1080edo: Difference between revisions
Rework |
ArrowHead294 (talk | contribs) mNo edit summary |
||
| (3 intermediate revisions by 2 users not shown) | |||
| Line 1: | Line 1: | ||
{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
1080edo is [[enfactoring|enfactored]] in the 13-limit, with the same tuning as [[270edo]]. | 1080edo is [[enfactoring|enfactored]] in the 13-limit, with the same tuning as [[270edo]]. Aside from the patent val, there are a number of mappings to be cosidered. The 1080e val, {{mapping|1080 1712 2508 3032 '''3737'''}}, [[Tempering out|tempers out]] 114345/114244, and the 1080ef val, {{mapping|1080 1712 2508 3032 '''3737 3997'''}} it tempers out [[2080/2079]]. | ||
=== Odd harmonics === | === Odd harmonics === | ||
| Line 17: | Line 17: | ||
== Selected intervals == | == Selected intervals == | ||
{| class="wikitable mw-collapsible mw-collapsed" | {| class="wikitable mw-collapsible mw-collapsed" | ||
| | |- | ||
! Step | ! Step | ||
! Eliora's Naming System | ! Eliora's Naming System | ||
| Line 23: | Line 23: | ||
! Comments | ! Comments | ||
|- | |- | ||
|0 | | 0 | ||
|Prime | | Prime | ||
| | | | ||
| | | | ||
|- | |- | ||
|3 | | 3 | ||
|Degree | | Degree | ||
| | | | ||
|Derives from 360edo. | | Derives from 360edo. | ||
|- | |- | ||
|4 | | 4 | ||
|Ducentiseptuagesima | | Ducentiseptuagesima | ||
| | | | ||
|Derives from 270edo | | Derives from 270edo | ||
|- | |- | ||
|7 | | 7 | ||
|Septimal kelisma | | Septimal kelisma | ||
| | | | ||
| | | | ||
|- | |- | ||
|15 | | 15 | ||
|Moria | | Moria | ||
| | | | ||
|Derives form 72edo. | | Derives form 72edo. | ||
|- | |- | ||
|90 | | 90 | ||
|Dodecaphonic semitone | | Dodecaphonic semitone | ||
| | | | ||
| | | | ||
|- | |- | ||
|94 | | 94 | ||
|Septendecimal semitone | | Septendecimal semitone | ||
|17/16 | | 17/16 | ||
| | | | ||
|- | |- | ||
|240 | | 240 | ||
|Septimal submajor second | | Septimal submajor second | ||
|7/6 | | 7/6 | ||
|Derives form 9edo. | | Derives form 9edo. | ||
|- | |- | ||
|360 | | 360 | ||
|Landscape major third | | Landscape major third | ||
|63/50 | | 63/50 | ||
| | | | ||
|- | |- | ||
|495 | | 495 | ||
|24-phonic superfourth | | 24-phonic superfourth | ||
| | | | ||
|Derives from 24edo. | | Derives from 24edo. | ||
|- | |- | ||
|496 | | 496 | ||
|Undecimal superfourth | | Undecimal superfourth | ||
|11/8 | | 11/8 | ||
| | | | ||
|- | |- | ||
|630 | | 630 | ||
|Dodecaphonic fifth | | Dodecaphonic fifth | ||
| | | | ||
| | | | ||
|- | |- | ||
|632 | | 632 | ||
|135-phonic Fifth | | 135-phonic Fifth | ||
|3/2 | | 3/2 | ||
| | | | ||
|- | |- | ||
|756 | | 756 | ||
|Tridecimal neutral sixth, 13th harmonic | | Tridecimal neutral sixth, 13th harmonic | ||
|13/8 | | 13/8 | ||
|Derives from 10edo. | | Derives from 10edo. | ||
|- | |- | ||
|1080 | | 1080 | ||
|Octave | | Octave | ||
| | | | ||
| | | | ||
|} | |} | ||
== Music == | |||
; [[No Clue Music]] | |||
* [https://www.youtube.com/watch?v=hQOvnQhAcKU ''Not Torture Music''] (2024) | |||
[[Category:Equal divisions of the octave|####]] <!-- 4-digit number --> | [[Category:Equal divisions of the octave|####]] <!-- 4-digit number --> | ||