217edo: Difference between revisions
Added info about Sagittal |
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=== Sagittal === | === Sagittal === | ||
217edo can be written in Sagittal using almost the entire Athenian extension (except for {{sagittal| | 217edo can be written in Sagittal using almost the entire Athenian extension (except for {{sagittal||\}} {{sagittal|!/}} {{sagittal|/||}} {{sagittal|\!!}} since it tempers [[1240029/1239040]]), by virtue of its apotome being equal to 21 edosteps, which is the maximum equal division of the apotome (eda) supported by Athenian<ref name=":0">[[Ragismic microtemperaments#Brahmagupta]]</ref>. It is identical to [[224edo]]'s Sagittal notation, but it uses the 11/7C for the +6/-6 alteration instead of 55C.<ref name=":1">https://sagittal.org/sagittal.pdf p. 11</ref> | ||
It shares the same exact symbol system as the Athenian notation for Just Intonation or ''Medium-precision JI notation.''<ref name=":1" /> | |||
{| class="wikitable" | {| class="wikitable" | ||
|+Sagittal notation | |+Sagittal notation | ||
| Line 234: | Line 235: | ||
|{{sagittal|!!/}} | |{{sagittal|!!/}} | ||
|{{sagittal|!!)}} | |{{sagittal|!!)}} | ||
|{{sagittal| | |{{sagittal|)!!~}} | ||
|{{sagittal|~!!(}} | |{{sagittal|~!!(}} | ||
|{{sagittal|)!!(}} | |{{sagittal|)!!(}} | ||
| Line 243: | Line 244: | ||
| rowspan="2" |{{sagittal|\\!}} | | rowspan="2" |{{sagittal|\\!}} | ||
| rowspan="2" |{{sagittal|(!(}} | | rowspan="2" |{{sagittal|(!(}} | ||
| rowspan="2" |{{sagittal|! | | rowspan="2" |{{sagittal|(!}} | ||
| rowspan="2" |{{sagittal|!)}} | | rowspan="2" |{{sagittal|!)}} | ||
| rowspan="2" |{{sagittal|\!}} | | rowspan="2" |{{sagittal|\!}} | ||
| Line 255: | Line 256: | ||
| rowspan="2" |{{sagittal|/|}} | | rowspan="2" |{{sagittal|/|}} | ||
| rowspan="2" |{{sagittal||)}} | | rowspan="2" |{{sagittal||)}} | ||
| rowspan="2" |{{sagittal|| | | rowspan="2" |{{sagittal|(|}} | ||
| rowspan="2" |{{sagittal|(|(}} | | rowspan="2" |{{sagittal|(|(}} | ||
| rowspan="2" |{{sagittal|//|}} | | rowspan="2" |{{sagittal|//|}} | ||
| Line 264: | Line 265: | ||
|{{sagittal|)||(}} | |{{sagittal|)||(}} | ||
|{{sagittal|~||(}} | |{{sagittal|~||(}} | ||
|{{sagittal| | |{{sagittal|)||~}} | ||
|{{sagittal|||)}} | |{{sagittal|||)}} | ||
|{{sagittal|||\}} | |{{sagittal|||\}} | ||
| Line 274: | Line 275: | ||
|Evo | |Evo | ||
|{{sagittal|b}} | |{{sagittal|b}} | ||
|{{sagittal|b | |{{sagittal|b}} | ||
|{{sagittal|b | |{{sagittal|b}} | ||
|{{sagittal|b | |{{sagittal|b}} | ||
|{{sagittal|b | |{{sagittal|b}} | ||
|{{sagittal|b | |{{sagittal|b}} | ||
|{{sagittal|b | |{{sagittal|b}} | ||
|{{sagittal|b | |{{sagittal|b}} | ||
|{{sagittal|b | |{{sagittal|b}} | ||
|{{sagittal|b | |{{sagittal|b}} | ||
|{{sagittal|b | |{{sagittal|b}} | ||
|{{sagittal|# | |{{sagittal|#}} | ||
|{{sagittal|# | |{{sagittal|#}} | ||
|{{sagittal|# | |{{sagittal|#}} | ||
|{{sagittal|# | |{{sagittal|#}} | ||
|{{sagittal|# | |{{sagittal|#}} | ||
|{{sagittal|# | |{{sagittal|#}} | ||
|{{sagittal|# | |{{sagittal|#}} | ||
|{{sagittal|# | |{{sagittal|#}} | ||
|{{sagittal|# | |{{sagittal|#}} | ||
|{{sagittal|# | |{{sagittal|#}} | ||
|{{sagittal|#}} | |{{sagittal|#}} | ||
|} | |} | ||
=== Ups-and-downs notation === | === Ups-and-downs notation === | ||
The 5-up (quup) alteration neatly maps to the pythagorean | The 5-up (quup) alteration neatly maps to the pythagorean-septimal comma. | ||
{| class="wikitable" style="text-align:center;" | {| class="wikitable" style="text-align:center;" | ||
|+Ups-and-downs notation | |+Ups-and-downs notation | ||