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User:Moremajorthanmajor/4L 1s (major sixth-equivalent): Difference between revisions

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Line 11: Line 11:
{| class="wikitable"
{| class="wikitable"
|+Normalized
|+Normalized
! colspan="2" |Notation
!Notation
!Supersoft
!Supersoft
!Soft
!Soft
Line 21: Line 21:
|-
|-
!Diatonic
!Diatonic
!Scala Francisci
!19eds
!19eds
!14eds
!14eds
Line 31: Line 30:
|-
|-
|Do#, Fa#, Sol#
|Do#, Fa#, Sol#
|Α#
|1\19, 46.154¢
|1\19, 46.154¢
|1\14, 63.158¢
|1\14, 63.158¢
Line 41: Line 39:
|-
|-
|Reb, Solb, Lab
|Reb, Solb, Lab
|Βb
|3\19, 138.462¢
|3\19, 138.462¢
|2\14, 126.316¢
|2\14, 126.316¢
Line 50: Line 47:
|-
|-
|'''Re, Sol, La'''
|'''Re, Sol, La'''
|'''Β'''
|'''4\19,''' '''184.615¢'''
|'''4\19,''' '''184.615¢'''
|'''3\14,''' '''189.474¢'''
|'''3\14,''' '''189.474¢'''
Line 60: Line 56:
|-
|-
|Re#, Sol#, La#
|Re#, Sol#, La#
|Β#
|5\19, 230.769¢
|5\19, 230.769¢
|4\14, 252.632¢
|4\14, 252.632¢
Line 70: Line 65:
|-
|-
|Mib, Lab, Sib
|Mib, Lab, Sib
|Γb
|7\19, 323.077¢
|7\19, 323.077¢
|5\14, 315.789¢
|5\14, 315.789¢
Line 79: Line 73:
|-
|-
|Mi, La, Si
|Mi, La, Si
|Γ
|8\19, 369.231¢
|8\19, 369.231¢
|6\14, 378.947¢
|6\14, 378.947¢
Line 89: Line 82:
|-
|-
|Mi#, La#, Si#
|Mi#, La#, Si#
|Γ#
|9\19, 415.385¢
|9\19, 415.385¢
| rowspan="2" |7\14, 442.105¢
| rowspan="2" |7\14, 442.105¢
Line 99: Line 91:
|-
|-
|Fab, Sibb, Dob
|Fab, Sibb, Dob
|Δb
|10\19, 461.538¢
|10\19, 461.538¢
|11\23, 425.806¢
|11\23, 425.806¢
Line 108: Line 99:
|-
|-
|Fa, Sib, Do
|Fa, Sib, Do
|Δ
|11\19, 507.692¢
|11\19, 507.692¢
|8\14, 505.263¢
|8\14, 505.263¢
Line 118: Line 108:
|-
|-
|Fa#, Si, Do#
|Fa#, Si, Do#
|Δ#
|12\19, 553.846¢
|12\19, 553.846¢
|9\14, 568.421¢
|9\14, 568.421¢
Line 128: Line 117:
|-
|-
|Solb, Dob,  Reb
|Solb, Dob,  Reb
|Εb
|14\19, 646.154¢
|14\19, 646.154¢
|10\14, 631.579¢
|10\14, 631.579¢
Line 137: Line 125:
|-
|-
|'''Sol, Do, Re'''
|'''Sol, Do, Re'''
|'''Ε'''
|'''15\19,''' '''692.308¢'''
|'''15\19,''' '''692.308¢'''
|'''11\14,''' '''694.737¢'''
|'''11\14,''' '''694.737¢'''
Line 147: Line 134:
|-
|-
|Sol#, Do#, Re#
|Sol#, Do#, Re#
|Ε#
|16\19, 738.462¢
|16\19, 738.462¢
|12\14, 757.895¢
|12\14, 757.895¢
Line 157: Line 143:
|-
|-
|Dob, Fab, Solb
|Dob, Fab, Solb
|18\19, 830.769¢
|13\14, 821.053¢
|21\23, 812.903¢
|19\22, 786.207¢
|11\13, 776.647¢
|14\17, 763.636¢
|-
!Do, Fa, Sol
!19\19, 876.923¢
!14\14, 884.211¢
!23\23, 890.323¢
!9\9, 900¢
!22\22, 910.345¢
!13\13, 917.647¢
!17\17, 927.273¢
|}
{| class="wikitable"
|+Normalized
!Notation
!Supersoft
!Soft
!Semisoft
!Basic
!Semihard
!Hard
! Superhard
|-
!Scala Francisci
!19eds
!14eds
!23eds
!9eds
!22eds
!13eds
! 17eds
|-
| Α#
| 1\19, 46.154¢
|1\14, 63.158¢
|2\23, 77.419¢
| rowspan="2" |1\9, 100¢
| 3\22, 124.138¢
|2\13, 141.176¢
|3\17, 163.636¢
|-
|Βb
|3\19, 138.462¢
|2\14, 126.316¢
|3\23, 116.129¢
|2\22, 82.759¢
|1\13, 70.588¢
|1\17, 54.545¢
|-
|'''Β'''
|'''4\19,''' '''184.615¢'''
|'''3\14,''' '''189.474¢'''
|'''5\23,''' '''193.548¢'''
|'''2\9,''' '''200¢'''
|'''5\22,''' '''206.897¢'''
|'''3\13,''' '''211.765¢'''
|'''4\17,''' '''218.182¢'''
|-
|Β#
|5\19, 230.769¢
|4\14, 252.632¢
|7\23, 270.968¢
| rowspan="2" |3\9, 300¢
|8\22, 331.034¢
|5\13, 352.941¢
| 7\17, 381.818¢
|-
|Γb
|7\19, 323.077¢
|5\14, 315.789¢
|8\23, 309.677¢
|7\22, 289.655¢
|4\13, 282.353¢
|5\17, 272.727¢
|-
|Γ
|8\19, 369.231¢
|6\14, 378.947¢
|10\23, 387.097¢
|4\9, 400¢
|10\22, 413.793¢
|6\13, 423.529¢
|8\17, 436.36&¢
|-
|Γ#
|9\19, 415.385¢
| rowspan="2" |7\14, 442.105¢
|12\23, 464.516¢
|5\9, 500¢
|13\22, 537.931¢
|8\13, 564.706¢
|11\17, 600¢
|-
|Δb
|10\19, 461.538¢
|11\23, 425.806¢
|4\9, 400¢
|9\22, 372.414¢
|5\13, 352.941¢
|6\17, 327.273¢
|-
|Δ
|11\19, 507.692¢
|8\14, 505.263¢
| 13\23, 503.226¢
|5\9, 500¢
|12\22, 496.552¢
|7\13, 494.118¢
|9\17, 490.909¢
|-
|Δ#
|12\19, 553.846¢
|9\14, 568.421¢
|15\23, 580.645¢
| rowspan="2" |6\9, 600¢
|15\22, 620.690¢
|9\13, 635.294¢
|12\17, 654.545¢
|-
|Εb
|14\19, 646.154¢
|10\14, 631.579¢
|16\23, 619.355¢
|14\22, 579.310¢
|8\13, 564.706¢
|10\17, 545.455¢
|-
|'''Ε'''
|'''15\19,''' '''692.308¢'''
|'''11\14,''' '''694.737¢'''
|'''18\23,''' '''696.774¢'''
|'''7\9,''' '''700¢'''
|'''17\22,''' '''703.448¢'''
|'''10\13,''' '''705.882¢'''
|'''13\17,''' '''709.091¢'''
|-
|Ε#
|16\19, 738.462¢
|12\14, 757.895¢
|20\23, 774.194¢
| rowspan="2" |8\9, 800¢
| 20\22, 827.586¢
| 12\13, 847.059¢
|16\17, 872.727¢
|-
|Ϛb/Ϝb
|Ϛb/Ϝb
|18\19, 830.769¢
|18\19, 830.769¢
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|14\17, 763.636¢
|14\17, 763.636¢
|-
|-
!Do, Fa, Sol
!Ϛ/Ϝ
!Ϛ/Ϝ
!19\19, 876.923¢
!19\19, 876.923¢
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!17\17, 927.273¢
!17\17, 927.273¢
|-
|-
|Do#, Fa#, Sol#
|Ϛ#/Ϝ#
|Ϛ#/Ϝ#
|20\19, 923.077¢
|20\19, 923.077¢
|15\14, 947.368¢
| 15\14, 947.368¢
|24\23, 929.032¢
|24\23, 929.032¢
| rowspan="2" |10\9, 1000¢
| rowspan="2" |10\9, 1000¢
Line 185: Line 319:
|20\17, 1090.909¢
|20\17, 1090.909¢
|-
|-
|Reb, Solb, Lab
|Ζb
|Ζb
|22\19, 1015.385¢
|22\19, 1015.385¢
Line 194: Line 327:
|18\17, 981.818¢
|18\17, 981.818¢
|-
|-
|'''Re, Sol, La'''
|'''Ζ'''
|'''Ζ'''
|'''23\19, 1061.538¢'''
|'''23\19, 1061.538¢'''
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|'''21\17,''' '''1145.455¢'''
|'''21\17,''' '''1145.455¢'''
|-
|-
|Re#, Sol#, La#
|Ζ#
|Ζ#
|24\19, 1107.692¢
|24\19, 1107.692¢
Line 214: Line 345:
|24\14, 1309.091¢
|24\14, 1309.091¢
|-
|-
|Mib, Lab, Sib
|Ηb
|Ηb
|26\19, 1200¢
|26\19, 1200¢
|19\14, 1200¢
|19\14, 1200¢
|31\23,1200¢
|31\23, 1200¢
|29\22, 1200¢
|29\22, 1200¢
|17\13, 1200¢
|17\13, 1200¢
|22\17, 1200¢
|22\17, 1200¢
|-
|-
|Mi, La, Si
|Η
|Η
|27\19, 1246.154¢
|27\19, 1246.154¢
Line 233: Line 362:
|25\17, 1363.636¢
|25\17, 1363.636¢
|-
|-
|Mi#, La#, Si#
|Η#
|Η#
|28\19, 1292.308¢
|28\19, 1292.308¢
Line 243: Line 371:
|28\17, 1527.272¢
|28\17, 1527.272¢
|-
|-
|Fab, Sibb, Dob
|Θb
|Θb
|29\19, 1338.462¢
|29\19, 1338.462¢
Line 252: Line 379:
|23\17, 1254.545¢
|23\17, 1254.545¢
|-
|-
|Fa, Sib, Do
|Θ
|Θ
|30\19, 1384.615¢
|30\19, 1384.615¢
Line 262: Line 388:
|26\17, 1418.182¢
|26\17, 1418.182¢
|-
|-
|Fa#, Si, Do#
|Θ#
|Θ#
|31\19, 1430.769¢
|31\19, 1430.769¢
Line 268: Line 393:
|38\23, 1470.968¢
|38\23, 1470.968¢
| rowspan="2" |15\9, 1500¢
| rowspan="2" |15\9, 1500¢
|37\22, 1531.0345¢
|37\22, 1531.035¢
|22\13, 1552.941¢
|22\13, 1552.941¢
|29\17, 1581.182¢
|29\17, 1581.182¢
|-
|-
|Solb, Dob,  Reb
|Ιb
|Ιb
|33\19, 1523.077¢
|33\19, 1523.077¢
Line 281: Line 405:
|27\17, 1472.727¢
|27\17, 1472.727¢
|-
|-
|'''Sol, Do, Re'''
|'''Ι'''
|'''Ι'''
|'''34\19,''' '''1569.231¢'''
|'''34\19,''' '''1569.231¢'''
Line 291: Line 414:
|'''30\17,''' '''1636.363¢'''
|'''30\17,''' '''1636.363¢'''
|-
|-
|Sol#, Do#, Re#
|Ι#
|Ι#
|35\19, 1615.385¢
|35\19, 1615.385¢
Line 301: Line 423:
|33\17, 1800¢
|33\17, 1800¢
|-
|-
|Dob, Fab, Solb
|Αb
|Αb
|37\19, 1707.692¢
|37\19, 1707.692¢
Line 310: Line 431:
|31\17, 1490.909¢
|31\17, 1490.909¢
|-
|-
!Do, Fa, Sol
!Α
!Α
!38\19, 1753.846¢
!38\19, 1753.846¢
Line 320: Line 440:
!34\17, 1854.545¢
!34\17, 1854.545¢
|}
|}
==Intervals==
==Intervals==
{| class="wikitable"
{| class="wikitable"
Line 361: Line 482:
|4
|4
|Reb, Solb, Lab
|Reb, Solb, Lab
|minor second
| minor second
| -4
| -4
|Sol#, Do#, Re#
|Sol#, Do#, Re#
Line 377: Line 498:
|6
|6
|Solb, Dob, Reb
|Solb, Dob, Reb
|diminished fifth
| diminished fifth
| -6
| -6
|Re#, Sol#, La#
|Re#, Sol#, La#
Line 383: Line 504:
|-
|-
|7
|7
|Fab, Sibb, Dob
| Fab, Sibb, Dob
|diminished fourth
|diminished fourth
| -7
| -7
Line 394: Line 515:
| -8
| -8
|Fax, Si#, Dox
|Fax, Si#, Dox
|doubly augmented fourth
| doubly augmented fourth
|}
|}
==Genchain==
==Genchain==
Line 427: Line 548:


Do
Do
|Sol
| Sol
Do
Do


Line 1,025: Line 1,146:
|}
|}


== See also ==
==See also==
[[4L 1s (5/3-equivalent)]] - idealized meantone tuning
[[4L 1s (5/3-equivalent)]] - idealized meantone tuning


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