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This article lists some 5- to 10-note scales in [[91edo]]. The tuning of each scale degree is given in [[cents]] | This article lists some 5- to 10-note scales in [[91edo]]. The tuning of each scale degree is given in [[cents]]. | ||
== [[ | == Subsets of [[MOS scale]]s == | ||
=== [[Sfourth]] === | === [[Sfourth]][46] === | ||
Palace (approximated from [[Porky]] in [[29edo]]) | |||
158.24175824175825 | |||
316.4835164835165 | |||
501.0989010989011 | |||
698.9010989010989 | |||
857.1428571428571 | |||
1015.3846153846154 | |||
1200.000 | |||
=== [[ | === [[Semaphore]][43] === | ||
=== [[ | === [[Septimin]][41] === | ||
=== [[ | === [[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 [[ | 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 44: | Line 52: | ||
Major Pentatonic | Major Pentatonic (approximated from [[12edo]]) | ||
197.80219780219778 | 197.80219780219778 | ||
| Line 58: | Line 66: | ||
Ionian Pentatonic | Ionian Pentatonic (approximated from [[12edo]]) | ||
395.60439560439556 | 395.60439560439556 | ||
| Line 71: | Line 79: | ||
==== Minor scales ==== | ==== Minor scales ==== | ||
Minor | Minor (approximated from [[12edo]]) | ||
197.80219780219778 | 197.80219780219778 | ||
| Line 88: | Line 96: | ||
Minor Harmonic | Minor Harmonic (approximated from [[12edo]]) | ||
197.80219780219778 | 197.80219780219778 | ||
| Line 105: | Line 113: | ||
Minor Hexatonic | Minor Hexatonic (approximated from [[12edo]]) | ||
197.80219780219778 | 197.80219780219778 | ||
| Line 120: | Line 128: | ||
Minor Melodic | Minor Melodic (approximated from [[12edo]]) | ||
197.80219780219778 | 197.80219780219778 | ||
| Line 137: | Line 145: | ||
Minor Pentatonic | Minor Pentatonic (approximated from [[12edo]]) | ||
303.2967032967033 | 303.2967032967033 | ||
| Line 150: | Line 158: | ||
==== Modal scales ==== | ==== Modal scales ==== | ||
Dorian | Dorian (approximated from [[12edo]]) | ||
197.80219780219778 | 197.80219780219778 | ||
| Line 167: | Line 175: | ||
Dorian Harmonic | Dorian Harmonic (approximated from [[12edo]]) | ||
197.80219780219778 | 197.80219780219778 | ||
| Line 184: | Line 192: | ||
Mixolydian | Mixolydian (approximated from [[12edo]]) | ||
197.80219780219778 | 197.80219780219778 | ||
| Line 201: | Line 209: | ||
Mixolydian Pentatonic | Mixolydian Pentatonic (approximated from [[12edo]]) | ||
395.60439560439556 | 395.60439560439556 | ||
| Line 214: | Line 222: | ||
Phrygian | Phrygian (approximated from [[12edo]]) | ||
105.49450549450549 | 105.49450549450549 | ||
| Line 231: | Line 239: | ||
Phrygian Dominant | Phrygian Dominant (approximated from [[12edo]]) | ||
105.49450549450549 | 105.49450549450549 | ||
| Line 248: | Line 256: | ||
Phrygian Dominant Hexatonic | Phrygian Dominant Hexatonic (approximated from [[12edo]]) | ||
105.49450549450549 | 105.49450549450549 | ||
| Line 263: | Line 271: | ||
Phrygian Dominant Pentatonic | Phrygian Dominant Pentatonic (approximated from [[12edo]]) | ||
395.60439560439556 | 395.60439560439556 | ||
| Line 276: | Line 284: | ||
Phrygian Pentatonic | Phrygian Pentatonic (approximated from [[12edo]]) | ||
105.49450549450549 | 105.49450549450549 | ||
| Line 289: | Line 297: | ||
==== Blues scales ==== | ==== Blues scales ==== | ||
[[Lost spirit]] (approximated from [[Meantone]] in [[31edo]]) | |||
303.2967032967033 | 303.2967032967033 | ||
| Line 295: | Line 303: | ||
501.0989010989011 | 501.0989010989011 | ||
619.7802197802198 | |||
698.9010989010989 | 698.9010989010989 | ||
923.076923076923 | |||
1002.1978021978022 | |||
1200.000 | 1200.000 | ||
Greyed Skies (this is the original/default tuning) | |||
316.4835164835165 | |||
501.0989010989011 | 501.0989010989011 | ||
593.4065934065934 | |||
698.9010989010989 | 698.9010989010989 | ||
791.2087912087911 | |||
1107.6923076923076 | |||
1200.000 | 1200.000 | ||
[[Blackened skies]] (approximated from [[Compton]] in [[72edo]]) | |||
329.67032967032964 | |||
501.0989010989011 | 501.0989010989011 | ||
580.2197802197802 | |||
698.9010989010989 | 698.9010989010989 | ||
778.0219780219779 | |||
1120.8791208791208 | |||
1200.000 | 1200.000 | ||
Blues | Blues Aeolian Hexatonic (approximated from [[12edo]]) | ||
303.2967032967033 | 303.2967032967033 | ||
| Line 362: | Line 359: | ||
804.3956043956043 | 804.3956043956043 | ||
1200.000 | 1200.000 | ||
Blues | Blues Aeolian Pentatonic I (approximated from [[12edo]]) | ||
303.2967032967033 | 303.2967032967033 | ||
| Line 376: | Line 371: | ||
698.9010989010989 | 698.9010989010989 | ||
804.3956043956043 | |||
1200.000 | 1200.000 | ||
Blues | Blues Aeolian Pentatonic II (approximated from [[12edo]]) | ||
303.2967032967033 | 303.2967032967033 | ||
| Line 389: | Line 382: | ||
698.9010989010989 | 698.9010989010989 | ||
804.3956043956043 | |||
1002.1978021978022 | 1002.1978021978022 | ||
| Line 396: | Line 389: | ||
Blues Dorian | Blues Dorian Hexatonic (approximated from [[12edo]]) | ||
303.2967032967033 | 303.2967032967033 | ||
501.0989010989011 | 501.0989010989011 | ||
698.9010989010989 | 698.9010989010989 | ||
| Line 413: | Line 404: | ||
Blues | Blues Dorian Pentatonic (approximated from [[12edo]]) | ||
303.2967032967033 | 303.2967032967033 | ||
698.9010989010989 | |||
896.7032967032967 | |||
1002.1978021978022 | |||
1200.000 | 1200.000 | ||
Blues Harmonic | Blues Harmonic Hexatonic (approximated from [[12edo]]) | ||
197.80219780219778 | |||
303.2967032967033 | 303.2967032967033 | ||
501.0989010989011 | 501.0989010989011 | ||
698.9010989010989 | 698.9010989010989 | ||
1094.5054945054944 | 1094.5054945054944 | ||
| Line 445: | Line 432: | ||
Blues Leading | Blues Leading (approximated from [[12edo]]) | ||
303.2967032967033 | 303.2967032967033 | ||
| Line 462: | Line 449: | ||
Blues Minor | Blues Minor (approximated from [[12edo]]) | ||
303.2967032967033 | 303.2967032967033 | ||
| Line 477: | Line 464: | ||
Blues Pentachordal (approximated from [[12edo]]) | |||
Blues Pentachordal | |||
197.80219780219778 | 197.80219780219778 | ||
| Line 507: | Line 479: | ||
==== Other scales ==== | ==== Other scales ==== | ||
Augmented | Augmented (approximated from [[12edo]]) | ||
303.2967032967033 | 303.2967032967033 | ||
| Line 522: | Line 494: | ||
Dominant Pentatonic | Dominant Pentatonic (approximated from [[12edo]]) | ||
197.80219780219778 | 197.80219780219778 | ||
| Line 535: | Line 507: | ||
Double Harmonic | Double Harmonic (approximated from [[12edo]]) | ||
92.3076923076923 | 92.3076923076923 | ||
| Line 552: | Line 524: | ||
Hirajoshi | Hirajoshi (approximated from [[12edo]]) | ||
197.80219780219778 | 197.80219780219778 | ||
| Line 565: | Line 537: | ||
Javanese Pentachordal | Javanese Pentachordal (approximated from [[12edo]]) | ||
105.49450549450549 | 105.49450549450549 | ||
| Line 578: | Line 550: | ||
Akebono I (approximated from [[12edo]]) | |||
197.80219780219778 | 197.80219780219778 | ||
| Line 591: | Line 563: | ||
Cosmic | Cosmic (approximated from [[32afdo]]) | ||
501.0989010989011 | 501.0989010989011 | ||
| Line 603: | Line 575: | ||
1200.000 | 1200.000 | ||
=== [[Absurdity]] === | Sharpened Cosmic (approximated from [[Compton]] in [[96edo]]) | ||
501.0989010989011 | |||
698.9010989010989 | |||
804.3956043956043 | |||
1015.3846153846154 | |||
1200.000 | |||
=== [[Tritonic]][31] === | |||
=== [[Absurdity]][42] === | |||
Palace (approximated from [[Porky]] in [[29edo]]) | |||
158.24175824175825 | |||
316.4835164835165 | |||
501.0989010989011 | |||
698.9010989010989 | |||
857.1428571428571 | |||
1015.3846153846154 | |||
1200.000 | |||
== Other scales == | == Other scales == | ||
Spectral Cosmic (approximated from [[32afdo]]) | |||
* 514.2857142857142 | |||
* 698.9010989010989 | |||
* 804.3956043956043 | |||
* 1002.1978021978022 | |||
* 1200. | |||
== See also == | == See also == | ||
* [[5- to | * [[Meantone]] | ||
* [[5- to | ** [[1/7-comma meantone]] | ||
* [[ | ** [[Domineering]] | ||
* [[Fractional-octave temperaments]] | |||
** [[5- to 10-tone scales in 60edo]] | |||
** [[5- to 10-tone scales in 72edo]] | |||
** [[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]] | ||