User:BudjarnLambeth/5- to 10-tone scales in 84edo: Difference between revisions

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[[84edo]] is a tuning which supports many [[fractional-octave temperaments]]. It is a good no-11s tuning all the way up to the [[31-limit]].
[[84edo]] is a tuning which supports many [[fractional-octave temperaments]]. It is a good no-11s, or dual-11, tuning all the way up to the [[31-limit]].
 
This article lists some 5- to 10-note scales in 84edo. The tuning of each scale degree is given in [[cents]].
 
==Subsets of [[MOS scales]]==
==Subsets of [[MOS scales]]==
===[[Orwell]][31] / [[Newspeak]][31]===
===[[Orwell]][31] / [[Newspeak]][31]===
===[[Dodifo]][37]===
===[[Sensei]][27]===
===[[Merman]][23]===
===[[Narayana]][34]===
===[[Bison]][38]===
===[[Secant]][32]===
===[[Nessafof]][39]===
===[[Absurdity]][42] (includes [[7edo]])===
===[[Compton]][36] (includes [[12edo]])===


==== Major scales ====
[[Antipental blues]] (approximated from [[Dwarf17marv]])
Ionian Pentatonic


400.000
271.429


500.000
500.000
542.857


700.000
700.000


1100.000
971.429


1200.000
1200.000




Major
[[Spectral blues]] (approximated from [[Dwarf17marv]])


200.000
271.429


400.000
500.000


500.000
542.857


700.000
700.000


900.000
885.714


1100.000
971.429


1200.000
1200.000


===[[Dodifo]][37]===
===[[Sensei]][27]===
===[[Merman]][23]===
===[[Narayana]][34]===


Major Pentatonic
===[[Bison]][38]===
 
200.000


400.000
Palace (approximated from [[Porky]] in [[29edo]])


700.000
157.143


900.000
314.286
 
1200.000
 
====Minor scales====
Minor
 
200.000
 
300.000


500.000
500.000
Line 66: Line 54:
700.000
700.000


800.000
857.143


1000.000
1014.286


1200.000
1200.000


===[[Secant]][38]===
===[[Nessafof]][39]===
===[[Absurdity]][42] (includes [[7edo]])===


Minor Harmonic
Palace (approximated from [[Porky]] in [[29edo]])


200.000
157.143


300.000
314.286


500.000
500.000
Line 83: Line 75:
700.000
700.000


800.000
857.143


1100.000
1014.286


1200.000
1200.000


===[[Compton]][48] (includes [[12edo]])===


Minor Harmonic Pentatonic I
====Major scales====
Ionian Pentatonic (exact tuning from [[12edo]])


200.000
400.000


300.000
500.000


700.000
700.000
Line 103: Line 97:




Minor Harmonic Pentatonic II
Flattened Ionian Pentatonic (approximated from [[Compton]] in [[96edo]])


300.000
385.714


500.000
500.000
Line 111: Line 105:
700.000
700.000


1100.000
1085.714


1200.000
1200.000




Minor Hexatonic
Major (exact tuning from [[12edo]])


200.000
200.000


300.000
400.000


500.000
500.000
Line 126: Line 120:
700.000
700.000


1000.000
900.000
 
1100.000


1200.000
1200.000




Minor Melodic
Flattened Major (approximated from [[Compton]] in [[96edo]])


200.000
200.000


300.000
385.714


500.000
500.000
Line 141: Line 137:
700.000
700.000


900.000
885.714


1100.000
1085.714


1200.000
1200.000




Minor Pentatonic
Major Pentatonic (exact tuning from [[12edo]])


300.000
200.000


500.000
400.000


700.000
700.000


1000.000
900.000


1200.000
1200.000
====Modal scales====




Dorian
Flattened Major Pentatonic (approximated from [[Compton]] in [[96edo]])


200.000
185.714


300.000
385.714
 
500.000


700.000
700.000


900.000
885.714
 
1000.000


1200.000
1200.000


 
====Minor scales====
Dorian Harmonic
Minor (exact tuning from [[12edo]])


200.000
200.000
Line 185: Line 176:
300.000
300.000


600.000
500.000


700.000
700.000


900.000
800.000


1000.000
1000.000
Line 196: Line 187:




Mixolydian Pentatonic
Sharpened Minor (approximated from [[Compton]] in [[96edo]])
 
200.000


400.000
314.286


500.000
500.000
Line 204: Line 197:
700.000
700.000


1000.000
814.286
 
1014.286


1200.000
1200.000




Phrygian
Minor Harmonic (exact tuning from [[12edo]])


100.000
200.000


300.000
300.000
Line 221: Line 216:
800.000
800.000


1000.000
1100.000


1200.000
1200.000




Phrygian Dominant
Sharpened Minor Harmonic (approximated from [[Compton]] in [[96edo]])


100.000
214.286


400.000
314.286


500.000
514.286


700.000
714.286


800.000
814.286


1000.000
1114.286


1200.000
1200.000




Phrygian Dominant Hexatonic
Minor Harmonic Pentatonic I (exact tuning from [[12edo]])


100.000
200.000


400.000
300.000
 
500.000


700.000
700.000


1000.000
1100.000


1200.000
1200.000




Phrygian Dominant Pentatonic
Sharpened Minor Harmonic Pentatonic I (approximated from [[Compton]] in [[96edo]])


400.000
214.286


500.000
314.286


700.000
714.286


800.000
1114.286


1200.000
1200.000




Phrygian Pentatonic
Minor Harmonic Pentatonic II (exact tuning from [[12edo]])


100.000
300.000


300.000
500.000


700.000
700.000


800.000
1100.000


1200.000
1200.000


====Blues scales====
Blues Aeolian Hexatonic


300.000
Sharpened Minor Harmonic Pentatonic II (approximated from [[Compton]] in [[96edo]])


500.000
314.286


600.000
514.286


700.000
714.286


800.000
1114.286


1200.000
1200.000




Blues Aeolian Pentatonic I
Minor Hexatonic (exact tuning from [[12edo]])
 
200.000


300.000
300.000
Line 307: Line 300:
700.000
700.000


800.000
1000.000


1200.000
1200.000




Blues Aeolian Pentatonic II
Evened Minor Hexatonic (approximated from [[Compton]] in [[96edo]])
 
185.714
 
314.286


300.000
500.000


700.000
700.000


800.000
985.714
 
1000.000


1200.000
1200.000




Blues Bright Double Harmonic
Minor Melodic (exact tuning from [[12edo]])


100.000
200.000


400.000
300.000


500.000
500.000
Line 335: Line 330:
700.000
700.000


800.000
900.000
 
1000.000


1100.000
1100.000
Line 344: Line 337:




Blues Dark Double Harmonic
Minor Pentatonic (exact tuning from [[12edo]])
 
200.000


300.000
300.000


500.000
500.000
600.000


700.000
700.000


800.000
1000.000
 
1100.000


1200.000
1200.000




Blues Dorian Hexatonic
Sharpened Minor Pentatonic (approximated from [[Compton]] in [[96edo]])


300.000
314.286


500.000
500.000
Line 371: Line 358:
700.000
700.000


900.000
1014.286
 
1200.000


1000.000
====Modal scales====


1200.000


Dorian (exact tuning from [[12edo]])


Blues Dorian Pentatonic
200.000


300.000
300.000
500.000


700.000
700.000
Line 391: Line 382:




Blues Dorian Septatonic
Sharpened Dorian (approximated from [[Compton]] in [[96edo]])


300.000
214.286


500.000
314.286


600.000
514.286


700.000
714.286


900.000
914.286


1000.000
1014.286


1200.000
1200.000




Blues Harmonic Hexatonic
Dorian Harmonic (exact tuning from [[12edo]])


200.000
200.000
Line 414: Line 405:
300.000
300.000


500.000
600.000


700.000
700.000


1100.000
900.000
 
1000.000


1200.000
1200.000




Blues Harmonic Septatonic
Sharpened Dorian Harmonic (approximated from [[Compton]] in [[96edo]])


300.000
214.286


500.000
314.286


600.000
614.286


700.000
714.286


800.000
914.286


1100.000
1014.286


1200.000
1200.000




Blues Leading
Mixolydian Pentatonic (exact tuning from [[12edo]])


300.000
400.000


500.000
500.000
600.000


700.000
700.000


1000.000
1000.000
1100.000


1200.000
1200.000




Blues Minor
Evened Mixolydian Pentatonic (approximated from [[Compton]] in [[96edo]])


300.000
385.714


500.000
500.000


600.000
714.286
 
985.714


700.000
1200.000


1000.000


1200.000


Phrygian (exact tuning from [[12edo]])


Blues Minor Maj7
100.000


300.000
300.000
Line 478: Line 468:
500.000
500.000


600.000
700.000


700.000
800.000


1100.000
1000.000


1200.000
1200.000




Blues Pentachordal
Flattened Phrygian (approximated from [[Compton]] in [[96edo]])
 
This one has a phonk-like sound.
 
85.714


200.000
285.714


300.000
485.714


500.000
685.714


600.000
785.714


700.000
985.714


1200.000
1200.000


====Other scales====
Whole Tone


200.000
Phrygian Dominant (exact tuning from [[12edo]])
 
100.000


400.000
400.000


600.000
500.000
 
700.000


800.000
800.000
Line 517: Line 513:




Augmented
Roughened Phrygian Dominant (approximated from [[Compton]] in [[96edo]])


300.000
85.714


400.000
400.000


700.000
485.714
 
685.714


800.000
771.429


1100.000
985.714


1200.000
1200.000




Dominant Pentatonic
Phrygian Dominant Hexatonic (exact tuning from [[12edo]])


200.000
100.000


400.000
400.000
500.000


700.000
700.000
Line 545: Line 545:




Double Harmonic
Evened Phrygian Dominant Hexatonic (approximated from [[Compton]] in [[96edo]])


100.000
114.286


400.000
385.714


500.000
500.000


700.000
714.286


800.000
985.714
 
1100.000


1200.000
1200.000




Hirajoshi
Phrygian Dominant Pentatonic (exact tuning from [[12edo]])


200.000
400.000


300.000
500.000


700.000
700.000
Line 575: Line 573:




Javanese Pentachordal
Phrygian Pentatonic (exact tuning from [[12edo]])


100.000
100.000
Line 581: Line 579:
300.000
300.000


600.000
700.000


700.000
800.000


1200.000
1200.000




Kokin-Joshi
Sharpened Phrygian Pentatonic (approximated from [[Compton]] in [[96edo]])


200.000
100.000


300.000
314.286


700.000
714.286


900.000
814.286


1200.000
1200.000


====Blues scales====
[[Blackened skies]] (approximated from [[Compton]] in [[72edo]])


Cosmic
314.286


500.000
500.000
585.714


700.000
700.000


800.000
785.714


1000.000
1114.286


1200.000
1200.000




Cosmic 2
[[Lost spirit]] (approximated from [[Meantone]] in [[31edo]])


200.000
314.286


300.000
500.000


500.000
585.714


700.000
700.000
928.571
1014.286


1200.000
1200.000


===[[Akjayland]][42] (includes [[21edo]])===
Pelog Pentatonic


114.286
Blues Aeolian Hexatonic (exact tuning from [[12edo]])
 
300.000
 
500.000


285.714
600.000


685.714
700.000


800.000
800.000
Line 639: Line 647:
1200.000
1200.000


===[[Oquatonic]][56] (includes [[28edo]])===


=== Parent MOS scales (for reference) ===
Sharpened Blues Aeolian Hexatonic (approximated from [[Compton]] in [[96edo]])
Each is given in its symmetrical mode, if possible, or, if not, then in the two modes closest to symmetrical.
 
314.286


==== Orwell[31] ====
500.000
14.286


42.857
600.000


57.143
700.000


71.429
800.000


85.714
1200.000


114.286


128.571
Blues Aeolian Pentatonic I (exact tuning from [[12edo]])


157.143
300.000


171.429
500.000


200.
700.000


214.286
800.000


228.571
1200.000


242.857


271.429
Flattened Blues Aeolian Pentatonic I (approximated from [[Compton]] in [[96edo]])


285.714
285.714


314.286
485.714
 
685.714
 
785.714


328.571
1200.000


342.857


357.143
Blues Aeolian Pentatonic II (exact tuning from [[12edo]])


385.714
300.000


400.
700.000


428.571
800.000


442.857
1000.000


471.429
1200.000


485.714


500.
Sharpened Blues Aeolian Pentatonic II (approximated from [[Compton]] in [[96edo]])


514.286
314.286


542.857
714.286


557.143
800.000


585.714
1000.000


600.
1200.000


614.286


628.571
Blues Bright Double Harmonic (exact tuning from [[12edo]])


657.143
100.000


671.429
400.000


700.
500.000


714.286
700.000


728.571
800.000


742.857
1000.000


771.429
1100.000


785.714
1200.000


814.286


828.571
Blues Dark Double Harmonic (exact tuning from [[12edo]])


857.143
200.000


871.429
300.000


885.714
500.000


900.
600.000


928.571
700.000


942.857
800.000


971.429
1100.000


985.714
1200.000


1000.


1014.286
Blues Dorian Hexatonic (exact tuning from [[12edo]])


1042.857
300.000


1057.143
500.000


1085.714
700.000


1100.
900.000


1128.571
1000.000


1142.857
1200.000


1157.143


1171.429
Sharpened Blues Dorian Hexatonic (approximated from [[Compton]] in [[96edo]])


1200.
314.286


==== Dodifo[37] ====
514.286
14.286


28.571
714.286


42.857
900.000


71.429
1014.286


85.714
1200.000


100.


114.286
Blues Dorian Pentatonic (exact tuning from [[12edo]])


128.571
300.000


142.857
700.000


157.143
900.000


171.429
1000.000


200.
1200.000


214.286


228.571
Roughened Blues Dorian Pentatonic (approximated from [[Compton]] in [[96edo]])


242.857
300.000


257.143
700.000


271.429
914.286


285.714
985.714


300.
1200.000


328.571


342.857
Blues Dorian Septatonic (exact tuning from [[12edo]])


357.143
300.000


371.429
500.000


385.714
600.000


400.
700.000


428.571
900.000


442.857
1000.000


457.143
1200.000


471.429


485.714
Roughened Blues Dorian Septatonic (approximated from [[Compton]] in [[96edo]])


500.
300.000


514.286
514.286


528.571
600.000
 
685.714


557.143
914.286


571.429
985.714


585.714
1200.000


600.


614.286
Blues Harmonic Hexatonic (exact tuning from [[12edo]])


628.571
200.000


642.857
300.000


657.143
500.000


685.714
700.000


700.
1100.000


714.286
1200.000


728.571


742.857
Roughened Blues Harmonic Hexatonic (approximated from [[Compton]] in [[96edo]])


757.143
214.286


771.429
285.714


785.714
500.000


814.286
714.286


828.571
1114.286


842.857
1200.000


857.143


871.429
Blues Harmonic Septatonic (exact tuning from [[12edo]])


885.714
300.000


914.286
500.000


928.571
600.000


942.857
700.000


957.143
800.000


971.429
1100.000


985.714
1200.000


1000.


1014.286
Sharpened Blues Harmonic Septatonic (approximated from [[Compton]] in [[96edo]])


1042.857
314.286


1057.143
514.286


1071.429
614.286


1085.714
714.286


1100.
814.286


1114.286
1114.286


1128.571
1200.000


1142.857


1171.429
Blues Leading (exact tuning from [[12edo]])


1185.714
300.000


1200.
500.000


==== Sensei[27] ====
600.000
14.286


57.143
700.000


71.429
1000.000


85.714
1100.000


128.571
1200.000


142.857


185.714
Evened Blues Leading (approximated from [[Compton]] in [[96edo]])


200.
300.000


242.857
485.714


257.143
600.000


271.429
714.286


314.286
971.429


328.571
1085.714


371.429
1200.000


385.714


400.
Blues Minor (exact tuning from [[12edo]])


442.857
300.000


457.143
500.000


500.
600.000


514.286
700.000


528.571
1000.000


571.429
1200.000


585.714


628.571
Evened Blues Minor (approximated from [[Compton]] in [[96edo]])


642.857
300.000


685.714
485.714


700.
600.000


714.286
714.286


757.143
1014.286
 
1200.000


771.429


814.286
Blues Minor Maj7 (exact tuning from [[12edo]])


828.571
300.000


842.857
500.000


885.714
600.000


900.
700.000


942.857
1100.000


957.143
1200.000


971.429


1014.286
Flattened Blues Minor Maj7 (approximated from [[Compton]] in [[96edo]])


1028.571
285.714


1071.429
500.000


1085.714
600.000


1128.571
700.000


1142.857
1100.000


1157.143
1200.000


1200.


==== Merman[23] ====
Blues Pentachordal (exact tuning from [[12edo]])
28.571


57.143
200.000


85.714
300.000


114.286
500.000


142.857
600.000


414.286
700.000


442.857
1200.000


471.429


500.
Sharpened Blues Pentachordal (approximated from [[Compton]] in [[96edo]])


528.571
214.286


557.143
314.286


585.714
514.286


614.286
614.286


642.857
714.286


671.429
1200.000


700.


728.571
====Other scales====
Augmented (exact tuning from [[12edo]])


757.143
300.000


1028.571
400.000


1057.143
700.000


1085.714
800.000


1114.286
1100.000


1142.857
1200.000


1171.429


1200.
Roughened Augmented (approximated from [[Compton]] in [[96edo]])


==== Narayana[34] ====
314.286
14.286


28.571
400.000


42.857
714.286


71.429
800.000


85.714
1114.286


100.
1200.000


114.286


142.857
Cosmic (approximated from [[32afdo]]


157.143
500.000


171.429
700.000


185.714
800.000


214.286
1000.000


228.571
1200.000


242.857


257.143
Roughened Cosmic (approximated from [[Compton]] in [[96edo]])


285.714
485.714


300.
700.000


314.286
770.000


328.571
985.714


357.143
1200.000


371.429


385.714
Cosmic Two (approximated from [[32afdo]], then rotated]]


400.
200.000


428.571
300.000


442.857
500.000


457.143
700.000


471.429
1200.000


500.


514.286
Roughened Cosmic Two (approximated from [[Compton]] in [[96edo]])


528.571
214.286


542.857
285.714


571.429
500.000


585.714
714.286


600.
1200.000


==== Bison[38] ====
14.286


28.571
Compton Deja Vu (approximated from [[101afdo]])


42.857
314.286


57.143
700.000


85.714
814.286


100.
1014.286


114.286
1200.000


128.571


142.857
Dominant Pentatonic (exact tuning from [[12edo]])


157.143
200.000


171.429
400.000


185.714
700.000


200.
1000.000


214.286
1200.000


242.857


257.143
Evened Dominant Pentatonic (approximated from [[Compton]] in [[96edo]])


271.429
214.286


285.714
428.571


300.
700.000


314.286
985.714


328.571
1200.000


342.857


371.429
Double Harmonic (exact tuning from [[12edo]])


385.714
100.000


400.
400.000


414.286
500.000


428.571
700.000


442.857
800.000


457.143
1100.000


471.429
1200.000


485.714


500.
Hirajoshi (exact tuning from [[12edo]])


528.571
200.000


542.857
300.000


557.143
700.000


571.429
800.000


585.714
1200.000


600.


==== Secant[32] ====
Sharpened Hirajoshi (approximated from [[Compton]] in [[96edo]])
14.286


42.857
200.000


57.143
314.286


85.714
700.000


100.
814.286


114.286
1200.000


128.571


142.857
Javanese Pentachordal (exact tuning from [[12edo]])


157.143
100.000


185.714
300.000


200.
600.000


228.571
700.000


242.857
1200.000


271.429


285.714
Roughened Javanese Pentachordal (approximated from [[Compton]] in [[96edo]])


300.
85.714


314.286
300.000


328.571
614.286


342.857
700.000


371.429
1200.000


385.714


414.286
Akebono I (exact tuning from [[12edo]])


428.571
200.000


457.143
300.000


471.429
700.000


485.714
900.000


500.
1200.000


514.286


528.571
Sharpened Akebono I (approximated from [[Compton]] in [[96edo]])


557.143
200.000


571.429
314.286


600.
700.000


==== Nesssafof[39] ====
900.000
42.857


57.143
1200.000


71.429


85.714
Compton Moonbeam (approximated from [[16afdo]])


128.571
200.000


142.857
300.000


157.143
700.000


200.
1085.714


214.286
1200.000


228.571


242.857
Compton Palace (approximated from [[Porky]] in [[29edo]])


285.714
157.143


300.
300.000


314.286
500.000


328.571
700.000


371.429
857.143


385.714
1000.000


400.
1200.000


==== Absurdity[42] ====
14.286


28.571
Compton Underpass (approximated from [[10afdo]])


42.857
314.286


57.143
700.000


142.857
914.286


157.143
1014.286


171.429
1200.000


'''or'''


14.286
Whole Tone (exact tuning from [[6edo]])


28.571
200.000


42.857
400.000


128.571
600.000


142.857
800.000


157.143
1000.000


171.429
1200.000


==== Compton[36] ====
===[[Akjayland]][42] (includes [[21edo]])===
14.286
Approximation of [[Pelog]] lima


85.714
114.286


100.
285.714


==== Akjayland[42] ====
685.714
14.286


57.143
800.000


'''or'''
1200.000


42.857
===[[Oquatonic]][56] (includes [[28edo]])===
 
57.143
 
==== Oquatonic[56] ====
14.286
 
42.857
 
'''or'''
 
28.571
 
42.857


==Other scales==
==Other scales==
Arcade
Arcade (approximation of [[32afdo]])


385.714
385.714
Line 1,384: Line 1,334:




Mechanical
Mechanical (approximation of [[16afdo]])


300.000
300.000
Line 1,397: Line 1,347:




Moonbeam
Moonbeam (approximation of [[16afdo]])


200.000
200.000
Line 1,410: Line 1,360:




Springwater
Springwater (approximation of [[8afdo]])


200.000
200.000
Line 1,423: Line 1,373:




Cyberspace
Deja Vu (approximated from [[101afdo]])


(This one sounds particularly lush and emotive, good for bittersweet synthwave tracks or things along those lines)
(This one sounds particularly lush and emotive, good for bittersweet synthwave tracks or things along those lines)
Line 1,438: Line 1,388:




Freeway
Freeway (approximation of [[6afdo]])


271.429
271.429
Line 1,448: Line 1,398:
885.714
885.714


1042.857142857143
1042.857


1200.000
1200.000




Geode
Geode (approximation of [[6afdo]])


271.429
271.429
Line 1,461: Line 1,411:
700.000
700.000


1042.857142857143
1042.857


1200.000
1200.000




Underpass
Underpass (approximation of [[10afdo]])


314.286
314.286
Line 1,479: Line 1,429:




Sourgummy
Sourgummy (approximation of [[51afdo]])


257.143
257.143
Line 1,492: Line 1,442:




Bubblegum
Bubblegum (approximation of [[60afdo]])


242.857
242.857
Line 1,505: Line 1,455:




Spearmint / Whitechocolate
Whitechocolate (approximation of [[90afdo]])


228.571
228.571
Line 1,518: Line 1,468:




Lemonade
Lemonade (approximation of [[79afdo]])


242.857
242.857
Line 1,524: Line 1,474:
471.429
471.429


728.5714285714286
728.571


971.429
971.429
Line 1,531: Line 1,481:




Cola
Cola (approximation of [[99afdo]])


242.857
242.857
Line 1,544: Line 1,494:




Spaceship
Spaceship (approximation of [[68ifdo]])


85.7142
85.714


371.429
371.429
Line 1,561: Line 1,511:


* [[Fractional-octave temperaments]]
* [[Fractional-octave temperaments]]
* [[MOS scale]]
** [[5- to 10-tone scales in 60edo]]
* [[5- to 8-tone scales in 91edo]]
** [[5- to 10-tone scales in 72edo]]
* [[5- to 8-tone scales from the modes of the harmonic series]]
** [[5- to 10-tone scales in 96edo]]
* [[5- to 10-tone scales from the modes of the harmonic series]]
** [[5- to 10-tone scales in 91edo]]
** [[5- to 10-tone scales from the modes of the subharmonic series]]
 
[[Category:Lists of scales]]
[[Category:Lists of scales]]
[[Category:5-tone scales]]
[[Category:5-tone scales]]