46edo: Difference between revisions
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Another notation uses [[Alternative symbols for ups and downs notation#Sharp-5|alternative ups and downs]]. Here, this can be done using sharps and flats with arrows, borrowed from extended [[Helmholtz–Ellis notation]]: | Another notation uses [[Alternative symbols for ups and downs notation#Sharp-5|alternative ups and downs]]. Here, this can be done using sharps and flats with arrows, borrowed from extended [[Helmholtz–Ellis notation]]: | ||
{{Sharpness-sharp5}} | {{Sharpness-sharp5}} | ||
=== Sagittal notation === | === Sagittal notation === | ||
This notation uses the same sagittal sequence as [[39edo #Sagittal notation|39edo]]. | This notation uses the same sagittal sequence as [[39edo #Sagittal notation|39edo]]. | ||
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== 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]] | ||
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=== Harmonic scales === | === Harmonic scales === | ||
46edo represents [[harmonic series|overtones]] 8 through 16 (written as [[JI]] ratios 8:9:10:11:12:13:14:15:16) with degrees 0, 8, 15, 21, 27, 32, 37, 42, 46. This corresponds to scale steps of 8, 7, 6, 6, 5, 5, 5, 4. | 46edo represents [[harmonic series|overtones]] 8 through 16 (written as [[JI]] ratios 8:9:10:11:12:13:14:15:16) with degrees 0, 8, 15, 21, 27, 32, 37, 42, 46. This corresponds to scale steps of 8, 7, 6, 6, 5, 5, 5, 4. | ||
* 8\46 (208.696 | * 8\46 (208.696{{c}}) stands in for frequency ratio [[9/8]] (203.910{{c}}). | ||
* 7\46 (182.609 | * 7\46 (182.609{{c}}) stands in for [[10/9]] (182.404{{c}}). | ||
* 6\46 (156.522 | * 6\46 (156.522{{c}}) stands in for [[11/10]] (165.004{{c}}) and [[12/11]] (150.637{{c}}). | ||
* 5\46 (130.435 | * 5\46 (130.435{{c}}) stands in for [[13/12]] (138.573{{c}}), [[14/13]] (128.298{{c}}) and [[15/14]] (119.443{{c}}). | ||
* 4\46 (104.348 | * 4\46 (104.348{{c}}) stands in for [[16/15]] (111.731{{c}}). | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||