270edo: Difference between revisions
Tristanbay (talk | contribs) →Theory: Partial undo of previous edit (corrected grammar/run-on sentence) |
Added Sagittal notation, and a list of alternate spellings, possibly will do the same with other EDOs |
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== Notation == | == Notation == | ||
=== Ups and downs notation === | === Ups and downs notation === | ||
270edo can be notated using [[Kite's ups and downs notation|ups and downs]] with quarter-tone accidentals: | 270edo can be notated using [[Kite's ups and downs notation|ups and downs]] with Stein-Zimmerman quarter-tone accidentals representing half-apotomes: | ||
{{Ups and downs sharpness|270|true}} | {{Ups and downs sharpness|270|true}} | ||
=== Sagittal notation === | |||
<span data-darkreader-inline-color="">The</span> [[Sagittal notation]] <span data-darkreader-inline-color="">for 311edo uses alterations of the Promethian set. Since the apotome can be split in two, a half-sharp and a half-flat may be used.</span> | |||
{| class="wikitable center-all" data-darkreader-inline-color="" | |||
! colspan="2" |+ edosteps | |||
|1 | |||
|2 | |||
|3 | |||
|4 | |||
|5 | |||
|6 | |||
|7 | |||
|8 | |||
|9 | |||
|10 | |||
|11 | |||
|12 | |||
|13 | |||
|14 | |||
|15 | |||
|16 | |||
|17 | |||
|18 | |||
|19 | |||
|20 | |||
|21 | |||
|22 | |||
|23 | |||
|24 | |||
|25 | |||
|26 | |||
|- | |||
! rowspan="3" |Sym. | |||
!SZ | |||
| rowspan="3" |<big>{{sagittal||(}}</big> | |||
| rowspan="3" |<big>{{sagittal|)|(}}</big> | |||
| rowspan="3" |<big>{{sagittal|)~|}}</big> | |||
| rowspan="3" |<big>{{Sagittal|~|(}}</big> | |||
| rowspan="3" |<big>{{Sagittal|/|}}</big> | |||
| rowspan="3" |<big>{{Sagittal||)}}</big> | |||
| rowspan="3" |<big>{{sagittal||\}}</big> | |||
| rowspan="3" |<big>{{sagittal|(|}}</big> | |||
| rowspan="3" |<big>{{sagittal|(|(}}</big> | |||
| rowspan="3" |<big>{{sagittal|//|}}</big> | |||
| rowspan="3" |<big>{{Sagittal|/|)}}</big> | |||
| rowspan="3" |<big>{{Sagittal|/|\}}</big> | |||
|<big>{{Sagittal|t}}</big> | |||
|<small>{{Sagittal||(}}{{sagittal|t}}</small> | |||
|<small>{{Sagittal|)|(}}{{sagittal|t}}</small> | |||
|<small>{{Sagittal|)~|}}{{sagittal|t}}</small> | |||
|<small>{{Sagittal|~|(}}{{sagittal|t}}</small> | |||
|<small>{{Sagittal|/|}}{{sagittal|t}}</small> | |||
|<small>{{Sagittal||)}}{{sagittal|t}}</small> | |||
|<small>{{Sagittal||\}}{{sagittal|t}}</small> | |||
|<small>{{Sagittal|(|}}{{sagittal|t}}</small> | |||
|<small>{{Sagittal|(|(}}{{sagittal|t}}</small> | |||
|<small>{{Sagittal|//|}}{{sagittal|t}}</small> | |||
|<small>{{Sagittal|/|)}}{{sagittal|t}}</small> | |||
|<small>{{Sagittal|/|\}}{{sagittal|t}}</small> | |||
| rowspan="2" |<big>{{Sagittal|#}}</big> | |||
|- | |||
!Evo | |||
| rowspan="2" |<big>{{sagittal|)/|\}}</big> | |||
|<small>{{sagittal|\!/}}{{sagittal|#}}</small> | |||
|<small>{{sagittal|\!)}}{{sagittal|#}}</small> | |||
|<small>{{sagittal|\\!}}{{sagittal|#}}</small> | |||
|<small>{{sagittal|(!(}}{{sagittal|#}}</small> | |||
|<small>{{sagittal|(!}}{{sagittal|#}}</small> | |||
|<small>{{sagittal|!/}}{{sagittal|#}}</small> | |||
|<small>{{sagittal|!)}}{{sagittal|#}}</small> | |||
|<small>{{sagittal|\!}}{{sagittal|#}}</small> | |||
|<small>{{sagittal|~!(}}{{sagittal|#}}</small> | |||
|<small>{{sagittal|)~!}}{{sagittal|#}}</small> | |||
|<small>{{sagittal|)!(}}{{sagittal|#}}</small> | |||
|<small>{{sagittal|!(}}{{sagittal|#}}</small> | |||
|- | |||
!Revo | |||
|<big>{{Sagittal|(|)}}</big> | |||
|<big>{{sagittal|(|\}}</big> | |||
|<big>{{sagittal|)||(}}</big> | |||
|<big>{{sagittal|~||(}}</big> | |||
|<big>{{sagittal|)||~}}</big> | |||
|<big>{{sagittal|/||}}</big> | |||
|<big>{{Sagittal|||)}}</big> | |||
|<big>{{Sagittal|||\}}</big> | |||
|<big>{{sagittal|(||(}}</big> | |||
|<big>{{sagittal|~||\}}</big> | |||
|<big>{{sagittal|//||}}</big> | |||
|<big>{{sagittal|/||)}}</big> | |||
|<big>{{Sagittal|/||\}}</big> | |||
|} | |||
<span data-darkreader-inline-color="">Alternate spellings in the Promethean set (comma tempered out):</span> | |||
* <span data-darkreader-inline-color="">{{sagittal|)|}}</span> = <span data-darkreader-inline-color="">{{sagittal||(}}</span> (2621440/2617839) | |||
* {{sagittal|)|(}} = {{sagittal|~|}} (1949696/1948617) | |||
* {{Sagittal|/|}} = <span data-darkreader-inline-color="">{{sagittal|)|~}}</span> ([[1216/1215]]) | |||
* {{Sagittal|~|(}} = {{Sagittal|~~|}} (22528/22491) | |||
* {{sagittal||\}} = {{sagittal|)|)}} ([[1540/1539]]) | |||
* {{sagittal|(|}} = {{sagittal|~|)}} ([[19712/19683]]) | |||
* {{sagittal|(|(}} = {{sagittal|~|\}} (20493/20480) | |||
* {{Sagittal|/|)}} = {{sagittal|)//|}} = {{sagittal|(|~}} ([[729/728]]) (1540/1539) | |||
* {{Sagittal|/|\}} = {{sagittal|(/|}} ([[131072/130977]]) ''([[3969/3968]])'' | |||
See [[Sagittal notation#Revo|apotome complements]] for equivalent accidental pairs. | |||
== Approximation to JI == | == Approximation to JI == | ||