@@ Line 134: / Line 134: @@
 == 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...
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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.
+== 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
+!Onyx (TAMNAMS)
+!Steps of 15edo
+!Steps of 22edo
+!Interval on C (functional name)
+|-
+|Cb
+|d0
+|14
+|21
+|diminished unison/octave
+|-
+|C
+|P0
+|0
+|0
+|perfect unison/octave
+|-
+|C#
+|A0
+|1
+|1
+|augmented unison/octave
+|-
+|Dbb
+|dd1
+|0
+|1
+|diminished second
+|-
+|Db
+|d1
+|1
+|2
+|minor second
+|-
+|D
+|P1
+|2
+|3
+|narrow major second
+|-
+|D#
+|A1
+|3
+|4
+|wide major second
+|-
+|D##
+|AA1
+|4
+|5
+|augmented second
+|-
+|E3b
+|dd2
+|2
+|4
+|diminished third
+|-
+|Ebb
+|d2
+|3
+|5
+|wolf third
+|-
+|Eb
+|m2
+|4
+|6
+|minor third
+|-
+|E
+|M2
+|5
+|7
+|major third
+|-
+|E#
+|A2
+|6
+|8
+|augmented third
+|-
+|Fb
+|d3
+|5
+|8
+|diminished fourth
+|-
+|F
+|m3
+|6
+|9
+|perfect fourth
+|-
+|F#
+|M3
+|7
+|10
+|wolf fourth
+|-
+|F##
+|A3
+|8
+|11
+|augmented fourth
+|-
+|Gbb
+|d4
+|7
+|11
+|diminished fifth
+|-
+|Gb
+|m4
+|8
+|12
+|wolf fifth
+|-
+|G
+|M4
+|9
+|13
+|perfect fifth
+|-
+|G#
+|A4
+|10
+|14
+|augmented fifth
+|-
+|Abb
+|d5
+|9
+|14
+|diminished sixth
+|-
+|Ab
+|m5
+|10
+|15
+|minor sixth
+|-
+|A
+|M5
+|11
+|16
+|major sixth
+|-
+|A#
+|A5
+|12
+|17
+|wolf sixth
+|-
+|A##
+|AA5
+|13
+|18
+|augmented sixth
+|-
+|B3b
+|dd6
+|11
+|17
+|diminished seventh
+|-
+|Bbb
+|d6
+|12
+|18
+|narrow minor seventh / harmonic seventh
+|-
+|Bb
+|P6
+|13
+|19
+|wide minor seventh / dominant seventh
+|-
+|B
+|A6
+|14
+|20
+|major seventh
+|-
+|B#
+|AA6
+|0
+|21
+|augmented seventh
+|}
 {{Navbox notation}}
 [[Category:Porcupine]]
 [[Category:Notation]]

Porcupine notation: Difference between revisions