User:BudjarnLambeth/5- to 10-tone scales in 91edo: Difference between revisions
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=== [[Sfourth]][46] === | === [[Sfourth]][46] === | ||
Palace | Palace (approximated from [[Porky]] in [[29edo]]) | ||
158.24175824175825 | 158.24175824175825 | ||
| Line 27: | Line 27: | ||
=== [[Catakleismic]][53] === | === [[Catakleismic]][53] === | ||
=== | === [[Meantone]]/[[Domineering]][55] === | ||
The fifth of 91edo is a suitable generator for [[meantone]]. In particular, it closely approximates the [[1/7-comma meantone]] generator. It also closely approximates the optimal 11-limit POTE generator for [[domineering]], one possible alternative extension of meantone. | The fifth of 91edo is a suitable generator for [[meantone]]. In particular, it closely approximates the [[1/7-comma meantone]] generator. It also closely approximates the optimal 11-limit POTE generator for [[domineering]], one possible alternative extension of meantone. | ||
Outside of meantone, the 91edo fifth is also an accurate generator for [[ | Outside of meantone, the 91edo fifth is also an accurate generator for [[schismic–Pythagorean equivalence continuum#Lalagu_.2812.2679.29|Lalagu (12 & 79)]], which is theoretically very different to meantone (tempering different [[commas]]), but audibly very similar. | ||
The scales listed in this section are subsets of [[Meantone55 in 91edo]]. | The scales listed in this section are subsets of [[Meantone55 in 91edo]]. | ||
==== Major scales ==== | ==== Major scales ==== | ||
Major | Major (approximated from [[12edo]]) | ||
197.80219780219778 | 197.80219780219778 | ||
| Line 52: | Line 52: | ||
Major Pentatonic | Major Pentatonic (approximated from [[12edo]]) | ||
197.80219780219778 | 197.80219780219778 | ||
| Line 66: | Line 66: | ||
Ionian Pentatonic | Ionian Pentatonic (approximated from [[12edo]]) | ||
395.60439560439556 | 395.60439560439556 | ||
| Line 79: | Line 79: | ||
==== Minor scales ==== | ==== Minor scales ==== | ||
Minor | Minor (approximated from [[12edo]]) | ||
197.80219780219778 | 197.80219780219778 | ||
| Line 96: | Line 96: | ||
Minor Harmonic | Minor Harmonic (approximated from [[12edo]]) | ||
197.80219780219778 | 197.80219780219778 | ||
| Line 113: | Line 113: | ||
Minor Hexatonic | Minor Hexatonic (approximated from [[12edo]]) | ||
197.80219780219778 | 197.80219780219778 | ||
| Line 128: | Line 128: | ||
Minor Melodic | Minor Melodic (approximated from [[12edo]]) | ||
197.80219780219778 | 197.80219780219778 | ||
| Line 145: | Line 145: | ||
Minor Pentatonic | Minor Pentatonic (approximated from [[12edo]]) | ||
303.2967032967033 | 303.2967032967033 | ||
| Line 158: | Line 158: | ||
==== Modal scales ==== | ==== Modal scales ==== | ||
Dorian | Dorian (approximated from [[12edo]]) | ||
197.80219780219778 | 197.80219780219778 | ||
| Line 175: | Line 175: | ||
Dorian Harmonic | Dorian Harmonic (approximated from [[12edo]]) | ||
197.80219780219778 | 197.80219780219778 | ||
| Line 192: | Line 192: | ||
Mixolydian | Mixolydian (approximated from [[12edo]]) | ||
197.80219780219778 | 197.80219780219778 | ||
| Line 209: | Line 209: | ||
Mixolydian Pentatonic | Mixolydian Pentatonic (approximated from [[12edo]]) | ||
395.60439560439556 | 395.60439560439556 | ||
| Line 222: | Line 222: | ||
Phrygian | Phrygian (approximated from [[12edo]]) | ||
105.49450549450549 | 105.49450549450549 | ||
| Line 239: | Line 239: | ||
Phrygian Dominant | Phrygian Dominant (approximated from [[12edo]]) | ||
105.49450549450549 | 105.49450549450549 | ||
| Line 256: | Line 256: | ||
Phrygian Dominant Hexatonic | Phrygian Dominant Hexatonic (approximated from [[12edo]]) | ||
105.49450549450549 | 105.49450549450549 | ||
| Line 271: | Line 271: | ||
Phrygian Dominant Pentatonic | Phrygian Dominant Pentatonic (approximated from [[12edo]]) | ||
395.60439560439556 | 395.60439560439556 | ||
| Line 284: | Line 284: | ||
Phrygian Pentatonic | Phrygian Pentatonic (approximated from [[12edo]]) | ||
105.49450549450549 | 105.49450549450549 | ||
| Line 297: | Line 297: | ||
==== Blues scales ==== | ==== Blues scales ==== | ||
[[Lost spirit]] | [[Lost spirit]] (approximated from [[Meantone]] in [[31edo]]) | ||
303.2967032967033 | 303.2967032967033 | ||
| Line 314: | Line 314: | ||
Greyed Skies | Greyed Skies (this is the original/default tuning) | ||
316.4835164835165 | 316.4835164835165 | ||
| Line 331: | Line 331: | ||
[[Blackened skies]] | [[Blackened skies]] (approximated from [[Compton]] in [[72edo]]) | ||
329.67032967032964 | 329.67032967032964 | ||
| Line 348: | Line 348: | ||
Blues Aeolian Hexatonic | Blues Aeolian Hexatonic (approximated from [[12edo]]) | ||
303.2967032967033 | 303.2967032967033 | ||
| Line 363: | Line 363: | ||
Blues Aeolian Pentatonic I | Blues Aeolian Pentatonic I (approximated from [[12edo]]) | ||
303.2967032967033 | 303.2967032967033 | ||
| Line 376: | Line 376: | ||
Blues Aeolian Pentatonic II | Blues Aeolian Pentatonic II (approximated from [[12edo]]) | ||
303.2967032967033 | 303.2967032967033 | ||
| Line 389: | Line 389: | ||
Blues Dorian Hexatonic | Blues Dorian Hexatonic (approximated from [[12edo]]) | ||
303.2967032967033 | 303.2967032967033 | ||
| Line 404: | Line 404: | ||
Blues Dorian Pentatonic | Blues Dorian Pentatonic (approximated from [[12edo]]) | ||
303.2967032967033 | 303.2967032967033 | ||
| Line 417: | Line 417: | ||
Blues Harmonic Hexatonic | Blues Harmonic Hexatonic (approximated from [[12edo]]) | ||
197.80219780219778 | 197.80219780219778 | ||
| Line 432: | Line 432: | ||
Blues Leading | Blues Leading (approximated from [[12edo]]) | ||
303.2967032967033 | 303.2967032967033 | ||
| Line 449: | Line 449: | ||
Blues Minor | Blues Minor (approximated from [[12edo]]) | ||
303.2967032967033 | 303.2967032967033 | ||
| Line 464: | Line 464: | ||
Blues Pentachordal | Blues Pentachordal (approximated from [[12edo]]) | ||
197.80219780219778 | 197.80219780219778 | ||
| Line 479: | Line 479: | ||
==== Other scales ==== | ==== Other scales ==== | ||
Augmented | Augmented (approximated from [[12edo]]) | ||
303.2967032967033 | 303.2967032967033 | ||
| Line 494: | Line 494: | ||
Dominant Pentatonic | Dominant Pentatonic (approximated from [[12edo]]) | ||
197.80219780219778 | 197.80219780219778 | ||
| Line 507: | Line 507: | ||
Double Harmonic | Double Harmonic (approximated from [[12edo]]) | ||
92.3076923076923 | 92.3076923076923 | ||
| Line 524: | Line 524: | ||
Hirajoshi | Hirajoshi (approximated from [[12edo]]) | ||
197.80219780219778 | 197.80219780219778 | ||
| Line 537: | Line 537: | ||
Javanese Pentachordal | Javanese Pentachordal (approximated from [[12edo]]) | ||
105.49450549450549 | 105.49450549450549 | ||
| Line 550: | Line 550: | ||
Akebono I (approximated from [[12edo]]) | |||
197.80219780219778 | 197.80219780219778 | ||
| Line 563: | Line 563: | ||
Cosmic | Cosmic (approximated from [[32afdo]]) | ||
501.0989010989011 | 501.0989010989011 | ||
| Line 575: | Line 575: | ||
1200.000 | 1200.000 | ||
Sharpened Cosmic (approximated from [[Compton]] in [[96edo]]) | |||
501.0989010989011 | 501.0989010989011 | ||
| Line 589: | Line 582: | ||
698.9010989010989 | 698.9010989010989 | ||
804.3956043956043 | |||
1015.3846153846154 | 1015.3846153846154 | ||
| Line 595: | Line 588: | ||
1200.000 | 1200.000 | ||
=== | === [[Tritonic]][31] === | ||
=== [[Absurdity]][42] === | |||
Palace (approximated from [[Porky]] in [[29edo]]) | |||
158.24175824175825 | 158.24175824175825 | ||
316.4835164835165 | 316.4835164835165 | ||
501.0989010989011 | 501.0989010989011 | ||
698.9010989010989 | 698.9010989010989 | ||
857.1428571428571 | 857.1428571428571 | ||
1015.3846153846154 | 1015.3846153846154 | ||
1200.000 | |||
== Other scales == | |||
Spectral Cosmic (approximated from [[32afdo]]) | |||
* 514.2857142857142 | |||
* 698.9010989010989 | |||
* 804.3956043956043 | |||
* 1002.1978021978022 | |||
* 1200. | |||
514.2857142857142 | |||
698.9010989010989 | |||
804.3956043956043 | |||
1002.1978021978022 | |||
1200. | |||
== See also == | == See also == | ||
* [[1/7-comma meantone]] | * [[Meantone]] | ||
* [[Domineering]] | ** [[1/7-comma meantone]] | ||
* [[5- to 10-tone scales in | ** [[Domineering]] | ||
* [[5- to 10-tone scales in | * [[Fractional-octave temperaments]] | ||
* [[5- to 10-tone scales in | ** [[5- to 10-tone scales in 60edo]] | ||
* [[5- to 10-tone scales in | ** [[5- to 10-tone scales in 72edo]] | ||
* [[5- to 10-tone scales | ** [[5- to 10-tone scales in 84edo]] | ||
** [[5- to 10-tone scales in 96edo]] | |||
* [[5- to 10-tone scales from the modes of the harmonic series]] | |||
** [[5- to 10-tone scales from the modes of the subharmonic series]] | |||
[[Category:91edo]] | [[Category:91edo]] | ||