Xenharmonic Wiki

User:CompactStar/Ordinal interval notation: Difference between revisions

← Older edit
VisualWikitext
CompactStar (talk | contribs)
5,020 edits
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
CompactStar (talk | contribs)
5,020 edits
Tag: Redirect target changed
 
(32 intermediate revisions by the same user not shown)
Line 1: Line 1:
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.
#redirect [[User:CompactStar/Lefts and rights notation]]
 
== 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
|-
|
|}
Retrieved from "https://en.xen.wiki/w/User:CompactStar/Ordinal_interval_notation"