic is v<span style="vertical-align: super;">3</span>A1, thus ^<span style="vertical-align: super;">3</span>C equals C#. The enharmonically equivalent alternate generator is ^^m2. The genchain is


...^1 - M2 - vM3 - ^4 - P5 - vM6 - ^m7 - <u>'''P1'''</u> - vM2 - ^m3 - P4 - v5 - ^m6 - m7 - v8...
...^1 - M2 - vM3 - ^4 - P5 - vM6 - ^m7 - <u>'''P1'''</u> - vM2 - ^m3 - P4 - v5 - ^m6 - m7 - v8...
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|+
!Note
!Note
!Onyx (TAMNAMS)
!Steps of 15edo
!Steps of 15edo
!Steps of 22edo
!Interval on C (functional name)
!Interval on C (functional name)
|-
|-
|Cb
|Cb
|d0
|14
|14
|21
|diminished unison/octave
|diminished unison/octave
|-
|-
|C
|C
|P0
|0
|0
|0
|perfect unison/octave
|perfect unison/octave
|-
|-
|C#
|C#
|A0
|1
|1
|1
|augmented unison/octave
|augmented unison/octave
|-
|-
|Dbb
|Dbb
|dd1
|0
|0
|1
|diminished second
|diminished second
|-
|-
|Db
|Db
|d1
|1
|1
|2
|minor second
|minor second
|-
|-
|D
|D
|P1
|2
|2
|3
|narrow major second
|narrow major second
|-
|-
|D#
|D#
|A1
|3
|3
|4
|wide major second
|wide major second
|-
|-
|D##
|D##
|AA1
|4
|4
|5
|augmented second
|augmented second
|-
|-
|E3b
|E3b
|dd2
|2
|2
|4
|diminished third
|diminished third
|-
|-
|Ebb
|Ebb
|d2
|3
|3
|5
|wolf third
|wolf third
|-
|-
|Eb
|Eb
|m2
|4
|4
|6
|minor third
|minor third
|-
|-
|E
|E
|M2
|5
|5
|7
|major third
|major third
|-
|-
|E#
|E#
|A2
|6
|6
|8
|augmented third
|augmented third
|-
|-
|Fb
|Fb
|d3
|5
|5
|8
|diminished fourth
|diminished fourth
|-
|-
|F
|F
|m3
|6
|6
|9
|perfect fourth
|perfect fourth
|-
|-
|F#
|F#
|M3
|7
|7
|10
|wolf fourth
|wolf fourth
|-
|-
|F##
|F##
|A3
|8
|8
|11
|augmented fourth
|augmented fourth
|-
|-
|Gbb
|Gbb
|d4
|7
|7
|11
|diminished fifth
|diminished fifth
|-
|-
|Gb
|Gb
|m4
|8
|8
|12
|wolf fifth
|wolf fifth
|-
|-
|G
|G
|M4
|9
|9
|13
|perfect fifth
|perfect fifth
|-
|-
|G#
|G#
|A4
|10
|10
|14
|augmented fifth
|augmented fifth
|-
|-
|Abb
|Abb
|d5
|9
|9
|14
|diminished sixth
|diminished sixth
|-
|-
|Ab
|Ab
|m5
|10
|10
|15
|minor sixth
|minor sixth
|-
|-
|A
|A
|M5
|11
|11
|16
|major sixth
|major sixth
|-
|-
|A#
|A#
|A5
|12
|12
|17
|wolf sixth
|wolf sixth
|-
|-
|A##
|A##
|AA5
|13
|13
|18
|augmented sixth
|augmented sixth
|-
|-
|B3b
|B3b
|dd6
|11
|11
|17
|diminished seventh
|diminished seventh
|-
|-
|Bbb
|Bbb
|d6
|12
|12
|18
|narrow minor seventh / harmonic seventh
|narrow minor seventh / harmonic seventh
|-
|-
|Bb
|Bb
|P6
|13
|13
|19
|wide minor seventh / dominant seventh
|wide minor seventh / dominant seventh
|-
|-
|B
|B
|A6
|14
|14
|20
|major seventh
|major seventh
|-
|-
|B#
|B#
|AA6
|0
|0
|21
|augmented seventh
|augmented seventh
|}
|}
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