Interordinal: Difference between revisions
From Xenharmonic Reference
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[[Category:Interval regions]] | {| class="wikitable" | ||
|+Interval regions | |||
|[[Just-noticeable difference|Unison]] | |||
|[[Comma]] | |||
|[[Quartertone]] | |||
|[[Semitone]] | |||
|[[Neutral second]] | |||
|[[Major second]] | |||
|[[Inframinor third]] | |||
|[[Minor third]] | |||
|[[Neutral third]] | |||
|[[Major third]] | |||
|[[Ultramajor third]] | |||
|[[Fourth]] | |||
|[[Semiaugmented fourth]] | |||
|- | |||
|[[Tritone]] | |||
|[[Semidiminished fifth]] | |||
|[[Fifth]] | |||
|[[Inframinor sixth]] | |||
|[[Minor sixth]] | |||
|[[Neutral sixth]] | |||
|[[Major sixth]] | |||
|[[Ultramajor sixth]] | |||
|[[Minor seventh]] | |||
|[[Neutral seventh]] | |||
|[[Major seventh]] | |||
|[[Ultramajor seventh]] | |||
|[[Octave]] | |||
|} | |||
[[index.php?title=Category:Interval regions]] | |||
Revision as of 09:44, 13 December 2025
Interordinals (also called interseptimals) are interval categories halfway between adjacent interval classes of the diatonic scale. For example, 250c is an interordinal because it falls between 200c (the 12edo major second) and 300c (the 12edo minor third).
19edo and 24edo are notable edos with interordinals. Notable JI interordinals include 15/13 (a semifourth) and 13/10 (a semisixth).
The following table shows various ways to name interordinals:
| 24edo interval | "semi" names | "inter" names | "ultra"/"infra" | Greek-derived names |
|---|---|---|---|---|
| 250c, 5\24 | semifourth | second-inter-third | ultramajor second inframinor third |
chthonic |
| 450c, 9\24 | semisixth | third-inter-fourth | ultramajor third infrafourth |
naiadic |
| 750c, 15\24 | semitenth | fifth-inter-sixth | ultrafifth inframinor sixth |
cocytic |
| 950c, 19\24 | semitwelfth | sixth-inter-seventh | ultramajor sixth inframinor seventh |
ouranic |
