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15edo: Difference between revisions

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One neat thing about using this notation system is that its notated major scale, D E F# G A B C# D, directly corresponds to 15edo’s LH Nice-Ionian scale.
One neat thing about using this notation system is that its notated major scale, D E F# G A B C# D, directly corresponds to 15edo’s LH Nice-Ionian scale.
==== Zarlino notation ====
When 15edo zarlino is treated as a MODMOS of porcupine, it can also be used as nominals. Note that each interval is given a ''functional name'', since MOS-based names act unexpectedly with this as a scale:
{| class="wikitable"
|-
!Cents
!Functional name
! Note name(s)
|-
|0
|Unison
|D
|-
| 80
|Minor Second / Chromatic Semitone / Semitone
| D#
|-
| 160
|Small Wholetone
|Eb
|-
| 240
|Large Wholetone / Wolf Third
|E
|-
| 320
|Minor Third
|F
|-
|400
|Major Third
|F#
|-
|480
|Augmented Third / Perfect Fourth
| Gb
|-
|560
|Wolf Fourth / Diminished Fifth
|G
|-
|640
|Wolf Fifth / Augmented Fourth
|G# / Ab
|-
|720
|Perfect Fifth / Diminished Sixth
| A
|-
| 800
|Minor Sixth
|A#
|-
|880
|Major Sixth
| Bb
|-
|960
|Harmonic Seventh / Small Minor Seventh / Wolf Sixth
|B
|-
|1040
|Large Minor Seventh
|C
|-
|1120
|Major Seventh / Diminished Octave
|C# / Dd
|-
| 1200
|Octave
| D
|}


===Porcupine Notation (Octatonic)===
===Porcupine Notation (Octatonic)===
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!Cents
!Cents
!Interval Name
!Interval Name
! Note names
! Note names (Greek)
!Note names (Latin)
|-
|-
|0
|0
|Zeroquill
|Zeroquill
|α - α
|α - α
|A - A
|-
|-
|80
|80
|Small Quill / Half Quill
|Small Quill / Half Quill
|α - β\
|α - β\
|A - Bb
|-
|-
|160
|160
|Quill
|Quill
|α - β
|α - β
|A - B
|-
|-
|240
|240
|Small Diquill
|Small Diquill
|α - χ\
|α - χ\
|A - Cb
|-
|-
|320
|320
|Large Diquill
|Large Diquill
|α - χ
|α - χ
|A - C
|-
|-
|400
|400
|Small Triquill
|Small Triquill
|α - δ\
|α - δ\
|A - Db
|-
|-
|480
|480
| Large Triquill
| Large Triquill
|α - δ
|α - δ
|A - D
|-
|-
|560
|560
|Small Fourquill
|Small Fourquill
|α - ε\
|α - ε\
|A - Eb
|-
|-
|640
|640
| Large Fourquill
| Large Fourquill
|α - ε
|α - ε
|A - E
|-
|-
|720
|720
|Small Fivequill
|Small Fivequill
|α - φ\
|α - φ\
|A - Fb
|-
|-
|800
|800
|Large Fivequill
|Large Fivequill
|α - φ
|α - φ
|A - F
|-
|-
|880
|880
|Small Sixquill
|Small Sixquill
|α - γ\
|α - γ\
|A - Gb
|-
|-
|960
|960
|Large Sixquill
|Large Sixquill
|α - γ
|α - γ
|A - G
|-
|-
|1040
|1040
|Small Sevenquill
|Small Sevenquill
|α - η\
|α - η\
|A - Hb
|-
|-
|1120
|1120
| Large Sevenquill
| Large Sevenquill
| α - η
| α - η
|A - H
|-
|-
|1200
|1200
|Octoquill
|Octoquill
|α - α
|α - α
|A - A
|}
|}


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