User:BudjarnLambeth/5- to 10-tone scales in 91edo: Difference between revisions
m Categorised this uncategorised page |
m BudjarnLambeth moved page 5- to 10-tone scales in 91edo to User:BudjarnLambeth/5- to 10-tone scales in 91edo: Quality is not yet up to main space standards |
||
(53 intermediate revisions by 2 users not shown) | |||
Line 1: | Line 1: | ||
This article lists some 5- to | 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]][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. | |||
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]]. | |||
==== Major scales ==== | ==== Major scales ==== | ||
Major (approximated from [[12edo]]) | |||
197.80219780219778 | 197.80219780219778 | ||
395.60439560439556 | 395.60439560439556 | ||
501.0989010989011 | 501.0989010989011 | ||
698.9010989010989 | 698.9010989010989 | ||
896.7032967032967 | 896.7032967032967 | ||
1094.5054945054944 | 1094.5054945054944 | ||
1200.000 | 1200.000 | ||
Major Pentatonic | |||
Major Pentatonic (approximated from [[12edo]]) | |||
197.80219780219778 | 197.80219780219778 | ||
395.60439560439556 | 395.60439560439556 | ||
698.9010989010989 | 698.9010989010989 | ||
896.7032967032967 | 896.7032967032967 | ||
1200.000 | 1200.000 | ||
Ionian Pentatonic | |||
Ionian Pentatonic (approximated from [[12edo]]) | |||
395.60439560439556 | 395.60439560439556 | ||
501.0989010989011 | 501.0989010989011 | ||
698.9010989010989 | 698.9010989010989 | ||
1094.5054945054944 | 1094.5054945054944 | ||
1200.000 | 1200.000 | ||
==== Minor scales ==== | ==== Minor scales ==== | ||
Minor (approximated from [[12edo]]) | |||
197.80219780219778 | 197.80219780219778 | ||
303.2967032967033 | 303.2967032967033 | ||
501.0989010989011 | 501.0989010989011 | ||
698.9010989010989 | 698.9010989010989 | ||
804.3956043956043 | 804.3956043956043 | ||
1002.1978021978022 | 1002.1978021978022 | ||
1200.000 | 1200.000 | ||
Minor Harmonic | |||
Minor Harmonic (approximated from [[12edo]]) | |||
197.80219780219778 | 197.80219780219778 | ||
303.2967032967033 | 303.2967032967033 | ||
501.0989010989011 | 501.0989010989011 | ||
698.9010989010989 | 698.9010989010989 | ||
804.3956043956043 | 804.3956043956043 | ||
1094.5054945054944 | 1094.5054945054944 | ||
1200.000 | 1200.000 | ||
Minor Hexatonic | |||
Minor Hexatonic (approximated from [[12edo]]) | |||
197.80219780219778 | 197.80219780219778 | ||
303.2967032967033 | 303.2967032967033 | ||
501.0989010989011 | 501.0989010989011 | ||
698.9010989010989 | 698.9010989010989 | ||
1002.1978021978022 | 1002.1978021978022 | ||
1200.000 | 1200.000 | ||
Minor Melodic | |||
Minor Melodic (approximated from [[12edo]]) | |||
197.80219780219778 | 197.80219780219778 | ||
303.2967032967033 | 303.2967032967033 | ||
501.0989010989011 | 501.0989010989011 | ||
698.9010989010989 | 698.9010989010989 | ||
896.7032967032967 | 896.7032967032967 | ||
1094.5054945054944 | 1094.5054945054944 | ||
1200.000 | 1200.000 | ||
Minor Pentatonic | |||
Minor Pentatonic (approximated from [[12edo]]) | |||
303.2967032967033 | 303.2967032967033 | ||
501.0989010989011 | 501.0989010989011 | ||
698.9010989010989 | 698.9010989010989 | ||
1002.1978021978022 | 1002.1978021978022 | ||
1200.000 | 1200.000 | ||
==== Modal scales ==== | ==== Modal scales ==== | ||
Dorian (approximated from [[12edo]]) | |||
197.80219780219778 | 197.80219780219778 | ||
303.2967032967033 | 303.2967032967033 | ||
501.0989010989011 | 501.0989010989011 | ||
698.9010989010989 | 698.9010989010989 | ||
896.7032967032967 | 896.7032967032967 | ||
1002.1978021978022 | 1002.1978021978022 | ||
1200.000 | 1200.000 | ||
Dorian Harmonic | |||
Dorian Harmonic (approximated from [[12edo]]) | |||
197.80219780219778 | 197.80219780219778 | ||
303.2967032967033 | 303.2967032967033 | ||
606.5934065934066 | 606.5934065934066 | ||
698.9010989010989 | 698.9010989010989 | ||
896.7032967032967 | 896.7032967032967 | ||
1002.1978021978022 | 1002.1978021978022 | ||
1200. | 1200. | ||
Mixolydian | |||
Mixolydian (approximated from [[12edo]]) | |||
197.80219780219778 | |||
395.60439560439556 | 395.60439560439556 | ||
501.0989010989011 | 501.0989010989011 | ||
698.9010989010989 | 698.9010989010989 | ||
896.7032967032967 | |||
1002.1978021978022 | 1002.1978021978022 | ||
1200.000 | 1200.000 | ||
Phrygian | |||
Mixolydian Pentatonic (approximated from [[12edo]]) | |||
395.60439560439556 | |||
501.0989010989011 | |||
698.9010989010989 | |||
1002.1978021978022 | |||
1200.000 | |||
Phrygian (approximated from [[12edo]]) | |||
105.49450549450549 | 105.49450549450549 | ||
303.2967032967033 | 303.2967032967033 | ||
501.0989010989011 | 501.0989010989011 | ||
698.9010989010989 | 698.9010989010989 | ||
804.3956043956043 | 804.3956043956043 | ||
1002.1978021978022 | 1002.1978021978022 | ||
1200.000 | 1200.000 | ||
Phrygian Dominant | |||
Phrygian Dominant (approximated from [[12edo]]) | |||
105.49450549450549 | 105.49450549450549 | ||
395.60439560439556 | 395.60439560439556 | ||
501.0989010989011 | 501.0989010989011 | ||
698.9010989010989 | 698.9010989010989 | ||
804.3956043956043 | 804.3956043956043 | ||
1002.1978021978022 | 1002.1978021978022 | ||
1200.000 | 1200.000 | ||
Phrygian Dominant Hexatonic | |||
Phrygian Dominant Hexatonic (approximated from [[12edo]]) | |||
105.49450549450549 | 105.49450549450549 | ||
395.60439560439556 | 395.60439560439556 | ||
501.0989010989011 | 501.0989010989011 | ||
698.9010989010989 | 698.9010989010989 | ||
1002.1978021978022 | 1002.1978021978022 | ||
1200.000 | 1200.000 | ||
Phrygian Dominant Pentatonic | |||
Phrygian Dominant Pentatonic (approximated from [[12edo]]) | |||
395.60439560439556 | 395.60439560439556 | ||
501.0989010989011 | 501.0989010989011 | ||
698.9010989010989 | 698.9010989010989 | ||
804.3956043956043 | 804.3956043956043 | ||
1200.000 | 1200.000 | ||
Phrygian Pentatonic | |||
Phrygian Pentatonic (approximated from [[12edo]]) | |||
105.49450549450549 | 105.49450549450549 | ||
303.2967032967033 | 303.2967032967033 | ||
698.9010989010989 | 698.9010989010989 | ||
804.3956043956043 | 804.3956043956043 | ||
1200.000 | 1200.000 | ||
==== Blues scales ==== | ==== Blues scales ==== | ||
[[Lost spirit]] (approximated from [[Meantone]] in [[31edo]]) | |||
303.2967032967033 | 303.2967032967033 | ||
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 | |||
580.2197802197802 | |||
698.9010989010989 | 698.9010989010989 | ||
778.0219780219779 | |||
1120.8791208791208 | |||
1200.000 | 1200.000 | ||
Blues | |||
Blues Aeolian Hexatonic (approximated from [[12edo]]) | |||
303.2967032967033 | |||
501.0989010989011 | 501.0989010989011 | ||
606.5934065934066 | |||
698.9010989010989 | 698.9010989010989 | ||
804.3956043956043 | 804.3956043956043 | ||
1200.000 | 1200.000 | ||
Blues | |||
Blues Aeolian Pentatonic I (approximated from [[12edo]]) | |||
303.2967032967033 | 303.2967032967033 | ||
501.0989010989011 | 501.0989010989011 | ||
698.9010989010989 | 698.9010989010989 | ||
804.3956043956043 | 804.3956043956043 | ||
1200.000 | 1200.000 | ||
Blues | |||
Blues Aeolian Pentatonic II (approximated from [[12edo]]) | |||
303.2967032967033 | 303.2967032967033 | ||
698.9010989010989 | 698.9010989010989 | ||
804.3956043956043 | |||
1002.1978021978022 | 1002.1978021978022 | ||
1200.000 | 1200.000 | ||
Blues Dorian | |||
Blues Dorian Hexatonic (approximated from [[12edo]]) | |||
303.2967032967033 | 303.2967032967033 | ||
501.0989010989011 | |||
698.9010989010989 | 698.9010989010989 | ||
896.7032967032967 | 896.7032967032967 | ||
1002.1978021978022 | 1002.1978021978022 | ||
1200.000 | 1200.000 | ||
Blues Dorian | |||
Blues Dorian Pentatonic (approximated from [[12edo]]) | |||
303.2967032967033 | 303.2967032967033 | ||
698.9010989010989 | 698.9010989010989 | ||
896.7032967032967 | 896.7032967032967 | ||
1002.1978021978022 | 1002.1978021978022 | ||
1200.000 | 1200.000 | ||
Blues Harmonic Hexatonic | |||
Blues Harmonic Hexatonic (approximated from [[12edo]]) | |||
197.80219780219778 | 197.80219780219778 | ||
303.2967032967033 | 303.2967032967033 | ||
501.0989010989011 | 501.0989010989011 | ||
698.9010989010989 | 698.9010989010989 | ||
1094.5054945054944 | 1094.5054945054944 | ||
1200.000 | 1200.000 | ||
Blues Leading (approximated from [[12edo]]) | |||
Blues Leading | |||
303.2967032967033 | 303.2967032967033 | ||
501.0989010989011 | 501.0989010989011 | ||
606.5934065934066 | 606.5934065934066 | ||
698.9010989010989 | 698.9010989010989 | ||
1002.1978021978022 | 1002.1978021978022 | ||
1107.6923076923076 | 1107.6923076923076 | ||
1200.000 | 1200.000 | ||
Blues Minor | |||
Blues Minor (approximated from [[12edo]]) | |||
303.2967032967033 | 303.2967032967033 | ||
501.0989010989011 | 501.0989010989011 | ||
606.5934065934066 | 606.5934065934066 | ||
698.9010989010989 | 698.9010989010989 | ||
1002.1978021978022 | 1002.1978021978022 | ||
1200.000 | 1200.000 | ||
Blues Pentachordal (approximated from [[12edo]]) | |||
Blues Pentachordal | |||
197.80219780219778 | 197.80219780219778 | ||
303.2967032967033 | 303.2967032967033 | ||
501.0989010989011 | 501.0989010989011 | ||
593.4065934065934 | 593.4065934065934 | ||
698.9010989010989 | 698.9010989010989 | ||
1200.000 | 1200.000 | ||
==== Other scales ==== | ==== Other scales ==== | ||
Augmented (approximated from [[12edo]]) | |||
303.2967032967033 | 303.2967032967033 | ||
408.79120879120876 | 408.79120879120876 | ||
698.9010989010989 | 698.9010989010989 | ||
804.3956043956043 | 804.3956043956043 | ||
1094.5054945054944 | 1094.5054945054944 | ||
1200.000 | 1200.000 | ||
Dominant Pentatonic | |||
Dominant Pentatonic (approximated from [[12edo]]) | |||
197.80219780219778 | 197.80219780219778 | ||
395.60439560439556 | 395.60439560439556 | ||
698.9010989010989 | 698.9010989010989 | ||
1002.1978021978022 | 1002.1978021978022 | ||
1200.000 | 1200.000 | ||
Double Harmonic | |||
Double Harmonic (approximated from [[12edo]]) | |||
92.3076923076923 | 92.3076923076923 | ||
408.79120879120876 | 408.79120879120876 | ||
501.0989010989011 | 501.0989010989011 | ||
698.9010989010989 | 698.9010989010989 | ||
791.2087912087911 | 791.2087912087911 | ||
1107.6923076923076 | 1107.6923076923076 | ||
1200.000 | |||
1200.000 | |||
Hirajoshi | |||
Hirajoshi (approximated from [[12edo]]) | |||
197.80219780219778 | 197.80219780219778 | ||
303.2967032967033 | 303.2967032967033 | ||
698.9010989010989 | 698.9010989010989 | ||
804.3956043956043 | 804.3956043956043 | ||
1200.000 | 1200.000 | ||
Javanese Pentachordal | |||
Javanese Pentachordal (approximated from [[12edo]]) | |||
105.49450549450549 | 105.49450549450549 | ||
303.2967032967033 | 303.2967032967033 | ||
606.5934065934066 | 606.5934065934066 | ||
698.9010989010989 | 698.9010989010989 | ||
1200.000 | 1200.000 | ||
Akebono I (approximated from [[12edo]]) | |||
197.80219780219778 | 197.80219780219778 | ||
303.2967032967033 | 303.2967032967033 | ||
698.9010989010989 | 698.9010989010989 | ||
896.7032967032967 | 896.7032967032967 | ||
1200.000 | |||
Cosmic (approximated from [[32afdo]]) | |||
501.0989010989011 | |||
698.9010989010989 | |||
804.3956043956043 | |||
1002.1978021978022 | |||
1200.000 | |||
Sharpened Cosmic (approximated from [[Compton]] in [[96edo]]) | |||
501.0989010989011 | |||
698.9010989010989 | |||
804.3956043956043 | |||
1015.3846153846154 | |||
1200.000 | 1200.000 | ||
=== [[Tritonic]] === | === [[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 == | |||
* [[Meantone]] | |||
** [[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]] | ||
[[Category:Lists of scales]] | [[Category:Lists of scales]] | ||
[[Category:5-tone scales]] | |||
[[Category:6-tone scales]] | |||
[[Category:7-tone scales]] | |||
[[Category:8-tone scales]] |