Xenharmonic Wiki

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

← Older edit
VisualWikitext
BudjarnLambeth (talk | contribs)
autopatrolled, emailconfirmed
18,768 edits
Reworked the title and introductory text of the Meantone subsection, and added the Cosmic scale (which I discovered just now while messing about in Scale Workshop)
BudjarnLambeth (talk | contribs)
autopatrolled, emailconfirmed
18,768 edits
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
 
(42 intermediate revisions by 2 users not shown)
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]].


== [[Regular temperament]] subsets ==
== Subsets of [[MOS scale]]s ==


=== [[Sfourth]] ===
=== [[Sfourth]][46] ===


=== [[Quartkeenlig]] ===
Palace (approximated from [[Porky]] in [[29edo]])


=== [[Swetneus]] ===
158.24175824175825


=== [[Semaphore]] ===
316.4835164835165


=== [[Septimin]] ===
501.0989010989011
 
698.9010989010989


=== [[Catakleismic]] ===
857.1428571428571


=== [[Supermajor]] ===
1015.3846153846154


=== [[Semidimfourth]] ===
1200.000


=== [[Meantone]] ===
=== [[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 [[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.
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
Major (approximated from [[12edo]])


197.80219780219778
197.80219780219778
Line 42: Line 52:




Major Pentatonic
Major Pentatonic (approximated from [[12edo]])


197.80219780219778
197.80219780219778
Line 55: Line 65:




Ionian Pentatonic
 
Ionian Pentatonic (approximated from [[12edo]])


395.60439560439556
395.60439560439556
Line 68: Line 79:


==== Minor scales ====
==== Minor scales ====
Minor
Minor (approximated from [[12edo]])


197.80219780219778
197.80219780219778
Line 85: Line 96:




Minor Harmonic
Minor Harmonic (approximated from [[12edo]])


197.80219780219778
197.80219780219778
Line 102: Line 113:




Minor Hexatonic
Minor Hexatonic (approximated from [[12edo]])


197.80219780219778
197.80219780219778
Line 117: Line 128:




Minor Melodic
Minor Melodic (approximated from [[12edo]])


197.80219780219778
197.80219780219778
Line 134: Line 145:




Minor Pentatonic
Minor Pentatonic (approximated from [[12edo]])


303.2967032967033
303.2967032967033
Line 147: Line 158:


==== Modal scales ====
==== Modal scales ====
Dorian
Dorian (approximated from [[12edo]])


197.80219780219778
197.80219780219778
Line 164: Line 175:




Dorian Harmonic
Dorian Harmonic (approximated from [[12edo]])


197.80219780219778
197.80219780219778
Line 181: Line 192:




Mixolydian
Mixolydian (approximated from [[12edo]])


197.80219780219778
197.80219780219778
Line 198: Line 209:




Mixolydian Pentatonic
Mixolydian Pentatonic (approximated from [[12edo]])


395.60439560439556
395.60439560439556
Line 211: Line 222:




Phrygian
Phrygian (approximated from [[12edo]])


105.49450549450549
105.49450549450549
Line 228: Line 239:




Phrygian Dominant
Phrygian Dominant (approximated from [[12edo]])


105.49450549450549
105.49450549450549
Line 245: Line 256:




Phrygian Dominant Hexatonic
Phrygian Dominant Hexatonic (approximated from [[12edo]])


105.49450549450549
105.49450549450549
Line 260: Line 271:




Phrygian Dominant Pentatonic
Phrygian Dominant Pentatonic (approximated from [[12edo]])


395.60439560439556
395.60439560439556
Line 273: Line 284:




Phrygian Pentatonic
Phrygian Pentatonic (approximated from [[12edo]])


105.49450549450549
105.49450549450549
Line 286: Line 297:


==== Blues scales ====
==== Blues scales ====
Blues Aeolian Hexatonic
[[Lost spirit]] (approximated from [[Meantone]] in [[31edo]])


303.2967032967033
303.2967032967033
Line 292: Line 303:
501.0989010989011
501.0989010989011


606.5934065934066
619.7802197802198


698.9010989010989
698.9010989010989


804.3956043956043
923.076923076923
 
1002.1978021978022


1200.000
1200.000




Blues Aeolian Pentatonic I
Greyed Skies (this is the original/default tuning)


303.2967032967033
316.4835164835165


501.0989010989011
501.0989010989011


698.9010989010989
593.4065934065934
 
804.3956043956043
 
1200.000
 
 
Blues Aeolian Pentatonic II
 
303.2967032967033


698.9010989010989
698.9010989010989


804.3956043956043
791.2087912087911


1002.1978021978022
1107.6923076923076


1200.000
1200.000




Blues Bright Double Harmonic
[[Blackened skies]] (approximated from [[Compton]] in [[72edo]])


105.49450549450549
329.67032967032964


395.60439560439556
501.0989010989011


501.0989010989011
580.2197802197802


698.9010989010989
698.9010989010989


804.3956043956043
778.0219780219779


1002.1978021978022
1120.8791208791208
 
1107.6923076923076


1200.000
1200.000




Blues Dark Double Harmonic
Blues Aeolian Hexatonic (approximated from [[12edo]])
 
197.80219780219778


303.2967032967033
303.2967032967033
Line 359: Line 359:


804.3956043956043
804.3956043956043
1094.5054945054944


1200.000
1200.000




Blues Dorian Hexatonic
Blues Aeolian Pentatonic I (approximated from [[12edo]])


303.2967032967033
303.2967032967033
Line 373: Line 371:
698.9010989010989
698.9010989010989


896.7032967032967
804.3956043956043
 
1002.1978021978022


1200.000
1200.000




Blues Dorian Pentatonic
Blues Aeolian Pentatonic II (approximated from [[12edo]])


303.2967032967033
303.2967032967033
Line 386: Line 382:
698.9010989010989
698.9010989010989


896.7032967032967
804.3956043956043


1002.1978021978022
1002.1978021978022
Line 393: Line 389:




Blues Dorian Septatonic
Blues Dorian Hexatonic (approximated from [[12edo]])


303.2967032967033
303.2967032967033


501.0989010989011
501.0989010989011
606.5934065934066


698.9010989010989
698.9010989010989
Line 410: Line 404:




Blues Harmonic Hexatonic
Blues Dorian Pentatonic (approximated from [[12edo]])
 
197.80219780219778


303.2967032967033
303.2967032967033


501.0989010989011
698.9010989010989


698.9010989010989
896.7032967032967


1094.5054945054944
1002.1978021978022


1200.000
1200.000




Blues Harmonic Septatonic
Blues Harmonic Hexatonic (approximated from [[12edo]])
 
197.80219780219778


303.2967032967033
303.2967032967033


501.0989010989011
501.0989010989011
606.5934065934066


698.9010989010989
698.9010989010989
804.3956043956043


1094.5054945054944
1094.5054945054944
Line 442: Line 432:




Blues Leading
Blues Leading (approximated from [[12edo]])


303.2967032967033
303.2967032967033
Line 459: Line 449:




Blues Minor
Blues Minor (approximated from [[12edo]])


303.2967032967033
303.2967032967033
Line 474: Line 464:




Blues Minor Maj7
Blues Pentachordal (approximated from [[12edo]])
 
303.2967032967033
 
501.0989010989011
 
606.5934065934066
 
698.9010989010989
 
1094.5054945054944
 
1200.000
 
 
Blues Pentachordal


197.80219780219778
197.80219780219778
Line 504: Line 479:


==== Other scales ====
==== Other scales ====
Augmented
Augmented (approximated from [[12edo]])


303.2967032967033
303.2967032967033
Line 519: Line 494:




Dominant Pentatonic
Dominant Pentatonic (approximated from [[12edo]])


197.80219780219778
197.80219780219778
Line 532: Line 507:




Double Harmonic
Double Harmonic (approximated from [[12edo]])


92.3076923076923
92.3076923076923
Line 549: Line 524:




Hirajoshi
Hirajoshi (approximated from [[12edo]])


197.80219780219778
197.80219780219778
Line 562: Line 537:




Javanese Pentachordal
Javanese Pentachordal (approximated from [[12edo]])


105.49450549450549
105.49450549450549
Line 575: Line 550:




Kokin-Joshi
Akebono I (approximated from [[12edo]])


197.80219780219778
197.80219780219778
Line 588: Line 563:




Cosmic
Cosmic (approximated from [[32afdo]])


501.0989010989011
501.0989010989011
Line 600: Line 575:
1200.000
1200.000


=== [[Tritonic]] ===


=== [[Absurdity]] ===
Sharpened Cosmic (approximated from [[Compton]] in [[96edo]])
 
501.0989010989011


=== [[Trideci]]/[[Aluminium]] ===
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 ==
* [[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]]
Retrieved from "https://en.xen.wiki/w/User:BudjarnLambeth/5-_to_10-tone_scales_in_91edo"