217edo: Difference between revisions
Added notation section in Sagittal, Ups-and-downs, and 31edo-based notation |
m →Sagittal: accidentally made the tables collapsible |
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=== Sagittal === | === 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>. | 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>. | ||
{| class="wikitable | {| class="wikitable" | ||
|+Sagittal notation | |+Sagittal notation | ||
!217edosteps | !217edosteps | ||
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=== Ups-and-downs notation === | === Ups-and-downs notation === | ||
The 5-up (quup) alteration neatly maps to the pythagorean/septimal comma. | The 5-up (quup) alteration neatly maps to the pythagorean/septimal comma. | ||
{| class="wikitable | {| class="wikitable" style="text-align:center;" | ||
|+Ups-and-downs notation | |+Ups-and-downs notation | ||
! rowspan="3" |217edosteps | ! rowspan="3" |217edosteps | ||
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This could be useful when [[31edo]] as a base tuning, where the whole palette of 217edo is only used to provide subtle inflections of the [[31edo]] pitches, similar to how one might use [[159edo]] to provide subtle corrections of [[53edo]] pitches. | This could be useful when [[31edo]] as a base tuning, where the whole palette of 217edo is only used to provide subtle inflections of the [[31edo]] pitches, similar to how one might use [[159edo]] to provide subtle corrections of [[53edo]] pitches. | ||
{| class="wikitable | {| class="wikitable" | ||
|+Alternative 31edo-based notation | |+Alternative 31edo-based notation | ||
!-14 | !-14 | ||