Xenharmonic Wiki

User:Moremajorthanmajor/4L 1s (5/3-equivalent): Difference between revisions

← Older editNewer edit →
VisualWikitext
Undo revision 94779 by Moremajorthanmajor (talk)
Tag: Undo
No edit summary
Line 5: Line 5:
The generator range is 171.4 to 240  cents, placing it on the diatonic major second, usually representing a major second of some type (like [[8/7]]). The bright (chroma-positive) generator is, however, its major sixth complement (685.7 to 720 cents).  
The generator range is 171.4 to 240  cents, placing it on the diatonic major second, usually representing a major second of some type (like [[8/7]]). The bright (chroma-positive) generator is, however, its major sixth complement (685.7 to 720 cents).  


Because this diatonic is a minor sixth-repeating scale, each tone has a 5/3 minor sixth above it. The scale has one augmented chord, two major chords, two minor chords. This diatonic also has two dominant 7th chords, making it a warped Neapolitan minor scale.
Because this diatonic is a major sixth-repeating scale, each tone has a 5/3 minor sixth above it. The scale has one augmented chord, two major chords, two minor chords. This diatonic also has two dominant 7th chords, making it a warped Neapolitan minor scale.


[[Basic]] diatonic is in [[9ed5/3]], which is a very good minor sixth-based equal tuning similar to [[12edo]].
[[Basic]] diatonic is in [[9ed5/3]], which is a very good minor sixth-based equal tuning similar to [[12edo]].
Line 43: Line 43:
100
100
|3\22
|3\22
124.1379
[[Tel:124.1379|124.1379]]
|2\13
|2\13
141.1765
[[Tel:141.1765|141.1765]]
|3\17
|3\17
163.{{Overline|63}}
163.{{Overline|63}}
Line 52: Line 52:
|Βb
|Βb
|3\19
|3\19
138.4615
[[Tel:138.4615|138.4615]]
|2\14
|2\14
126.3158
[[Tel:126.3158|126.3158]]
|3\23
|3\23
116.129
116.129
Line 67: Line 67:
|'''Β'''
|'''Β'''
|'''4\19'''
|'''4\19'''
'''184.6154'''
'''[[Tel:184.6154|184.6154]]'''
|'''3\14'''
|'''3\14'''
'''189.4736'''
'''[[Tel:189.4736|189.4736]]'''
|'''5\23'''
|'''5\23'''
'''193.5484'''
'''[[Tel:193.5484|193.5484]]'''
|'''2\9'''
|'''2\9'''
'''200'''
'''200'''
Line 77: Line 77:
'''206.89655'''
'''206.89655'''
|'''3\13'''
|'''3\13'''
'''211.7647'''
'''[[Tel:211.7647|211.7647]]'''
|'''4\17'''
|'''4\17'''
'''218.{{Overline|18}}'''
'''218.{{Overline|18}}'''
Line 84: Line 84:
|Β#
|Β#
|5\19
|5\19
230.7692
[[Tel:230.7692|230.7692]]
|4\14
|4\14
252.6316
[[Tel:252.6316|252.6316]]
|7\23
|7\23
270.9677
[[Tel:270.9677|270.9677]]
| rowspan="2" |3\9
| rowspan="2" |3\9
300
300
|8\22
|8\22
331.0345
[[Tel:331.0345|331.0345]]
|5\13
|5\13
352.9412
[[Tel:352.9412|352.9412]]
|7\17
|7\17
381.{{Overline|81}}
381.{{Overline|81}}
Line 101: Line 101:
|Γb
|Γb
|7\19
|7\19
323.0769
[[Tel:323.0769|323.0769]]
|5\14
|5\14
315.7895
[[Tel:315.7895|315.7895]]
|8\23
|8\23
309.6774
[[Tel:309.6774|309.6774]]
|7\22
|7\22
289.6552
[[Tel:289.6552|289.6552]]
|4\13
|4\13
282.3529
[[Tel:282.3529|282.3529]]
|5\17
|5\17
272.{{Overline|72}}
272.{{Overline|72}}
Line 116: Line 116:
|Γ
|Γ
|8\19
|8\19
369.2308
[[Tel:369.2308|369.2308]]
|6\14
|6\14
378.9474
[[Tel:378.9474|378.9474]]
|10\23
|10\23
387.0968
[[Tel:387.0968|387.0968]]
|4\9
|4\9


400
400
|10\22
|10\22
413.7931
[[Tel:413.7931|413.7931]]
|6\13
|6\13
423.5294
[[Tel:423.5294|423.5294]]
|8\17
|8\17
436.{{Overline|36}}
436.{{Overline|36}}
Line 134: Line 134:
|Γ#
|Γ#
|9\19
|9\19
415.3846
[[Tel:415.3846|415.3846]]
| rowspan="2" |7\14
| rowspan="2" |7\14
442.1053
[[Tel:442.1053|442.1053]]
|12\23
|12\23
464.5161
[[Tel:464.5161|464.5161]]
|5\9
|5\9
500
500
Line 144: Line 144:
537.931
537.931
|8\13
|8\13
564.7059
[[Tel:564.7059|564.7059]]
|11\17
|11\17
600
600
Line 151: Line 151:
|Δb
|Δb
|10\19
|10\19
461.5385
[[Tel:461.5385|461.5385]]
|11\23
|11\23
425.80645
425.80645
Line 157: Line 157:
400
400
|9\22
|9\22
372.4138
[[Tel:372.4138|372.4138]]
|5\13
|5\13
352.9412
[[Tel:352.9412|352.9412]]
|6\17
|6\17
327.{{Overline|27}}
327.{{Overline|27}}
Line 166: Line 166:
|Δ
|Δ
|11\19
|11\19
507.6923
[[Tel:507.6923|507.6923]]
|8\14
|8\14
505.2632
[[Tel:505.2632|505.2632]]
|13\23
|13\23
503.2259
[[Tel:503.2259|503.2259]]
|5\9
|5\9
500
500
|12\22
|12\22
496.5517
[[Tel:496.5517|496.5517]]
|7\13
|7\13
494.11765
494.11765
Line 187: Line 187:
568.42105
568.42105
|15\23
|15\23
580.6452
[[Tel:580.6452|580.6452]]
| rowspan="2" |6\9
| rowspan="2" |6\9
600
600
|15\22
|15\22
620.6897
[[Tel:620.6897|620.6897]]
|9\13
|9\13
635.2941
[[Tel:635.2941|635.2941]]
|12\17
|12\17
654.{{Overline|54}}
654.{{Overline|54}}
Line 204: Line 204:
631.57895
631.57895
|16\23
|16\23
619.3548
[[Tel:619.3548|619.3548]]
|14\22
|14\22
579.3103
[[Tel:579.3103|579.3103]]
|8\13
|8\13
564.7059
[[Tel:564.7059|564.7059]]
|10\17
|10\17
545.{{Overline|45}}
545.{{Overline|45}}
Line 215: Line 215:
|'''Ε'''
|'''Ε'''
|'''15\19'''
|'''15\19'''
'''692.3077'''
'''[[Tel:692.3077|692.3077]]'''
|'''11\14'''
|'''11\14'''
'''694.7368'''
'''[[Tel:694.7368|694.7368]]'''
|'''18\23'''
|'''18\23'''
'''696.7742'''
'''[[Tel:696.7742|696.7742]]'''
|'''7\8'''
|'''7\8'''
'''700'''
'''700'''
|'''17\22'''
|'''17\22'''
'''703.4483'''
'''[[Tel:703.4483|703.4483]]'''
|'''10\13'''
|'''10\13'''
'''705.88235'''
'''705.88235'''
Line 232: Line 232:
|Ε#
|Ε#
|16\19
|16\19
738.4615
[[Tel:738.4615|738.4615]]
|12\14
|12\14
757.8947
[[Tel:757.8947|757.8947]]
|20\23
|20\23
774.19355
774.19355
Line 240: Line 240:
800
800
|20\22
|20\22
827.5862
[[Tel:827.5862|827.5862]]
|12\13
|12\13
847.0588
[[Tel:847.0588|847.0588]]
|16\14
|16\14
872.{{Overline|72}}
872.{{Overline|72}}
Line 249: Line 249:
|Ϛb/Ϝb
|Ϛb/Ϝb
|18\19
|18\19
830.7692
[[Tel:830.7692|830.7692]]
|13\14
|13\14
821.0526
[[Tel:821.0526|821.0526]]
|21\23
|21\23
812.9032
[[Tel:812.9032|812.9032]]
|19\22
|19\22
786.2069
[[Tel:786.2069|786.2069]]
|11\13
|11\13
776.6471
[[Tel:776.6471|776.6471]]
|14\17
|14\17
763.{{Overline|63}}
763.{{Overline|63}}
Line 264: Line 264:
!Ϛ/Ϝ
!Ϛ/Ϝ
!19\19
!19\19
876.9231
[[Tel:876.9231|876.9231]]
!14\14
!14\14
884.2105
[[Tel:884.2105|884.2105]]
!23\23
!23\23
890.3226
[[Tel:890.3226|890.3226]]
!9\9
!9\9
900
900
!22\22
!22\22
910.3448
[[Tel:910.3448|910.3448]]
!13\13
!13\13
917.6471
[[Tel:917.6471|917.6471]]
!17\17
!17\17
927.{{Overline|27}}
927.{{Overline|27}}
Line 281: Line 281:
|Ϛ#/Ϝ#
|Ϛ#/Ϝ#
|20\19
|20\19
923.0769
[[Tel:923.0769|923.0769]]
|15\14
|15\14
947.3684
[[Tel:947.3684|947.3684]]
|24\23
|24\23
929.0323
[[Tel:929.0323|929.0323]]
| rowspan="2" |10\9
| rowspan="2" |10\9
1000
1000
Line 306: Line 306:
993.10345
993.10345
|14\13
|14\13
988.2353
[[Tel:988.2353|988.2353]]
|18\17
|18\17
981.{{Overline|81}}
981.{{Overline|81}}
Line 559: Line 559:
''122.{{Overline|72}}''
''122.{{Overline|72}}''
|''2\13''
|''2\13''
''138.4615''
''[[Tel:138.4615|138.4615]]''
|''3\17''
|''3\17''
''158.8235''
''[[Tel:158.8235|158.8235]]''
|-
|-
|Reb, Lab
|Reb, Lab
|Βb
|Βb
|''3\19''
|''3\19''
''142.1053''
''[[Tel:142.1053|142.1053]]''
|''2\14''
|''2\14''
''128.5714''
''[[Tel:128.5714|128.5714]]''
|''3\23''
|''3\23''
''117.3913''
''[[Tel:117.3913|117.3913]]''
|''2\22''
|''2\22''
''81.{{Overline|81}}''
''81.{{Overline|81}}''
Line 581: Line 581:
|Β
|Β
|'''''4\19'''''
|'''''4\19'''''
'''''189.4737'''''
'''''[[Tel:189.4737|189.4737]]'''''
|'''''3\14'''''
|'''''3\14'''''
'''''192.8571'''''
'''''[[Tel:192.8571|192.8571]]'''''
|'''''5\23'''''
|'''''5\23'''''
'''''195.6522'''''
'''''[[Tel:195.6522|195.6522]]'''''
|'''''2\9'''''
|'''''2\9'''''
'''''200'''''
'''''200'''''
Line 591: Line 591:
'''''204.{{Overline|54}}'''''
'''''204.{{Overline|54}}'''''
|'''''3\13'''''
|'''''3\13'''''
'''''207.6923'''''
'''''[[Tel:207.6923|207.6923]]'''''
|'''''4\17'''''
|'''''4\17'''''
'''''211.7647'''''
'''''[[Tel:211.7647|211.7647]]'''''
|-
|-
|Re#, La#
|Re#, La#
|Β#
|Β#
|''5\19''
|''5\19''
''236.8421''
''[[Tel:236.8421|236.8421]]''
|''4\14''
|''4\14''
''257.1429''
''[[Tel:257.1429|257.1429]]''
|''7\23''
|''7\23''
''273.913''
''273.913''
Line 610: Line 610:
''346.15385''
''346.15385''
|''7\17''
|''7\17''
''370.5882''
''[[Tel:370.5882|370.5882]]''
|-
|-
|Mib, Sib
|Mib, Sib
Line 617: Line 617:
''331.57895''
''331.57895''
|''5\14''
|''5\14''
''321.4286''
''[[Tel:321.4286|321.4286]]''
|''8\23''
|''8\23''
''313.0345''
''[[Tel:313.0345|313.0345]]''
|''7\22''
|''7\22''
''286.{{Overline|36}}''
''286.{{Overline|36}}''
|''4\13''
|''4\13''
''276.9231''
''[[Tel:276.9231|276.9231]]''
|''5\17''
|''5\17''
''264.7059''
''[[Tel:264.7059|264.7059]]''
|-
|-
|Mi, Si
|Mi, Si
|Γ
|Γ
|''8\19''
|''8\19''
''378.9474''
''[[Tel:378.9474|378.9474]]''
|''6\14''
|''6\14''
''385.7143''
''[[Tel:385.7143|385.7143]]''
|''10\23''
|''10\23''
''391.304''
''391.304''
Line 641: Line 641:
''409.{{Overline|09}}''
''409.{{Overline|09}}''
|''6\13''
|''6\13''
''415.3846''
''[[Tel:415.3846|415.3846]]''
|''8\17''
|''8\17''
''423.5294''
''[[Tel:423.5294|423.5294]]''
|-
|-
|Mi#, Si#
|Mi#, Si#
|Γ#
|Γ#
|''9\19''
|''9\19''
''426.3158''
''[[Tel:426.3158|426.3158]]''
| rowspan="2" |''7\14''
| rowspan="2" |''7\14''
''450''
''450''
|''12\23''
|''12\23''
''469.5652''
''[[Tel:469.5652|469.5652]]''
|''5\9''
|''5\9''
''500''
''500''
Line 660: Line 660:
''553.84615''
''553.84615''
|''11\17''
|''11\17''
''582.3529''
''[[Tel:582.3529|582.3529]]''
|-
|-
|Fab, Dob
|Fab, Dob
|Δb
|Δb
|''10\19''
|''10\19''
''473.6842''
''[[Tel:473.6842|473.6842]]''
|''11\23''
|''11\23''
''430.7692''
''[[Tel:430.7692|430.7692]]''
|''4\9''
|''4\9''
''400''
''400''
Line 675: Line 675:
''346.15385''
''346.15385''
|''6\17''
|''6\17''
''317.6471''
''[[Tel:317.6471|317.6471]]''
|-
|-
|Fa, Do
|Fa, Do
|Δ
|Δ
|''11\19''
|''11\19''
''521.0526''
''[[Tel:521.0526|521.0526]]''
|''8\14''
|''8\14''
''514.2857''
''[[Tel:514.2857|514.2857]]''
|''13\23''
|''13\23''
''508.696''
''508.696''
Line 690: Line 690:
''490.{{Overline|90}}''
''490.{{Overline|90}}''
|''7\13''
|''7\13''
''484.6154''
''[[Tel:484.6154|484.6154]]''
|''9\17''
|''9\17''
''476.4706''
''[[Tel:476.4706|476.4706]]''
|-
|-
|Fa#, Do#
|Fa#, Do#
Line 699: Line 699:
''568.42105''
''568.42105''
|''9\14''
|''9\14''
''578.5714''
''[[Tel:578.5714|578.5714]]''
|''15\23''
|''15\23''
''587.9655''
''[[Tel:587.9655|587.9655]]''
| rowspan="2" |''6\9''
| rowspan="2" |''6\9''
''600''
''600''
Line 707: Line 707:
''613.{{Overline|63}}''
''613.{{Overline|63}}''
|''9\13''
|''9\13''
''623.0769''
''[[Tel:623.0769|623.0769]]''
|''12\17''
|''12\17''
''635.2931''
''[[Tel:635.2931|635.2931]]''
|-
|-
|Solb, Reb
|Solb, Reb
|Εb
|Εb
|''14\19''
|''14\19''
''663.1579''
''[[Tel:663.1579|663.1579]]''
|''10\14''
|''10\14''
''642.8571''
''[[Tel:642.8571|642.8571]]''
|''16\23''
|''16\23''
''626.087''
''626.087''
Line 724: Line 724:
''553.84615''
''553.84615''
|''10\17''
|''10\17''
''529.4118''
''[[Tel:529.4118|529.4118]]''
|-
|-
|'''Sol, Re'''
|'''Sol, Re'''
|'''Ε'''
|'''Ε'''
|'''''15\19'''''
|'''''15\19'''''
'''''710.5263'''''
'''''[[Tel:710.5263|710.5263]]'''''
|'''''11\14'''''
|'''''11\14'''''
'''''707.1429'''''
'''''[[Tel:707.1429|707.1429]]'''''
|'''''18\23'''''
|'''''18\23'''''
'''''704.3478'''''
'''''[[Tel:704.3478|704.3478]]'''''
|'''''7\8'''''
|'''''7\8'''''
'''''700'''''
'''''700'''''
Line 739: Line 739:
'''''695.{{Overline|45}}'''''
'''''695.{{Overline|45}}'''''
|'''''10\13'''''
|'''''10\13'''''
'''''692.3077'''''
'''''[[Tel:692.3077|692.3077]]'''''
|'''''13\17'''''
|'''''13\17'''''
'''''688.2353'''''
'''''[[Tel:688.2353|688.2353]]'''''
|-
|-
|Sol#, Re#
|Sol#, Re#
|Ε#
|Ε#
|''16\19''
|''16\19''
''757.8947''
''[[Tel:757.8947|757.8947]]''
|''12\14''
|''12\14''
''771.4286''
''[[Tel:771.4286|771.4286]]''
|''20\23''
|''20\23''
''782.6087''
''[[Tel:782.6087|782.6087]]''
| rowspan="2" |''8\8''
| rowspan="2" |''8\8''
''800''
''800''
Line 756: Line 756:
''818.{{Overline|18}}''
''818.{{Overline|18}}''
|''12\13''
|''12\13''
''830.7692''
''[[Tel:830.7692|830.7692]]''
|''16\14''
|''16\14''
''847.0588''
''[[Tel:847.0588|847.0588]]''
|-
|-
|Dob, Solb
|Dob, Solb
|Ϛb/Ϝb
|Ϛb/Ϝb
|''18\19''
|''18\19''
''852.6316''
''[[Tel:852.6316|852.6316]]''
|''13\14''
|''13\14''
''835.7143''
''[[Tel:835.7143|835.7143]]''
|''21\23''
|''21\23''
''821.7391''
''[[Tel:821.7391|821.7391]]''
|''19\22''
|''19\22''
''777.{{Overline|27}}''
''777.{{Overline|27}}''
|''11\13''
|''11\13''
''761.5385''
''[[Tel:761.5385|761.5385]]''
|''14\17''
|''14\17''
''741.1765''
''[[Tel:741.1765|741.1765]]''
|-
|-
!Do, Sol
!Do, Sol
Line 782: Line 782:
|Ϛ#/Ϝ#
|Ϛ#/Ϝ#
|''20\19''
|''20\19''
''947.3684''
''[[Tel:947.3684|947.3684]]''
|''15\14''
|''15\14''
''964.2857''
''[[Tel:964.2857|964.2857]]''
|''25\23''
|''25\23''
''978.2609''
''[[Tel:978.2609|978.2609]]''
| rowspan="2" |''10\9''
| rowspan="2" |''10\9''
''1000''
''1000''
Line 807: Line 807:
''981.{{Overline|81}}''
''981.{{Overline|81}}''
|''14\13''
|''14\13''
''969.2308''
''[[Tel:969.2308|969.2308]]''
|''18\17''
|''18\17''
''952.9412''
''[[Tel:952.9412|952.9412]]''
|-
|-
|'''Re, La'''
|'''Re, La'''
Line 1,582: Line 1,582:
|201.77
|201.77
|700.885
|700.885
|''201.1765''
|''[[Tel:201.1765|201.1765]]''
|''698.8235''
|''[[Tel:698.8235|698.8235]]''
|19
|19
|9
|9
Line 1,606: Line 1,606:
|202.247
|202.247
|701.123
|701.123
|''201.4925''
|''[[Tel:201.4925|201.4925]]''
|''698.5075''
|''[[Tel:698.5075|698.5075]]''
|15
|15
|7
|7
Line 1,762: Line 1,762:
|213.084
|213.084
|706.542
|706.542
|''208.5365''
|''[[Tel:208.5365|208.5365]]''
|''691.4635''
|''[[Tel:691.4635|691.4635]]''
|19
|19
|6
|6
Line 1,834: Line 1,834:
|216.867
|216.867
|708.434
|708.434
|''210.9375''
|''[[Tel:210.9375|210.9375]]''
|''689.0625''
|''[[Tel:689.0625|689.0625]]''
|15
|15
|4
|4
Retrieved from "https://en.xen.wiki/w/User:Moremajorthanmajor/4L_1s_(5/3-equivalent)"