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{{Infobox MOS|Tuning=4L 1s<5/3>}}
{{Infobox MOS|Tuning=4L 1s<5/3>}}


'''4L 1s<5/3>''' (sometimes called '''diatonic'''), is a major sixth-repeating MOS scale. The notation "<5/3>" means the period of the MOS is 5/3, disambiguating it from octave-repeating [[4L 1s]]. The name of the period interval is called the '''sextave''' (by analogy to the [[tritave]]).
{{MOS intro|Scale Signature=4L 1s<5/3>|Other names=diatonic}}The name of the period interval is called the '''sextave''' (by analogy to the [[tritave]]).
 
The generator range is 176.9 to 221.1 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 5/3 complement (663.7 to 707.5 cents).  


Because this diatonic is a major sixth-repeating scale, each tone has a 5/3 major 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 major 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.
Line 14: Line 12:
|+
|+
Normalized
Normalized
! colspan="2" |Notation
!Notation
!Supersoft
!Supersoft
!Soft
!Soft
Line 24: Line 22:
|-
|-
!Diatonic
!Diatonic
!Scala Francisci
![[19ed5/3|19ed'''5/3''']]
![[19ed5/3|19ed'''5/3''']]
![[14ed5/3|14ed'''5/3''']]
![[14ed5/3|14ed'''5/3''']]
Line 34: Line 31:
|-
|-
|Do#, Sol#
|Do#, Sol#
|Α#
|1\19, 46.545
|1\19, 46.545
|1\14, 63.168
|1\14, 63.168
Line 44: Line 40:
|-
|-
|Reb, Lab
|Reb, Lab
|Βb
|3\19, 139.636
|3\19, 139.636
|2\14, 126.337
|2\14, 126.337
Line 53: Line 48:
|-
|-
|'''Re, La'''
|'''Re, La'''
|'''Β'''
|'''4\19,''' '''186.181'''
|'''4\19,''' '''186.181'''
|'''3\14,''' '''189.505'''
|'''3\14,''' '''189.505'''
Line 63: Line 57:
|-
|-
|Re#, La#
|Re#, La#
|Β#
|5\19, 232.726
|5\19, 232.726
|4\14, 252.673
|4\14, 252.673
Line 73: Line 66:
|-
|-
|Mib, Sib
|Mib, Sib
|Γb
|7\19, 325.816
|7\19, 325.816
|5\14, 315.842
|5\14, 315.842
Line 82: Line 74:
|-
|-
|Mi, Si
|Mi, Si
|Γ
|8\19, 372.362
|8\19, 372.362
|6\14, 379.011
|6\14, 379.011
Line 92: Line 83:
|-
|-
|Mi#, Si#
|Mi#, Si#
|Γ#
|9\19, 418.906
|9\19, 418.906
| rowspan="2" |7\14, 442.179
| rowspan="2" |7\14, 442.179
Line 102: Line 92:
|-
|-
|Fab, Dob
|Fab, Dob
|10\19, 465.452
|11\23, 422.954
|4\9, 393.048
|9\22, 361.783
|5\13, 340.138
|6\17, 312.127
|-
|Fa, Do
|11\19, 511.997
|8\14, 505.348
|13\23, 499.855
|5\9, 491.310
|12\22, 482.377
|7\13, 476.193
|9\17, 468.190
|-
|Fa#, Do#
|12\19, 558.542
|9\14, 568.516
|15\23, 576.756
| rowspan="2" |6\9, 589.572
|15\22, 602.972
|9\13, 612.248
|12\17, 624.253
|-
|Solb, Reb
|14\19, 651.632
|10\14, 631.685
|16\23, 615.206
|14\22, 562.773
|8\13, 544.221
|10\17, 520.211
|-
|'''Sol, Re'''
|'''15\19,''' '''698.178'''
|'''11\14,''' '''694.853'''
|'''18\23,''' '''692.107'''
|'''7\9, 687.835'''
|'''17\22, 683.368'''
|'''10\13, 680.276'''
|'''13\17, 676.274'''
|-
|Sol#, Re#
|16\19, 744.723
|12\14, 758.022
|20\23, 769.008
| rowspan="2" |8\9, 786.096
|20\22, 803.962
|12\13, 816.331
|16\14, 832.338
|-
|Dob, Solb
|18\19, 837.814
|13\14, 821.190
|21\23, 809.458
|19\22, 763.764
|11\13, 748.304
|14\17, 728.295
|-
!Do, Sol
!19\19, 884.359
!14\14, 884.359
!23\23, 884.359
!9\9, 884.359
!22\22, 884.359
!13\13, 884.359
!17\17, 884.359
|}
{| class="wikitable"
|+
Normalized
!Notation
!Supersoft
!Soft
!Semisoft
!Basic
!Semihard
!Hard
! Superhard
|-
!Scala Francisci
![[19ed5/3|19ed'''5/3''']]
![[14ed5/3|14ed'''5/3''']]
![[23ed5/3|23ed'''5/3''']]
![[9ed5/3|9ed'''5/3''']]
![[22ed5/3|22ed'''5/3''']]
![[13ed5/3|13ed'''5/3''']]
![[17ed5/3|17ed'''5/3''']]
|-
|Α#
|1\19, 46.545
|1\14, 63.168
| 2\23, 76.901
| rowspan="2" |1\9, 98.262
|3\22, 120.594
|2\13, 136.055
|3\17, 156.063
|-
|Βb
|3\19, 139.636
|2\14, 126.337
|3\23, 115.351
|2\22, 80.396
|1\13, 68.028
|1\17, 52.021
|-
|'''Β'''
|'''4\19,''' '''186.181'''
|'''3\14,''' '''189.505'''
|'''5\23,''' '''192.252'''
|'''2\9, 196.524'''
|'''5\22,''' '''200.991'''
|'''3\13,''' '''204.083'''
|'''4\17, 208.084'''
|-
| Β#
|5\19, 232.726
|4\14, 252.673
|7\23, 269.153
| rowspan="2" |3\9, 294.786
|8\22, 321.585
|5\13, 340.138
|7\17, 364.148
|-
|Γb
|7\19, 325.816
|5\14, 315.842
|8\23, 307.603
| 7\22, 281.387
| 4\13, 272.110
|5\17, 260.106
|-
|Γ
|8\19, 372.362
|6\14, 379.011
|10\23, 384.504
|4\9, 393.048
|10\22, 401.981
|6\13, 408.166
|8\17, 416.169
|-
|Γ#
|9\19, 418.906
| rowspan="2" |7\14, 442.179
|12\23, 461.405
|5\9, 491.310
|13\22, 522.576
| 8\13, 544.221
| 11\17, 572.232
|-
|Δb
|Δb
|10\19, 465.452
|10\19, 465.452
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|6\17, 312.127
|6\17, 312.127
|-
|-
|Fa, Do
|Δ
|Δ
|11\19, 511.997
|11\19, 511.997
Line 120: Line 259:
|9\17, 468.190
|9\17, 468.190
|-
|-
|Fa#, Do#
|Δ#
|Δ#
|12\19, 558.542
|12\19, 558.542
Line 130: Line 268:
|12\17, 624.253
|12\17, 624.253
|-
|-
|Solb, Reb
|Εb
|Εb
|14\19, 651.632
|14\19, 651.632
Line 139: Line 276:
|10\17, 520.211
|10\17, 520.211
|-
|-
|'''Sol, Re'''
|'''Ε'''
|'''Ε'''
|'''15\19,''' '''698.178'''
|'''15\19,''' '''698.178'''
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|'''13\17, 676.274'''
|'''13\17, 676.274'''
|-
|-
|Sol#, Re#
|Ε#
|Ε#
|16\19, 744.723
|16\19, 744.723
Line 159: Line 294:
|16\14, 832.338
|16\14, 832.338
|-
|-
|Dob, Solb
|Ϛb/Ϝb
|Ϛb/Ϝb
|18\19, 837.814
|18\19, 837.814
Line 168: Line 302:
|14\17, 728.295
|14\17, 728.295
|-
|-
!Do, Sol
!Ϛ/Ϝ
!Ϛ/Ϝ
!19\19, 884.359
!19\19, 884.359
Line 178: Line 311:
!17\17, 884.359
!17\17, 884.359
|-
|-
|Do#, Sol#
|Ϛ#/Ϝ#
|Ϛ#/Ϝ#
|20\19, 930.903
|20\19, 930.903
Line 188: Line 320:
|20\17, 1040.422
|20\17, 1040.422
|-
|-
|Reb, Lab
|Ζb
|Ζb
|22\19, 1023.994
|22\19, 1023.994
Line 197: Line 328:
|18\17, 936.380
|18\17, 936.380
|-
|-
|'''Re, La'''
|'''Ζ'''
|'''Ζ'''
|'''23\19,''' '''1070.539'''
|'''23\19,''' '''1070.539'''
Line 207: Line 337:
|'''21\17,''' '''1092.442'''
|'''21\17,''' '''1092.442'''
|-
|-
|Re#, La#
|Ζ#
|Ζ#
|24\19, 1117.085
|24\19, 1117.085
Line 217: Line 346:
|24\14, 1248.506
|24\14, 1248.506
|-
|-
|Mib, Sib
|Ηb
|Ηb
|26\19, 1210.175
|26\19, 1210.175
Line 226: Line 354:
|22\17, 1144.464
|22\17, 1144.464
|-
|-
|Mi, Si
|Η
|Η
|27\19, 1256.720
|27\19, 1256.720
Line 236: Line 363:
|25\17, 1300.528
|25\17, 1300.528
|-
|-
|Mi#, Si#
|Η#
|Η#
|28\19, 1303.265
|28\19, 1303.265
Line 246: Line 372:
|28\17, 1456.591
|28\17, 1456.591
|-
|-
|Fab, Dob
|Θb
|Θb
|29\19, 1349.811
|29\19, 1349.811
|34\23, 1307.313
|34\23, 1307.313
|13\9, 1277.407
|13\9, 1277.407
|31\22
|31\22, 1246.142
1246.142
|18\13, 1224.497
|18\13, 1224.497
|23\17, 1196.485
|23\17, 1196.485
|-
|-
|Fa, Do
|Θ
|Θ
|30\19, 1396.356
|30\19, 1396.356
Line 266: Line 389:
|26\17, 1352.549
|26\17, 1352.549
|-
|-
|Fa#, Do#
|Θ#
|Θ#
|31\19, 1442.901
|31\19, 1442.901
Line 276: Line 398:
|29\17, 1508.612
|29\17, 1508.612
|-
|-
|Solb, Reb
|Ιb
|Ιb
|33\19, 1535.991
|33\19, 1535.991
|24\14, 1516.0435
|24\14, 1516.044
|39\23, 1499.565
|39\23, 1499.565
|36\22, 1447.132
|36\22, 1447.132
Line 285: Line 406:
|27\17, 1404.570
|27\17, 1404.570
|-
|-
|'''Sol, Re'''
|'''Ι'''
|'''Ι'''
|'''34\19,''' '''1582.537'''
|'''34\19,''' '''1582.537'''
|'''25\14,''' '''1579.212'''
|'''25\14,''' '''1579.212'''
|'''41\23,''' '''1576.4655'''
|'''41\23,''' '''1576.466'''
|'''16\9, 1572.193'''
|'''16\9, 1572.193'''
|'''39\22,''' '''1567.723'''
|'''39\22,''' '''1567.723'''
Line 295: Line 415:
|'''30\17,''' '''1560.633'''
|'''30\17,''' '''1560.633'''
|-
|-
|Sol#, Re#
|Ι#
|Ι#
|35\19, 1629.081
|35\19, 1629.081
|26\14, 1642.3805
|26\14, 1642.380
|43\23, 1653.366
|43\23, 1653.366
| rowspan="2" |17\9, 1670.455
| rowspan="2" |17\9, 1670.455
Line 305: Line 424:
|33\17, 1664.675
|33\17, 1664.675
|-
|-
|Dob, Solb
|Αb
|Αb
|37\19, 1722.172
|37\19, 1722.172
Line 314: Line 432:
|31\17, 1612.654
|31\17, 1612.654
|-
|-
!Do, Sol
!Α
!Α
!38\19, 1768.717
!38\19, 1768.717
Line 324: Line 441:
!34\17, 1768.717
!34\17, 1768.717
|}
|}
==Intervals==
 
== Intervals ==
{| class="wikitable"
{| class="wikitable"
!Generators
!Generators
Line 354: Line 472:
| -2
| -2
|Mi, Si
|Mi, Si
|major third  
|major third
|-
|-
|3
|3
|Mib, Sib
|Mib, Sib
|minor third  
|minor third
| -3
| -3
|Fa#, Do#
|Fa#, Do#
Line 377: Line 495:
| -5
| -5
|Do#, Sol#
|Do#, Sol#
|augmented unison (chroma)  
|augmented unison (chroma)
|-
|-
|6
|6
Line 384: Line 502:
| -6
| -6
|Re#, La#
|Re#, La#
|augmented second  
|augmented second
|-
|-
|7
|7
Line 391: Line 509:
| -7
| -7
|Mi#, Si#
|Mi#, Si#
|augmented third  
|augmented third
|-
|-
|8
|8
Line 525: Line 643:


[[Optimal ET sequence]]: [[5ed5/3]], [[9ed5/3]], [[14ed5/3]]
[[Optimal ET sequence]]: [[5ed5/3]], [[9ed5/3]], [[14ed5/3]]
====Scale tree====
==Scale tree==
The spectrum looks like this:
The spectrum looks like this:
{{Scale tree | 4L 1s<5/3>}}
{{MOS tuning spectrum|Scale Signature=4L 1s<5/3>}}
 
== See also ==
[[8L 2s (72/25-equivalent)]] - 8/1 complement of Scala Francisci
Retrieved from "https://en.xen.wiki/w/User:Moremajorthanmajor/4L_1s_(5/3-equivalent)"