37edo: Difference between revisions
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== Intervals == | == Intervals == | ||
{| class="wikitable center-1 right-2" | {| class="wikitable center-1 right-2" | ||
|- | |- | ||
| Line 341: | Line 340: | ||
== Notation == | == Notation == | ||
=== Ups and downs notation === | |||
=== Ups and | 37edo can be notated using [[ups and downs notation]]: | ||
{| class="wikitable center-all right-2 left-3" | {| class="wikitable center-all right-2 left-3" | ||
| Line 579: | Line 578: | ||
|} | |} | ||
===Sagittal notation=== | To cover the microtonal notes, sharps and flats with arrows borrowed from extended [[Helmholtz–Ellis notation]] can be used: | ||
{{Sharpness-sharp6}} | |||
If double arrows are not desirable, arrows can be attached to quarter-tone accidentals: | |||
{{Sharpness-sharp6-qt}} | |||
=== Ivan Wyschnegradsky's notation === | |||
Since a sharp raises by six steps, Wyschnegradsky accidentals borrowed from [[72edo]] can also be used: | |||
{{Sharpness-sharp6-iw}} | |||
=== Sagittal notation === | |||
This notation uses the same sagittal sequence as EDOs [[23edo#Second-best fifth notation|23b]], [[30edo#Sagittal notation|30]], and [[44edo#Sagittal notation|44]]. | This notation uses the same sagittal sequence as EDOs [[23edo#Second-best fifth notation|23b]], [[30edo#Sagittal notation|30]], and [[44edo#Sagittal notation|44]]. | ||
==== Evo and Revo flavors ==== | |||
<imagemap> | <imagemap> | ||
File:37-EDO_Sagittal.svg | File:37-EDO_Sagittal.svg | ||
| Line 592: | Line 604: | ||
</imagemap> | </imagemap> | ||
====Alternative Evo flavor==== | ==== Alternative Evo flavor ==== | ||
<imagemap> | <imagemap> | ||
File:37-EDO_Alternative_Evo_Sagittal.svg | File:37-EDO_Alternative_Evo_Sagittal.svg | ||
| Line 603: | Line 614: | ||
</imagemap> | </imagemap> | ||
====Evo-SZ flavor==== | ==== Evo-SZ flavor ==== | ||
<imagemap> | <imagemap> | ||
File:37-EDO_Evo-SZ_Sagittal.svg | File:37-EDO_Evo-SZ_Sagittal.svg | ||
| Line 616: | Line 626: | ||
== Regular temperament properties == | == Regular temperament properties == | ||
{| class="wikitable center-4 center-5 center-6" | {| class="wikitable center-4 center-5 center-6" | ||
|- | |||
! rowspan="2" | [[Subgroup]] | ! rowspan="2" | [[Subgroup]] | ||
! rowspan="2" | [[Comma list]] | ! rowspan="2" | [[Comma list]] | ||
| Line 628: | Line 639: | ||
| {{monzo| 86 -37 }} | | {{monzo| 86 -37 }} | ||
| {{mapping| 37 86 }} | | {{mapping| 37 86 }} | ||
| | | −0.619 | ||
| 0.619 | | 0.619 | ||
| 1.91 | | 1.91 | ||
| Line 635: | Line 646: | ||
| 3136/3125, 4194304/4117715 | | 3136/3125, 4194304/4117715 | ||
| {{mapping| 37 86 104 }} | | {{mapping| 37 86 104 }} | ||
| | | −0.905 | ||
| 0.647 | | 0.647 | ||
| 2.00 | | 2.00 | ||
| Line 642: | Line 653: | ||
| 176/175, 1375/1372, 65536/65219 | | 176/175, 1375/1372, 65536/65219 | ||
| {{mapping| 37 86 104 128 }} | | {{mapping| 37 86 104 128 }} | ||
| | | −0.681 | ||
| 0.681 | | 0.681 | ||
| 2.10 | | 2.10 | ||
| Line 649: | Line 660: | ||
| 176/175, 640/637, 847/845, 1375/1372 | | 176/175, 640/637, 847/845, 1375/1372 | ||
| {{mapping| 37 86 104 128 137 }} | | {{mapping| 37 86 104 128 137 }} | ||
| | | −0.692 | ||
| 0.610 | | 0.610 | ||
| 1.88 | | 1.88 | ||
| Line 737: | Line 748: | ||
== Zeta properties == | == Zeta properties == | ||
===Zeta peak index=== | === Zeta peak index === | ||
{| class="wikitable" | {| class="wikitable" | ||
! colspan="3" |Tuning | ! colspan="3" |Tuning | ||