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| '''Indexed interval notation''' is a notation for [[just intonation]] devised by [[User:CompactStar|CompactStar]]. | | '''Indexed interval notation''' is a notation for [[just intonation]] devised by [[User:CompactStar|CompactStar]]. |
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| Intervals are represented by a conventional interval category and an index. The index is 1 for the simplest (with respect [[Tenney height]) interval in a category, 2 for the second-simplest, 3 for the third-simplest and so on. For example, [[6/5]] is the 1st minor 3rd and [[7/6]] is the 2nd minor 3rd. To get the category of an interval, multiply the categories of the prime harmonics which it factors into, which are predefined as follows: | | Intervals are represented by a normal interval category (like minor 3rd, perfect 4th or etc.) and an index. The index is 1 for the simplest (with respect [[Tenney height]]) interval in a category, 2 for the second-simplest, 3 for the third-simplest and so on. For example, [[6/5]] is the 1st minor 3rd (1m3) and [[7/6]] is the 2nd minor 3rd (2m3). Note names work the same way, using A as the reference pitch, so the C which is 6/5 above A (528 Hz) is notated as 1C. |
| {|class="wikitable"
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| |-
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| !Prime harmonic
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| !colspan="3"|Notation
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| |-
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| |[[2/1]]
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| |P8
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| |perfect octave
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| |C
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| |-
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| |[[3/2]]
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| |P5
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| |perfect 5th
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| |G
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| |-
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| |[[5/4]]
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| |M3
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| |major 3rd
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| |E
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| |-
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| |[[7/4]]
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| |m7
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| |minor 7th
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| |Bb
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| |-
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| |[[11/8]]
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| |P4
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| |perfect 4th
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| |F
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| |-
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| |[[13/8]]
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| |m6
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| |minor 6th
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| |Ab
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| |-
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| |[[17/16]]
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| |m2
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| |minor 2nd
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| |Db
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| |-
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| |[[19/16]]
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| |m3
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| |minor 3rd
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| |Eb
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| |-
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| |[[23/16]]
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| |A4
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| |augmented 4th
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| |F#
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| |-
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| |[[29/16]]
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| |m7
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| |minor 7th
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| |Bb
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| |-
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| |[[31/16]]
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| |P8
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| |perfect octave
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| |C
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| |-
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| |[[37/32]]
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| |M2
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| |major 2nd
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| |D
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| |-
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| |[[41/32]]
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| |M3
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| |major 3rd
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| |E
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| |-
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| |[[43/32]]
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| |P4
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| |perfect 4th
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| |F
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| |-
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| |[[47/32]]
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| |P5
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| |perfect 5th
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| |G
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| |-
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| |[[53/32]]
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| |M6
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| |major 6th
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| |A
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| |-
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| |[[61/32]]
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| |M7
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| |major 7th
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| |B
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| |-
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| |[[67/64]]
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| |m2
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| |minor 2nd
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| |Db
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| |-
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| |[[71/64]]
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| |M2
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| |major 2nd
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| |D
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| |-
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| |[[73/64]]
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| |M2
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| |major 2nd
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| |D
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| |-
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| |[[79/64]]
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| |M3
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| |major 3rd
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| |E
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| |-
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| |[[83/64]]
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| |P4
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| |perfect 4th
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| |F
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| |-
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| |[[89/64]]
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| |d5
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| |diminished 5th
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| |Gb
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| |-
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| |[[97/64]]
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| |P5
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| |perfect 5th
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| |G
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| |}
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