28edo: Difference between revisions
m →Commas: cleanup |
m Text replacement - "Ups and Downs Notation" to "Ups and downs notation" |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
{{Harmonics in equal|28}} | {{Harmonics in equal|28}} | ||
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! colspan="2" | Just (j) | ! colspan="2" | Just (j) | ||
! rowspan="2" | Delta <br> (e-j) | ! rowspan="2" | Delta <br> (e-j) | ||
! rowspan="2" colspan="3" | [[Ups and | ! rowspan="2" colspan="3" | [[Ups and downs notation]] | ||
|- | |- | ||
! Cents | ! Cents | ||
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== Notation == | == Notation == | ||
===Sagittal notation=== | === Sagittal notation === | ||
This notation uses the same sagittal sequence as EDOs [[23edo#Sagittal notation|23]] and [[33edo#Sagittal notation|33]], and is a superset of the notations for EDOs [[14edo#Sagittal notation|14]] and [[7edo#Sagittal notation|7]]. | This notation uses the same sagittal sequence as EDOs [[23edo#Sagittal notation|23]] and [[33edo#Sagittal notation|33]], and is a superset of the notations for EDOs [[14edo#Sagittal notation|14]] and [[7edo#Sagittal notation|7]]. | ||
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</imagemap> | </imagemap> | ||
== Chord | == Chord names == | ||
Ups and downs can be used to name 28edo chords. Because every interval is perfect, the quality can be omitted, and the words major, minor, augmented and diminished are never used. | Ups and downs can be used to name 28edo chords. Because every interval is perfect, the quality can be omitted, and the words major, minor, augmented and diminished are never used. | ||
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* 0-7-16-23 = C vE G vB = Cv7 = C down-seven | * 0-7-16-23 = C vE G vB = Cv7 = C down-seven | ||
For a more complete list, see [[Ups and | For a more complete list, see [[Ups and downs notation #Chord names in other EDOs]]. | ||
== Rank | == Regular temperament properties == | ||
=== Rank-2 temperaments === | |||
{| class="wikitable center-1 center-2" | {| class="wikitable center-1 center-2" | ||
|- | |- | ||
! Periods <br> per | ! Periods<br>per 8ve | ||
! Generator | ! Generator | ||
! Temperaments | ! Temperaments | ||
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| 2 | | 2 | ||
| 3\28 | | 3\28 | ||
| [[ | | [[Octokaidecal]] | ||
|- | |- | ||
| 2 | | 2 | ||
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|} | |} | ||
== Commas == | === Commas === | ||
28et [[tempering out|tempers out]] the following [[comma]]s. This assumes the [[val]] {{val| 28 44 65 79 97 104 }}. | 28et [[tempering out|tempers out]] the following [[comma]]s. This assumes the [[val]] {{val| 28 44 65 79 97 104 }}. | ||
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== Instruments == | == Instruments == | ||
28edo can be played on the [[Lumatone]]. See | 28edo can be played on the [[Lumatone]]. See [[Lumatone mapping for 28edo]]. | ||
28edo can also be played on a [[14edo]] [[guitar]] with very little effort. See [[User:MisterShafXen/Skip fretting system 28 2 3]]. | |||
== Music == | == Music == | ||
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; [[Beheld]] | ; [[Beheld]] | ||
* [https://www.youtube.com/watch?v=0nvrUbw1VLQ ''Haze vibe''] | * [https://www.youtube.com/watch?v=0nvrUbw1VLQ ''Haze vibe''] | ||
; [[Bryan Deister]] | |||
* [https://www.youtube.com/shorts/--BIQKJ9uvI ''minuet in 28edo''] (2025) | |||
; [[duckapus]] | ; [[duckapus]] | ||