22edo: Difference between revisions
Dave Keenan (talk | contribs) →Notation: Moved the Sagittal notation subsection to before less well-known systems but after conventional, Stein-Zimmermann and ups-and-downs subsections, to be consistent with other EDO Notation sections. |
Dave Keenan (talk | contribs) →Sagittal notation: Added staff-notation images |
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=== Sagittal notation === | === Sagittal notation === | ||
This notation uses the same sagittal sequence as EDOs [[15edo#Sagittal notation|15]] and [[29edo#Sagittal notation|29]], is a subset of the notations for EDOs [[44edo#Sagittal notation|44]] and [[66edo#Sagittal notation|66]], and is a superset of the notation for [[11edo#Sagittal notation|11-EDO]]. | |||
====Evo flavor==== | |||
<imagemap> | |||
File:22-EDO_Evo_Sagittal.svg | |||
desc none | |||
rect 80 0 300 50 [[Sagittal_notation]] | |||
rect 415 0 575 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation] | |||
rect 20 80 120 106 [[81/80]] | |||
default [[File:22-EDO_Evo_Sagittal.svg]] | |||
</imagemap> | |||
====Revo flavor==== | |||
<imagemap> | |||
File:22-EDO_Revo_Sagittal.svg | |||
desc none | |||
rect 80 0 300 50 [[Sagittal_notation]] | |||
rect 384 0 543 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation] | |||
rect 20 80 120 106 [[81/80]] | |||
default [[File:22-EDO_Revo_Sagittal.svg]] | |||
</imagemap> | |||
When 22edo is treated as generated by a cycle of its fifths, the natural notes {{nowrap|F C G D A E B}} represent a chain of those 13\22 fifths; consequently, the whole tone comes out to four degrees and the apotome (Pythagorean sharp/flat) comes out to three degrees. Three pairs of sagittal symbols, dividing that apotome into three parts, are all that is necessary, and offer plenty of enharmonic equivalents: | When 22edo is treated as generated by a cycle of its fifths, the natural notes {{nowrap|F C G D A E B}} represent a chain of those 13\22 fifths; consequently, the whole tone comes out to four degrees and the apotome (Pythagorean sharp/flat) comes out to three degrees. Three pairs of sagittal symbols, dividing that apotome into three parts, are all that is necessary, and offer plenty of enharmonic equivalents: | ||