User:CompactStar/Ordinal interval notation: Difference between revisions

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-Indexed interval notation is a notation for [[just intonation]] in which all intervals are represented by a normal interval category combined with a ordinal number or index. An index of 1 is used for the simplest interval in a category, an index of 2 is used for the second-simplest, an index of 3 is used for the third-simplest, and so on.
+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.
+== 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:
+{|class="wikitable"
+|-
+!Prime harmonic
+!colspan="2"|Interval classification
+|-
+|[[2/1]]
+|P8
+|perfect octave
+|-
+|[[3/2]]
+|P5
+|perfect fifth
+|-
+|[[5/4]]
+|M3
+|major third
+|-
+|[[7/4]]
+|m7
+|minor seventh
+|-
+|[[11/8]]
+|P4
+|perfect fourth
+|-
+|[[13/8]]
+|m6
+|minor sixth
+|-
+|[[17/16]]
+|m2
+|minor second
+|-
+|[[19/16]]
+|m3
+|minor third
+|-
+|[[23/16]]
+|A4
+|augmented fourth
+|-
+|[[29/16]]
+|m7
+|minor seventh
+|-
+|[[31/16]]
+|P8
+|perfect octave
+|-
+|
+|}