@@ Line 1: / Line 1: @@
-This article lists some 5- to 8-note scales in [[91edo]]. The tuning of each scale degree is given in [[cents]]. Scales in this list with similar names often share some notes in common and may sound concordant together.
+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 ==
-== [[Regular temperament]] subsets ==
+=== [[Sfourth]][46] ===
-=== [[Sfourth]] ===
+Palace (approximated from [[Porky]] in [[29edo]])
-=== [[Quartkeenlig]] ===
+.24175824175825
-=== [[Swetneus]] ===
+.4835164835165
-=== [[Semaphore]] ===
+.0989010989011
-=== [[Septimin]] ===
+.9010989010989
-=== [[Catakleismic]] ===
+.1428571428571
-=== [[Supermajor]] ===
+.3846153846154
-=== [[Semidimfourth]] ===
+.000
-=== [[Lalagu]] (12 & 79) ===
+=== [[Semaphore]][43] ===
-Lalagu (12 & 79) is extremely close to [[1/7-comma meantone]]. See [[meantone]].
+=== [[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
+Major (approximated from [[12edo]])
 .80219780219778
@@ Line 41: / Line 52: @@
-Major Pentatonic
+Major Pentatonic (approximated from [[12edo]])
 .80219780219778
@@ Line 54: / Line 65: @@
-Ionian Pentatonic
+Ionian Pentatonic (approximated from [[12edo]])
 .60439560439556
@@ Line 67: / Line 79: @@
 ==== Minor scales ====
-Minor
+Minor (approximated from [[12edo]])
 .80219780219778
@@ Line 84: / Line 96: @@
-Minor Harmonic
+Minor Harmonic (approximated from [[12edo]])
 .80219780219778
@@ Line 101: / Line 113: @@
-Minor Hexatonic
+Minor Hexatonic (approximated from [[12edo]])
 .80219780219778
@@ Line 116: / Line 128: @@
-Minor Melodic
+Minor Melodic (approximated from [[12edo]])
 .80219780219778
@@ Line 133: / Line 145: @@
-Minor Pentatonic
+Minor Pentatonic (approximated from [[12edo]])
 .2967032967033
@@ Line 146: / Line 158: @@
 ==== Modal scales ====
-Dorian
+Dorian (approximated from [[12edo]])
 .80219780219778
@@ Line 163: / Line 175: @@
-Dorian Harmonic
+Dorian Harmonic (approximated from [[12edo]])
 .80219780219778
@@ Line 180: / Line 192: @@
-Mixolydian Pentatonic
+Mixolydian (approximated from [[12edo]])
+.80219780219778
 .60439560439556
@@ Line 187: / Line 201: @@
 .9010989010989
+.7032967032967
 .1978021978022
@@ Line 193: / Line 209: @@
-Phrygian
+Mixolydian Pentatonic (approximated from [[12edo]])
+.60439560439556
+.0989010989011
+.9010989010989
+.1978021978022
+.000
+Phrygian (approximated from [[12edo]])
 .49450549450549
@@ Line 210: / Line 239: @@
-Phrygian Dominant
+Phrygian Dominant (approximated from [[12edo]])
 .49450549450549
@@ Line 227: / Line 256: @@
-Phrygian Dominant Hexatonic
+Phrygian Dominant Hexatonic (approximated from [[12edo]])
 .49450549450549
@@ Line 242: / Line 271: @@
-Phrygian Dominant Pentatonic
+Phrygian Dominant Pentatonic (approximated from [[12edo]])
 .60439560439556
@@ Line 255: / Line 284: @@
-Phrygian Pentatonic
+Phrygian Pentatonic (approximated from [[12edo]])
 .49450549450549
@@ Line 268: / Line 297: @@
 ==== Blues scales ====
-Blues Aeolian Hexatonic
+[[Lost spirit]] (approximated from [[Meantone]] in [[31edo]])
 .2967032967033
@@ Line 274: / Line 303: @@
 .0989010989011
-.5934065934066
+.7802197802198
 .9010989010989
-.3956043956043
+.076923076923
+.1978021978022
 .000
-Blues Aeolian Pentatonic I
+Greyed Skies (this is the original/default tuning)
-.2967032967033
+.4835164835165
 .0989010989011
-.9010989010989
+.4065934065934
-.3956043956043
-.000
-Blues Aeolian Pentatonic II
-.2967032967033
 .9010989010989
-.3956043956043
+.2087912087911
-.1978021978022
+.6923076923076
 .000
-Blues Bright Double Harmonic
+[[Blackened skies]] (approximated from [[Compton]] in [[72edo]])
-.49450549450549
-.60439560439556
+.67032967032964
 .0989010989011
+.2197802197802
 .9010989010989
-.3956043956043
+.0219780219779
-.1978021978022
-.6923076923076
+.8791208791208
 .000
-Blues Dark Double Harmonic
+Blues Aeolian Hexatonic (approximated from [[12edo]])
-.80219780219778
 .2967032967033
@@ Line 341: / Line 359: @@
 .3956043956043
-.5054945054944
 .000
-Blues Dorian Hexatonic
+Blues Aeolian Pentatonic I (approximated from [[12edo]])
 .2967032967033
@@ Line 355: / Line 371: @@
 .9010989010989
-.7032967032967
+.3956043956043
-.1978021978022
 .000
-Blues Dorian Pentatonic
+Blues Aeolian Pentatonic II (approximated from [[12edo]])
 .2967032967033
@@ Line 368: / Line 382: @@
 .9010989010989
-.7032967032967
+.3956043956043
 .1978021978022
@@ Line 375: / Line 389: @@
-Blues Dorian Septatonic
+Blues Dorian Hexatonic (approximated from [[12edo]])
 .2967032967033
 .0989010989011
-.5934065934066
 .9010989010989
@@ Line 392: / Line 404: @@
-Blues Harmonic Hexatonic
+Blues Dorian Pentatonic (approximated from [[12edo]])
-.80219780219778
 .2967032967033
-.0989010989011
+.9010989010989
-.9010989010989
+.7032967032967
-.5054945054944
+.1978021978022
 .000
-Blues Harmonic Septatonic
+Blues Harmonic Hexatonic (approximated from [[12edo]])
+.80219780219778
 .2967032967033
 .0989010989011
-.5934065934066
 .9010989010989
-.3956043956043
 .5054945054944
@@ Line 424: / Line 432: @@
-Blues Leading
+Blues Leading (approximated from [[12edo]])
 .2967032967033
@@ Line 441: / Line 449: @@
-Blues Minor
+Blues Minor (approximated from [[12edo]])
 .2967032967033
@@ Line 456: / Line 464: @@
-Blues Minor Maj7
+Blues Pentachordal (approximated from [[12edo]])
-.2967032967033
-.0989010989011
-.5934065934066
-.9010989010989
-.5054945054944
-.000
-Blues Pentachordal
 .80219780219778
@@ Line 486: / Line 479: @@
 ==== Other scales ====
-Augmented
+Augmented (approximated from [[12edo]])
 .2967032967033
@@ Line 501: / Line 494: @@
-Dominant Pentatonic
+Dominant Pentatonic (approximated from [[12edo]])
 .80219780219778
@@ Line 514: / Line 507: @@
-Double Harmonic
+Double Harmonic (approximated from [[12edo]])
 .3076923076923
@@ Line 531: / Line 524: @@
-Hirajoshi
+Hirajoshi (approximated from [[12edo]])
 .80219780219778
@@ Line 544: / Line 537: @@
-Javanese Pentachordal
+Javanese Pentachordal (approximated from [[12edo]])
 .49450549450549
@@ Line 557: / Line 550: @@
-Kokin-Joshi
+Akebono I (approximated from [[12edo]])
 .80219780219778
@@ Line 569: / Line 562: @@
 .000
-=== [[Tritonic]] ===
-=== [[Absurdity]] ===
+Cosmic (approximated from [[32afdo]])
+.0989010989011
+.9010989010989
+.3956043956043
+.1978021978022
+.000
+Sharpened Cosmic (approximated from [[Compton]] in [[96edo]])
+.0989010989011
+.9010989010989
+.3956043956043
+.3846153846154
+.000
+=== [[Tritonic]][31] ===
+=== [[Absurdity]][42] ===
+Palace (approximated from [[Porky]] in [[29edo]])
+.24175824175825
+.4835164835165
+.0989010989011
+.9010989010989
+.1428571428571
+.3846153846154
-=== [[Trideci]]/[[Aluminium]] ===
+.000
 == 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:Lists of scales]]

User:BudjarnLambeth/5- to 10-tone scales in 91edo: Difference between revisions