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User:CompactStar/Ordinal interval notation: Difference between revisions

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CompactStar (talk | contribs)
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CompactStar (talk | contribs)
5,020 edits
Quartertone-based names will be adopted, so neutral intervals are correctly expressed.
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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.
WIP (the reason this is in userspace)
 
Ordinal interval notation is a notation for [[just intonation]] in which all intervals are represented by a normal interval classification combined with an ordinal number.


== 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"
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|-
|-
|[[11/8]]
|[[11/8]]
|P4
|U4
|perfect fourth
|ultrafourth
|-
|-
|[[13/8]]
|[[13/8]]
|m6
|an6
|minor sixth
|artoneutral sixth
|-
|-
|[[17/16]]
|[[17/16]]
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|augmented fourth
|augmented fourth
|-
|-
|[[29/16]]
|[[11/616]]
|m7
|an7
|minor seventh
|artoneutral seventh
|-
|-
|[[31/16]]
|[[31/16]]
|P8
|i8
|perfect octave
|infraoctave
|-
|-
|
|
|}
|}
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