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m BudjarnLambeth moved page 5- to 8-tone scales in 84edo to 5- to 10-tone scales in 84edo: I had originally made these pages “5 to 8 tone scales” because I misremembered reading that there was something special about scales with 5 to 8 tones. On one of the wikifuture/wishlist pages, Inthar listed highlighting 5 to 10 tone scales as a goal, which I agree is a good idea, so I’m converting these articles to focus on 5 to 10 tone scales instead, in service of that.
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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]===
[[Antipental blues]] (approximated from [[Dwarf17marv]])
271.429
500.000
542.857
700.000
971.429
1200.000
[[Spectral blues]] (approximated from [[Dwarf17marv]])
271.429
500.000
542.857
700.000
885.714
971.429
1200.000
===[[Dodifo]][37]===
===[[Dodifo]][37]===
===[[Sensei]][27]===
===[[Sensei]][27]===
===[[Merman]][23]===
===[[Merman]][23]===
===[[Narayana]][34]===
===[[Narayana]][34]===
===[[Bison]][38]===
===[[Bison]][38]===
Palace (approximated from [[Porky]] in [[29edo]])
157.143
314.286
500.000
700.000
857.143
1014.286
1200.000
===[[Secant]][38]===
===[[Secant]][38]===
===[[Nessafof]][39]===
===[[Nessafof]][39]===
===[[Absurdity]][42] (includes [[7edo]])===
===[[Absurdity]][42] (includes [[7edo]])===
===[[Compton]][36] (includes [[12edo]])===


==== Major scales ====
Palace (approximated from [[Porky]] in [[29edo]])
Ionian Pentatonic
 
157.143
 
314.286
 
500.000
 
700.000
 
857.143
 
1014.286
 
1200.000
 
===[[Compton]][48] (includes [[12edo]])===
 
====Major scales====
Ionian Pentatonic (exact tuning from [[12edo]])


400.000
400.000
Line 26: Line 97:




Major
Flattened Ionian Pentatonic (approximated from [[Compton]] in [[96edo]])
 
385.714
 
500.000
 
700.000
 
1085.714
 
1200.000
 
 
Major (exact tuning from [[12edo]])


200.000
200.000
Line 43: Line 127:




Major Pentatonic
Flattened Major (approximated from [[Compton]] in [[96edo]])
 
200.000
 
385.714
 
500.000
 
700.000
 
885.714
 
1085.714
 
1200.000
 
 
Major Pentatonic (exact tuning from [[12edo]])


200.000
200.000
Line 52: Line 153:


900.000
900.000
1200.000
Flattened Major Pentatonic (approximated from [[Compton]] in [[96edo]])
185.714
385.714
700.000
885.714


1200.000
1200.000


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


200.000
200.000
Line 73: Line 187:




Minor Harmonic
Sharpened Minor (approximated from [[Compton]] in [[96edo]])
 
200.000
 
314.286
 
500.000
 
700.000
 
814.286
 
1014.286
 
1200.000
 
 
Minor Harmonic (exact tuning from [[12edo]])


200.000
200.000
Line 90: Line 221:




Minor Harmonic Pentatonic I
Sharpened Minor Harmonic (approximated from [[Compton]] in [[96edo]])
 
214.286
 
314.286
 
514.286
 
714.286
 
814.286
 
1114.286
 
1200.000
 
 
Minor Harmonic Pentatonic I (exact tuning from [[12edo]])


200.000
200.000
Line 103: Line 251:




Minor Harmonic Pentatonic II
Sharpened Minor Harmonic Pentatonic I (approximated from [[Compton]] in [[96edo]])
 
214.286
 
314.286
 
714.286
 
1114.286
 
1200.000
 
 
Minor Harmonic Pentatonic II (exact tuning from [[12edo]])


300.000
300.000
Line 116: Line 277:




Minor Hexatonic
Sharpened Minor Harmonic Pentatonic II (approximated from [[Compton]] in [[96edo]])
 
314.286
 
514.286
 
714.286
 
1114.286
 
1200.000
 
 
Minor Hexatonic (exact tuning from [[12edo]])


200.000
200.000
Line 131: Line 305:




Minor Melodic
Evened Minor Hexatonic (approximated from [[Compton]] in [[96edo]])
 
185.714
 
314.286
 
500.000
 
700.000
 
985.714
 
1200.000
 
 
Minor Melodic (exact tuning from [[12edo]])


200.000
200.000
Line 148: Line 337:




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


300.000
300.000
Line 159: Line 348:


1200.000
1200.000
Sharpened Minor Pentatonic (approximated from [[Compton]] in [[96edo]])
314.286
500.000
700.000
1014.286
1200.000
====Modal scales====
====Modal scales====




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


200.000
200.000
Line 179: Line 382:




Dorian Harmonic
Sharpened Dorian (approximated from [[Compton]] in [[96edo]])
 
214.286
 
314.286
 
514.286
 
714.286
 
914.286
 
1014.286
 
1200.000
 
 
Dorian Harmonic (exact tuning from [[12edo]])


200.000
200.000
Line 196: Line 416:




Mixolydian Pentatonic
Sharpened Dorian Harmonic (approximated from [[Compton]] in [[96edo]])
 
214.286
 
314.286
 
614.286
 
714.286
 
914.286
 
1014.286
 
1200.000
 
 
Mixolydian Pentatonic (exact tuning from [[12edo]])


400.000
400.000
Line 209: Line 446:




Phrygian
Evened Mixolydian Pentatonic (approximated from [[Compton]] in [[96edo]])
 
385.714
 
500.000
 
714.286
 
985.714
 
1200.000
 
 
 
Phrygian (exact tuning from [[12edo]])


100.000
100.000
Line 226: Line 477:




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


100.000
85.714


400.000
285.714


500.000
485.714


700.000
685.714


800.000
785.714


1000.000
985.714


1200.000
1200.000




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


100.000
100.000
Line 252: Line 505:


700.000
700.000
800.000


1000.000
1000.000
Line 258: Line 513:




Phrygian Dominant Pentatonic
Roughened Phrygian Dominant (approximated from [[Compton]] in [[96edo]])
 
85.714


400.000
400.000


500.000
485.714
 
685.714


700.000
771.429


800.000
985.714


1200.000
1200.000




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


100.000
100.000


300.000
400.000
 
500.000


700.000
700.000


800.000
1000.000


1200.000
1200.000


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


300.000
Evened Phrygian Dominant Hexatonic (approximated from [[Compton]] in [[96edo]])
 
114.286
 
385.714


500.000
500.000


600.000
714.286
 
700.000


800.000
985.714


1200.000
1200.000




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


300.000
400.000


500.000
500.000
Line 312: Line 573:




Blues Aeolian Pentatonic II
Phrygian Pentatonic (exact tuning from [[12edo]])
 
100.000


300.000
300.000
Line 319: Line 582:


800.000
800.000
1000.000


1200.000
1200.000




Blues Bright Double Harmonic
Sharpened Phrygian Pentatonic (approximated from [[Compton]] in [[96edo]])


100.000
100.000


400.000
314.286


500.000
714.286


700.000
814.286
 
800.000
 
1000.000
 
1100.000


1200.000
1200.000


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


Blues Dark Double Harmonic
314.286
 
200.000
 
300.000


500.000
500.000


600.000
585.714


700.000
700.000


800.000
785.714


1100.000
1114.286


1200.000
1200.000




Blues Dorian Hexatonic
[[Lost spirit]] (approximated from [[Meantone]] in [[31edo]])


300.000
314.286


500.000
500.000
585.714


700.000
700.000


900.000
928.571


1000.000
1014.286


1200.000
1200.000




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


300.000
300.000
500.000
600.000


700.000
700.000


900.000
800.000
 
1000.000


1200.000
1200.000




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


300.000
314.286


500.000
500.000
Line 401: Line 658:
700.000
700.000


900.000
800.000
 
1000.000


1200.000
1200.000




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


300.000
300.000
Line 418: Line 671:
700.000
700.000


1100.000
800.000


1200.000
1200.000




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


300.000
285.714


500.000
485.714


600.000
685.714


700.000
785.714
 
800.000
 
1100.000


1200.000
1200.000




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


300.000
300.000


500.000
700.000


600.000
800.000
 
700.000


1000.000
1000.000
1100.000


1200.000
1200.000




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


300.000
314.286


500.000
714.286


600.000
800.000
 
700.000


1000.000
1000.000
Line 472: Line 715:




Blues Minor Maj7
Blues Bright Double Harmonic (exact tuning from [[12edo]])


300.000
100.000
 
400.000


500.000
500.000


600.000
700.000
 
800.000


700.000
1000.000


1100.000
1100.000
Line 487: Line 734:




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


200.000
200.000
Line 498: Line 745:


700.000
700.000
800.000
1100.000


1200.000
1200.000


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


200.000
Blues Dorian Hexatonic (exact tuning from [[12edo]])
 
300.000


400.000
500.000


600.000
700.000


800.000
900.000


1000.000
1000.000
Line 517: Line 768:




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


300.000
314.286


400.000
514.286


700.000
714.286


800.000
900.000


1100.000
1014.286


1200.000
1200.000




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


200.000
300.000


400.000
700.000


700.000
900.000


1000.000
1000.000
Line 545: Line 796:




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


100.000
300.000
 
400.000
 
500.000


700.000
700.000


800.000
914.286


1100.000
985.714


1200.000
1200.000




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


200.000
300.000
 
500.000


300.000
600.000


700.000
700.000


800.000
900.000
 
1000.000


1200.000
1200.000




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


100.000
300.000


300.000
514.286


600.000
600.000


700.000
685.714
 
914.286
 
985.714


1200.000
1200.000




Kokin-Joshi
Blues Harmonic Hexatonic (exact tuning from [[12edo]])


200.000
200.000


300.000
300.000
500.000


700.000
700.000


900.000
1100.000


1200.000
1200.000




Cosmic
Roughened Blues Harmonic Hexatonic (approximated from [[Compton]] in [[96edo]])
 
214.286
 
285.714


500.000
500.000


700.000
714.286


800.000
1114.286
 
1000.000


1200.000
1200.000




Cosmic 2
Blues Harmonic Septatonic (exact tuning from [[12edo]])
 
200.000


300.000
300.000


500.000
500.000
600.000


700.000
700.000
800.000
1100.000


1200.000
1200.000


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


114.286
Sharpened Blues Harmonic Septatonic (approximated from [[Compton]] in [[96edo]])
 
314.286
 
514.286
 
614.286


285.714
714.286


685.714
814.286


800.000
1114.286


1200.000
1200.000


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


=== Parent MOS scales (for reference) ===
Blues Leading (exact tuning from [[12edo]])
Modes of these scales are still considered to be the same scale.


==== Orwell[31] ====
300.000
42.857


71.429
500.000


114.286
600.000


157.143
700.000


200.
1000.000


228.571
1100.000


271.429
1200.000


314.286


342.857
Evened Blues Leading (approximated from [[Compton]] in [[96edo]])


385.714
300.000


428.571
485.714


471.429
600.000


500.
714.286


542.857
971.429


585.714
1085.714


614.286
1200.000


657.143


700.
Blues Minor (exact tuning from [[12edo]])


728.571
300.000


771.429
500.000


814.286
600.000


857.143
700.000


885.714
1000.000


928.571
1200.000


971.429


1000.
Evened Blues Minor (approximated from [[Compton]] in [[96edo]])


1042.857
300.000


1085.714
485.714


1128.571
600.000


1157.143
714.286


1200.
1014.286


==== Dodifo[37] ====
1200.000
28.571


71.429


100.
Blues Minor Maj7 (exact tuning from [[12edo]])


128.571
300.000


157.143
500.000


200.
600.000


228.571
700.000


257.143
1100.000


300.
1200.000


328.571


357.143
Flattened Blues Minor Maj7 (approximated from [[Compton]] in [[96edo]])


385.714
285.714


428.571
500.000


457.143
600.000


485.714
700.000


514.286
1100.000


557.143
1200.000


585.714


614.286
Blues Pentachordal (exact tuning from [[12edo]])


657.143
200.000


685.714
300.000


714.286
500.000


742.857
600.000


785.714
700.000


814.286
1200.000


842.857


871.429
Sharpened Blues Pentachordal (approximated from [[Compton]] in [[96edo]])


914.286
214.286


942.857
314.286


971.429
514.286


1014.286
614.286


1042.857
714.286


1071.429
1200.000


1100.


1142.857
====Other scales====
Augmented (exact tuning from [[12edo]])


1171.429
300.000


1200.
400.000


==== Sensei[27] ====
700.000
57.143


71.429
800.000


128.571
1100.000


185.714
1200.000


242.857


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


314.286
314.286


371.429
400.000


385.714
714.286


442.857
800.000


500.
1114.286


514.286
1200.000


571.429


628.571
Cosmic (approximated from [[32afdo]]


685.714
500.000


700.
700.000


757.143
800.000


814.286
1000.000
 
1200.000


828.571


885.714
Roughened Cosmic (approximated from [[Compton]] in [[96edo]])


942.857
485.714


957.143
700.000


1014.286
770.000


1071.429
985.714


1128.571
1200.000


1142.857


1200.
Cosmic Two (approximated from [[32afdo]], then rotated]]


==== Merman[23] ====
200.000
28.571


57.143
300.000


85.714
500.000


114.286
700.000


142.857
1200.000


442.857


471.429
Roughened Cosmic Two (approximated from [[Compton]] in [[96edo]])


500.
214.286


528.571
285.714


557.143
500.000


585.714
714.286


614.286
1200.000


642.857


671.429
Compton Deja Vu (approximated from [[101afdo]])


700.
314.286


728.571
700.000


1028.571
814.286


1057.143
1014.286


1085.714
1200.000


1114.286


1142.857
Dominant Pentatonic (exact tuning from [[12edo]])


1171.429
200.000


1200.
400.000


==== Narayana[34] ====
700.000
42.857


71.429
1000.000


114.286
1200.000


142.857


185.714
Evened Dominant Pentatonic (approximated from [[Compton]] in [[96edo]])


214.286
214.286


257.143
428.571
 
700.000
 
985.714
 
1200.000


285.714


314.286
Double Harmonic (exact tuning from [[12edo]])


357.143
100.000


385.714
400.000


428.571
500.000


457.143
700.000


500.
800.000


528.571
1100.000


571.429
1200.000


600.


==== Bison[38] ====
Hirajoshi (exact tuning from [[12edo]])
28.571


57.143
200.000


100.
300.000


128.571
700.000


157.143
800.000


185.714
1200.000


214.286


257.143
Sharpened Hirajoshi (approximated from [[Compton]] in [[96edo]])


285.714
200.000


314.286
314.286


342.857
700.000


371.429
814.286


414.286
1200.000


442.857


471.429
Javanese Pentachordal (exact tuning from [[12edo]])


500.
100.000


528.571
300.000


571.429
600.000


600.
700.000


==== Secant[38] ====
1200.000
14.286


42.857


57.143
Roughened Javanese Pentachordal (approximated from [[Compton]] in [[96edo]])


85.714
85.714


100.000
300.000
 
614.286
 
700.000
 
1200.000
 


128.571
Akebono I (exact tuning from [[12edo]])


142.857
200.000


171.429
300.000


185.714
700.000


200.
900.000


228.571
1200.000


242.857


271.429
Sharpened Akebono I (approximated from [[Compton]] in [[96edo]])


285.714
200.000


314.286
314.286


328.571
700.000


357.143
900.000


371.429
1200.000


400.


414.286
Compton Moonbeam (approximated from [[16afdo]])


428.571
200.000
 
300.000


457.143
700.000


471.429
1085.714


500.
1200.000


514.286


542.857
Compton Palace (approximated from [[Porky]] in [[29edo]])


557.143
157.143


585.714
300.000


600.
500.000


==== Nesssafof[39] ====
700.000
57.143


71.429
857.143


85.714
1000.000


142.857
1200.000


157.143


171.429
Compton Underpass (approximated from [[10afdo]])


228.571
314.286


242.857
700.000


300.
914.286


314.286
1014.286


328.571
1200.000


385.714


400.
Whole Tone (exact tuning from [[6edo]])


==== Absurdity[42] ====
200.000
14.286


28.571
400.000


42.857
600.000


142.857
800.000


157.143
1000.000


171.429
1200.000


==== Compton[36] ====
===[[Akjayland]][42] (includes [[21edo]])===
71.429
Approximation of [[Pelog]] lima


85.714
114.286


100.
285.714


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


57.143
800.000


==== Oquatonic[56] ====
1200.000
14.286


42.857
===[[Oquatonic]][56] (includes [[28edo]])===


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


385.714
385.714
Line 1,088: Line 1,334:




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


300.000
300.000
Line 1,101: Line 1,347:




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


200.000
200.000
Line 1,114: Line 1,360:




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


200.000
200.000
Line 1,127: 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 1,142: Line 1,388:




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


271.429
271.429
Line 1,152: 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 1,165: 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 1,183: Line 1,429:




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


257.143
257.143
Line 1,196: Line 1,442:




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


242.857
242.857
Line 1,209: Line 1,455:




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


228.571
228.571
Line 1,222: Line 1,468:




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


242.857
242.857
Line 1,228: Line 1,474:
471.429
471.429


728.5714285714286
728.571


971.429
971.429
Line 1,235: Line 1,481:




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


242.857
242.857
Line 1,248: Line 1,494:




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


85.7142
85.714


371.429
371.429
Line 1,265: 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]]
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