Interordinal: Difference between revisions
From Xenharmonic Reference
No edit summary |
No edit summary |
||
| Line 8: | Line 8: | ||
!|24edo interval | !|24edo interval | ||
!|"semi" names | !|"semi" names | ||
!|"inter" names | !|"inter" names | ||
!|"ultra"/"infra" | !|"ultra"/"infra" | ||
!|Greek-derived names | |||
|- | |- | ||
!|250c, 5\24 | !|250c, 5\24 | ||
||semifourth | ||semifourth | ||
||second-inter-third | ||second-inter-third | ||
||ultramajor second<br/>inframinor third | ||ultramajor second<br/>inframinor third | ||
||chthonic | |||
|- | |- | ||
!|450c, 9\24 | !|450c, 9\24 | ||
||semisixth | ||semisixth | ||
||third-inter-fourth | ||third-inter-fourth | ||
||ultramajor third<br/>infrafourth | ||ultramajor third<br/>infrafourth | ||
||naiadic | |||
|- | |- | ||
!|750c, 15\24 | !|750c, 15\24 | ||
||semitenth | ||semitenth | ||
||fifth-inter-sixth | ||fifth-inter-sixth | ||
||ultrafifth<br/>inframinor sixth | ||ultrafifth<br/>inframinor sixth | ||
||cocytic | |||
|- | |- | ||
!|950c, 19\24 | !|950c, 19\24 | ||
||semitwelfth | ||semitwelfth | ||
||sixth-inter-seventh | ||sixth-inter-seventh | ||
||ultramajor sixth<br/>inframinor seventh | ||ultramajor sixth<br/>inframinor seventh | ||
||ouranic | |||
|} | |} | ||
[[Category:Interval regions]] | [[Category:Interval regions]] | ||
Revision as of 17:43, 11 December 2025
Interordinals are interval categories halfway between adjacent interval classes of some MOS (usually diatonic). 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 |
