User:CompactStar/Ordinal interval notation: Difference between revisions

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m CompactStar moved page User:CompactStar/Indexed interval notation to User:CompactStar/Lefts and rights notation over redirect: I think I may go back to the old version of this idea
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Indexed interval notation is a notation for [[just intonation]] in which all intervals are represented by a normal interval classification combined with a ordinal number or index. An index of 1 is used for the simplest interval in an interval class (such as [[6/5]] for minor thirds), an index of 2 is used for the second-simplest, an index of 3 is used for the third-simplest, and so on.
'''Lefts and rights notation'' is a notation for [[just intonation]]  


== Definition ==
To get the classification for an interval, multiply the interval classes of the prime harmonics which it factors into, which are predefined as follows:
To get the classification for an interval, multiply the interval classes of the prime harmonics which it factors into, which are predefined as follows:
{|class="wikitable"
{|class="wikitable"
Line 11: Line 10:
|P8
|P8
|perfect octave
|perfect octave
|C
|-
|-
|[[3/2]]
|[[3/2]]
|P5
|P5
|perfect fifth
|perfect fifth
|G
|-
|-
|[[5/4]]
|[[5/4]]
|M3
|M3
|major third
|major third
|E
|-
|-
|[[7/4]]
|[[7/4]]
|m7
|m7
|minor seventh
|minor seventh
|Bb
|-
|-
|[[11/8]]
|[[11/8]]
|P4
|P4
|perfect fourth
|perfect fourth
|F
|-
|-
|[[13/8]]
|[[13/8]]
|m6
|m6
|minor sixth
|minor sixth
|Ab
|-
|-
|[[17/16]]
|[[17/16]]
|m2
|m2
|minor second
|minor second
|Db
|-
|-
|[[19/16]]
|[[19/16]]
|m3
|m3
|minor third
|minor third
|Eb
|-
|-
|[[23/16]]
|[[23/16]]
|A4
|A4
|augmented fourth
|augmented fourth
|F#
|-
|-
|[[29/16]]
|[[29/16]]
|m7
|m7
|minor seventh
|minor seventh
|Bb
|-
|-
|[[31/16]]
|[[31/16]]
|P8
|P8
|perfect octave
|perfect octave
|-
|C
|
|}
|}

Revision as of 08:03, 26 November 2023

'Lefts and rights notation is a notation for just intonation

To get the classification for an interval, multiply the interval classes of the prime harmonics which it factors into, which are predefined as follows:

Prime harmonic Interval classification
2/1 P8 perfect octave C
3/2 P5 perfect fifth G
5/4 M3 major third E
7/4 m7 minor seventh Bb
11/8 P4 perfect fourth F
13/8 m6 minor sixth Ab
17/16 m2 minor second Db
19/16 m3 minor third Eb
23/16 A4 augmented fourth F#
29/16 m7 minor seventh Bb
31/16 P8 perfect octave C
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