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3L 2s (3/2-equivalent): Difference between revisions

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| Pattern = LLsLs
| Pattern = LLsLs
}}
}}
'''3L 2s<3/2>''' (sometimes called '''uranian'''), is a fifth-repeating MOS scale. The notation "<3/2>" means the period of the MOS is 3/2, disambiguating it from octave-repeating [[3L 2s]]. The name of the period interval is called the '''sesquitave''' (by analogy to the [[tritave]]).  
'''3L 2s<3/2>''' (sometimes called '''uranian'''), is a fifth-repeating MOS scale. The notation "<3/2>" means the period of the MOS is 3/2, disambiguating it from octave-repeating [[3L 2s]]. The name of the period interval is called the '''sesquitave''' (by analogy to the [[tritave]]). It is a [[Warped diatonic|warped diatonic scale]] because it has one extra small step compared to diatonic ([[3L 1s (fifth-equivalent)]]): for example, the Ionian diatonic fifth LLsL can be distorted to the Oberonan mode LsLLs.  


The generator range is 234 to 280.8 cents, placing it in between the [[9/8|diatonic major second]] and the [[6/5|diatonic minor third]], usually representing a subminor third of some type (like [[7/6]]). The bright (chroma-positive) generator is, however, its fifth complement (468 to 421.2 cents).  
The generator range is 234 to 280.8 cents, placing it in between the [[9/8|diatonic major second]] and the [[6/5|diatonic minor third]], usually representing a subminor third of some type (like [[7/6]]). The bright (chroma-positive) generator is, however, its fifth complement (468 to 421.2 cents).  
Line 52: Line 52:
110.835
110.835
|2\11
|2\11
127.6282
[[Tel:127.6282|127.6282]]
|3\14
|3\14
150.4189
[[Tel:150.4189|150.4189]]
|-
|-
|Bb
|Bb
|Βb
|Βb
|3\18
|3\18
116.9925
[[Tel:116.9925|116.9925]]
|2\13
|2\13
107.9931
[[Tel:107.9931|107.9931]]
|3\21
|3\21
100.2793
[[Tel:100.2793|100.2793]]
|2\19
|2\19
73.89
73.89
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155.99
155.99
|3\13
|3\13
161.9896
[[Tel:161.9896|161.9896]]
|5\21
|5\21
167.1321
[[Tel:167.1321|167.1321]]
|2\8
|2\8
175.48875
175.48875
Line 84: Line 84:
184.725
184.725
|3\11
|3\11
191.4423
[[Tel:191.4423|191.4423]]
|4\14
|4\14
200.5586
[[Tel:200.5586|200.5586]]
|-
|-
|B#
|B#
|Β#
|Β#
|5\18
|5\18
194.9875
[[Tel:194.9875|194.9875]]
| rowspan="2" |4\13
| rowspan="2" |4\13
215.9862
[[Tel:215.9862|215.9862]]
|7\21
|7\21
233.9851
[[Tel:233.9851|233.9851]]
|3\8
|3\8
263.2331
[[Tel:263.2331|263.2331]]
|8\19
|8\19
295.56
295.56
Line 103: Line 103:
319.07045
319.07045
|7\14
|7\14
350.9775
[[Tel:350.9775|350.9775]]
|-
|-
|Cb
|Cb
Line 110: Line 110:
233.985
233.985
|6\21
|6\21
200.5586
[[Tel:200.5586|200.5586]]
|2\8
|2\8
175.48875
175.48875
Line 116: Line 116:
147.78
147.78
|2\11
|2\11
127.6282
[[Tel:127.6282|127.6282]]
|2\14
|2\14
100.2793
[[Tel:100.2793|100.2793]]
|-
|-
|'''C'''
|'''C'''
|'''Γ'''
|'''Γ'''
|'''7\18'''
|'''7\18'''
'''272.9825'''
'''[[Tel:272.9825|272.9825]]'''
|'''5\13'''
|'''5\13'''
'''269.9829'''
'''[[Tel:269.9829|269.9829]]'''
|'''8\21'''
|'''8\21'''
'''267.4114'''
'''[[Tel:267.4114|267.4114]]'''
|'''3\8'''
|'''3\8'''
'''263.2331'''
'''[[Tel:263.2331|263.2331]]'''
|'''7\19'''
|'''7\19'''
'''258.615'''
'''258.615'''
|'''4\11'''
|'''4\11'''
'''255.2564'''
'''[[Tel:255.2564|255.2564]]'''
|'''5\14'''
|'''5\14'''
'''250.6982'''
'''[[Tel:250.6982|250.6982]]'''
|-
|-
|C#
|C#
Line 142: Line 142:
311.98
311.98
|6\13
|6\13
323.9792
[[Tel:323.9792|323.9792]]
|10\21
|10\21
334.2643
[[Tel:334.2643|334.2643]]
| rowspan="2" |4\8
| rowspan="2" |4\8
350.9775
[[Tel:350.9775|350.9775]]
|9\19
|9\19
332.505
332.505
Line 152: Line 152:
382.88455
382.88455
|8\14
|8\14
401.1171
[[Tel:401.1171|401.1171]]
|-
|-
|Db
|Db
Line 159: Line 159:
389.975
389.975
|7\13
|7\13
377.9758
[[Tel:377.9758|377.9758]]
|11\21
|11\21
367.9607
[[Tel:367.9607|367.9607]]
|10\19
|10\19


Line 168: Line 168:
319.07045
319.07045
|6\14
|6\14
300.8379
[[Tel:300.8379|300.8379]]
|-
|-
|'''D'''
|'''D'''
|'''Δ'''
|'''Δ'''
|'''11\18'''
|'''11\18'''
'''428.9725'''
'''[[Tel:428.9725|428.9725]]'''
|'''8\13'''
|'''8\13'''
'''431.9723'''
'''[[Tel:431.9723|431.9723]]'''
|'''13\21'''
|'''13\21'''
'''434.5436'''
'''[[Tel:434.5436|434.5436]]'''
|'''5\8'''
|'''5\8'''
'''438.7219'''
'''[[Tel:438.7219|438.7219]]'''
|'''12\19'''
|'''12\19'''
'''470.285'''
'''470.285'''
|'''7\11'''
|'''7\11'''
'''446.6986'''
'''[[Tel:446.6986|446.6986]]'''
|'''9\14'''
|'''9\14'''
'''451.2568'''
'''[[Tel:451.2568|451.2568]]'''
|-
|-
|D#
|D#
Line 192: Line 192:
467.97
467.97
|9\13
|9\13
485.9688
[[Tel:485.9688|485.9688]]
|15\21
|15\21
501.3964
[[Tel:501.3964|501.3964]]
| rowspan="2" |6\8
| rowspan="2" |6\8
526.46625
526.46625
Line 200: Line 200:
554.175
554.175
|9\11
|9\11
574.3268
[[Tel:574.3268|574.3268]]
|12\14
|12\14
601.6757
[[Tel:601.6757|601.6757]]
|-
|-
|Eb
|Eb
Line 209: Line 209:
545.965
545.965
|10\13
|10\13
539.9653
[[Tel:539.9653|539.9653]]
|16\21
|16\21
534.8229
[[Tel:534.8229|534.8229]]
|14\19
|14\19
516.23
516.23
|8\11
|8\11
510.5128
[[Tel:510.5128|510.5128]]
|10\14
|10\14
501.3964
[[Tel:501.3964|501.3964]]
|-
|-
|E
|E
|Ε
|Ε
|15\18
|15\18
584.9625
[[Tel:584.9625|584.9625]]
|11\13
|11\13
593.9619
[[Tel:593.9619|593.9619]]
|18\21
|18\21
601.6757
[[Tel:601.6757|601.6757]]
|7\8
|7\8
614.2106
[[Tel:614.2106|614.2106]]
|17\19
|17\19
628.065
628.065
|10\11
|10\11
638.1409
[[Tel:638.1409|638.1409]]
|13\14
|13\14
651.8154
[[Tel:651.8154|651.8154]]
|-
|-
|E#
|E#
Line 241: Line 241:
622.96
622.96
| rowspan="2" |12\13
| rowspan="2" |12\13
646.9585
[[Tel:646.9585|646.9585]]
|20\21
|20\21
668.5286
[[Tel:668.5286|668.5286]]
|8\8
|8\8
701.955
701.955
Line 251: Line 251:
765.769
765.769
|16\14
|16\14
802.2343
[[Tel:802.2343|802.2343]]
|-
|-
|Ab
|Ab
|Ϛb/Ϝb
|Ϛb/Ϝb
|17\18
|17\18
662.9575
[[Tel:662.9575|662.9575]]
|19\21
|19\21
635.1021
[[Tel:635.1021|635.1021]]
|7\8
|7\8
614.2106
[[Tel:614.2106|614.2106]]
|16\19
|16\19
591.12
591.12
|9\11
|9\11
574.3268
[[Tel:574.3268|574.3268]]
|11\14
|11\14
551.636
551.636
Line 275: Line 275:
|Ϛ#/Ϝ#
|Ϛ#/Ϝ#
|19\18
|19\18
740.9525
[[Tel:740.9525|740.9525]]
|14\13
|14\13
754.9515
[[Tel:754.9515|754.9515]]
|23\21
|23\21
768.8021
[[Tel:768.8021|768.8021]]
| rowspan="2" |9\8
| rowspan="2" |9\8
789.6994
[[Tel:789.6994|789.6994]]
|22\19
|22\19
812.79
812.79
|13\11
|13\11
829.5832
[[Tel:829.5832|829.5832]]
|17\14
|17\14
852.3739
[[Tel:852.3739|852.3739]]
|-
|-
|Bb
|Bb
|Ζb
|Ζb
|21\18
|21\18
818.9475
[[Tel:818.9475|818.9475]]
|15\13
|15\13
809.9481
[[Tel:809.9481|809.9481]]
|24\21
|24\21
802.2343
[[Tel:802.2343|802.2343]]
|21\19
|21\19
775.845
775.845
Line 302: Line 302:
765.769
765.769
|15\14
|15\14
752.0946
[[Tel:752.0946|752.0946]]
|-
|-
|B
|B
Line 309: Line 309:
857.945
857.945
|16\13
|16\13
862.9446
[[Tel:862.9446|862.9446]]
|26\21
|26\21
868.0871
[[Tel:868.0871|868.0871]]
|10\8
|10\8
877.44375
877.44375
Line 317: Line 317:
886.68
886.68
|14\11
|14\11
893.3973
[[Tel:893.3973|893.3973]]
|18\14
|18\14
902.5136
[[Tel:902.5136|902.5136]]
|-
|-
|B#
|B#
|Ζ#
|Ζ#
|23\18
|23\18
896.9425
[[Tel:896.9425|896.9425]]
| rowspan="2" |17\13
| rowspan="2" |17\13
917.9412
[[Tel:917.9412|917.9412]]
|28\21
|28\21
935.9406
[[Tel:935.9406|935.9406]]
|11\8
|11\8
965.1881
[[Tel:965.1881|965.1881]]
|27\19
|27\19
997.515
997.515
Line 343: Line 343:
935.94
935.94
|27\21
|27\21
902.3156
[[Tel:902.3156|902.3156]]
|10\8
|10\8
877.44375
877.44375
Line 349: Line 349:
849.753
849.753
|13\11
|13\11
829.5832
[[Tel:829.5832|829.5832]]
|16\14
|16\14
802.2343
[[Tel:802.2343|802.2343]]
|-
|-
|'''C'''
|'''C'''
|'''Η'''
|'''Η'''
|'''25\18'''
|'''25\18'''
'''974.9375'''
'''[[Tel:974.9375|974.9375]]'''
|'''18\13'''
|'''18\13'''
'''971.9379'''
'''[[Tel:971.9379|971.9379]]'''
|'''29\21'''
|'''29\21'''
'''969.3664'''
'''[[Tel:969.3664|969.3664]]'''
|'''11\8'''
|'''11\8'''
'''965.1881'''
'''[[Tel:965.1881|965.1881]]'''
|'''26\19'''
|'''26\19'''
'''960.57'''
'''960.57'''
|'''15\11'''
|'''15\11'''
'''957.2114'''
'''[[Tel:957.2114|957.2114]]'''
|'''19\14'''
|'''19\14'''
'''952.6532'''
'''[[Tel:952.6532|952.6532]]'''
|-
|-
|C#
|C#
Line 679: Line 679:
[[Comma]] list: [[245/243]]
[[Comma]] list: [[245/243]]


[[POL2]] generator: ~7/6 = 262.1728
[[POL2]] generator: ~7/6 = [[Tel:262.1728|262.1728]]


[[Mapping]]: [{{val|1 1 3}}, {{val|0 1 -2}}]
[[Mapping]]: [{{val|1 1 3}}, {{val|0 1 -2}}]
Line 689: Line 689:
[[Comma]] list: [[245/243]], [[100/99]]
[[Comma]] list: [[245/243]], [[100/99]]


[[POL2]] generator: ~7/6 = 264.3771
[[POL2]] generator: ~7/6 = [[Tel:264.3771|264.3771]]


[[Mapping]]: [{{val|1 1 3 4}}, {{val|0 1 -2 -4}}]
[[Mapping]]: [{{val|1 1 3 4}}, {{val|0 1 -2 -4}}]
Line 699: Line 699:
[[Comma]] list: [[245/243]], [[441/440]]
[[Comma]] list: [[245/243]], [[441/440]]


[[POL2]] generator: ~7/6 = 261.5939
[[POL2]] generator: ~7/6 = [[Tel:261.5939|261.5939]]


[[Mapping]]: [{{val|1 1 3 1}}, {{val|0 1 -2 4}}]
[[Mapping]]: [{{val|1 1 3 1}}, {{val|0 1 -2 4}}]
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