3L 2s (3/2-equivalent): Difference between revisions
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'''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. | '''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. | ||
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110.835 | 110.835 | ||
|2\11 | |2\11 | ||
127.6282 | |||
|3\14 | |3\14 | ||
150.4189 | |||
|- | |- | ||
|Bb | |Bb | ||
|Βb | |Βb | ||
|3\18 | |3\18 | ||
116.9925 | |||
|2\13 | |2\13 | ||
107.9931 | |||
|3\21 | |3\21 | ||
100.2793 | |||
|2\19 | |2\19 | ||
73.89 | 73.89 | ||
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155.99 | 155.99 | ||
|3\13 | |3\13 | ||
161.9896 | |||
|5\21 | |5\21 | ||
167.1321 | |||
|2\8 | |2\8 | ||
175.48875 | 175.48875 | ||
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184.725 | 184.725 | ||
|3\11 | |3\11 | ||
191.4423 | |||
|4\14 | |4\14 | ||
200.5586 | |||
|- | |- | ||
|B# | |B# | ||
|Β# | |Β# | ||
|5\18 | |5\18 | ||
194.9875 | |||
| rowspan="2" |4\13 | | rowspan="2" |4\13 | ||
215.9862 | |||
|7\21 | |7\21 | ||
233.985 | 233.985 | ||
|3\8 | |3\8 | ||
263.2331 | |||
|8\19 | |8\19 | ||
295.56 | 295.56 | ||
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319.07045 | 319.07045 | ||
|7\14 | |7\14 | ||
350.9775 | |||
|- | |- | ||
|Cb | |Cb | ||
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233.985 | 233.985 | ||
|6\21 | |6\21 | ||
200.5586 | |||
|2\8 | |2\8 | ||
175.48875 | 175.48875 | ||
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147.78 | 147.78 | ||
|2\11 | |2\11 | ||
127.6282 | |||
|2\14 | |2\14 | ||
100.2793 | |||
|- | |- | ||
|'''C''' | |'''C''' | ||
|'''Γ''' | |'''Γ''' | ||
|'''7\18''' | |'''7\18''' | ||
''' | '''272.9825''' | ||
|'''5\13''' | |'''5\13''' | ||
''' | '''269.9829''' | ||
|'''8\21''' | |'''8\21''' | ||
''' | '''267.4114''' | ||
|'''3\8''' | |'''3\8''' | ||
''' | '''263.2331''' | ||
|'''7\19''' | |'''7\19''' | ||
'''258.615''' | '''258.615''' | ||
|'''4\11''' | |'''4\11''' | ||
''' | '''255.2564''' | ||
|'''5\14''' | |'''5\14''' | ||
''' | '''250.6982''' | ||
|- | |- | ||
|C# | |C# | ||
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311.98 | 311.98 | ||
|6\13 | |6\13 | ||
323.9792 | |||
|10\21 | |10\21 | ||
334.2643 | |||
| rowspan="2" |4\8 | | rowspan="2" |4\8 | ||
350.9775 | |||
|9\19 | |9\19 | ||
332.505 | 332.505 | ||
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382.88455 | 382.88455 | ||
|8\14 | |8\14 | ||
401.1171 | |||
|- | |- | ||
|Db | |Db | ||
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389.975 | 389.975 | ||
|7\13 | |7\13 | ||
377.9758 | |||
|11\21 | |11\21 | ||
367.9607 | |||
|10\19 | |10\19 | ||
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319.07045 | 319.07045 | ||
|6\14 | |6\14 | ||
300.8379 | |||
|- | |- | ||
|'''D''' | |'''D''' | ||
|'''Δ''' | |'''Δ''' | ||
|'''11\18''' | |'''11\18''' | ||
''' | '''428.9725''' | ||
|'''8\13''' | |'''8\13''' | ||
''' | '''431.9723''' | ||
|'''13\21''' | |'''13\21''' | ||
''' | '''434.5436''' | ||
|'''5\8''' | |'''5\8''' | ||
''' | '''438.7219''' | ||
|'''12\19''' | |'''12\19''' | ||
'''470.285''' | '''470.285''' | ||
|'''7\11''' | |'''7\11''' | ||
''' | '''446.6986''' | ||
|'''9\14''' | |'''9\14''' | ||
''' | '''451.2568''' | ||
|- | |- | ||
|D# | |D# | ||
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467.97 | 467.97 | ||
|9\13 | |9\13 | ||
485.9688 | |||
|15\21 | |15\21 | ||
501.3964 | |||
| rowspan="2" |6\8 | | rowspan="2" |6\8 | ||
526.46625 | 526.46625 | ||
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554.175 | 554.175 | ||
|9\11 | |9\11 | ||
574.3268 | |||
|12\14 | |12\14 | ||
601.6757 | |||
|- | |- | ||
|Eb | |Eb | ||
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545.965 | 545.965 | ||
|10\13 | |10\13 | ||
539.9653 | |||
|16\21 | |16\21 | ||
534.8229 | |||
|14\19 | |14\19 | ||
516.23 | 516.23 | ||
|8\11 | |8\11 | ||
510.5128 | |||
|10\14 | |10\14 | ||
501.3964 | |||
|- | |- | ||
|E | |E | ||
|Ε | |Ε | ||
|15\18 | |15\18 | ||
584.9625 | |||
|11\13 | |11\13 | ||
593.9619 | |||
|18\21 | |18\21 | ||
601.6757 | |||
|7\8 | |7\8 | ||
614.2106 | |||
|17\19 | |17\19 | ||
628.065 | 628.065 | ||
|10\11 | |10\11 | ||
638.1409 | |||
|13\14 | |13\14 | ||
651.8154 | |||
|- | |- | ||
|E# | |E# | ||
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622.96 | 622.96 | ||
| rowspan="2" |12\13 | | rowspan="2" |12\13 | ||
646.9585 | |||
|20\21 | |20\21 | ||
668.5286 | |||
|8\8 | |8\8 | ||
701.955 | 701.955 | ||
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765.769 | 765.769 | ||
|16\14 | |16\14 | ||
802.2343 | |||
|- | |- | ||
|Ab | |Ab | ||
|Ϛb/Ϝb | |Ϛb/Ϝb | ||
|17\18 | |17\18 | ||
662.9575 | |||
|19\21 | |19\21 | ||
635.1021 | |||
|7\8 | |7\8 | ||
614.2106 | |||
|16\19 | |16\19 | ||
591.12 | 591.12 | ||
|9\11 | |9\11 | ||
574.3268 | |||
|11\14 | |11\14 | ||
551.636 | 551.636 | ||
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|Ϛ#/Ϝ# | |Ϛ#/Ϝ# | ||
|19\18 | |19\18 | ||
740.9525 | |||
|14\13 | |14\13 | ||
754.9515 | |||
|23\21 | |23\21 | ||
768.8021 | |||
| rowspan="2" |9\8 | | rowspan="2" |9\8 | ||
789.6994 | |||
|22\19 | |22\19 | ||
812.79 | 812.79 | ||
|13\11 | |13\11 | ||
829.5832 | |||
|17\14 | |17\14 | ||
852.3739 | |||
|- | |- | ||
|Bb | |Bb | ||
|Ζb | |Ζb | ||
|21\18 | |21\18 | ||
818.9475 | |||
|15\13 | |15\13 | ||
809.9481 | |||
|24\21 | |24\21 | ||
802.2343 | |||
|21\19 | |21\19 | ||
775.845 | 775.845 | ||
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765.769 | 765.769 | ||
|15\14 | |15\14 | ||
752.0946 | |||
|- | |- | ||
|B | |B | ||
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857.945 | 857.945 | ||
|16\13 | |16\13 | ||
862.9446 | |||
|26\21 | |26\21 | ||
868.0871 | |||
|10\8 | |10\8 | ||
877.44375 | 877.44375 | ||
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886.68 | 886.68 | ||
|14\11 | |14\11 | ||
893.3973 | |||
|18\14 | |18\14 | ||
902.5136 | |||
|- | |- | ||
|B# | |B# | ||
|Ζ# | |Ζ# | ||
|23\18 | |23\18 | ||
896.9425 | |||
| rowspan="2" |17\13 | | rowspan="2" |17\13 | ||
917.9412 | |||
|28\21 | |28\21 | ||
935.9406 | |||
|11\8 | |11\8 | ||
965.1881 | |||
|27\19 | |27\19 | ||
997.515 | 997.515 | ||
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935.94 | 935.94 | ||
|27\21 | |27\21 | ||
902.5136 | |||
|10\8 | |10\8 | ||
877.44375 | 877.44375 | ||
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849.753 | 849.753 | ||
|13\11 | |13\11 | ||
829.5832 | |||
|16\14 | |16\14 | ||
802.2343 | |||
|- | |- | ||
|'''C''' | |'''C''' | ||
|'''Η''' | |'''Η''' | ||
|'''25\18''' | |'''25\18''' | ||
''' | '''974.9375''' | ||
|'''18\13''' | |'''18\13''' | ||
''' | '''971.9379''' | ||
|'''29\21''' | |'''29\21''' | ||
''' | '''969.3664''' | ||
|'''11\8''' | |'''11\8''' | ||
''' | '''965.1881''' | ||
|'''26\19''' | |'''26\19''' | ||
'''960.57''' | '''960.57''' | ||
|'''15\11''' | |'''15\11''' | ||
''' | '''957.2114''' | ||
|'''19\14''' | |'''19\14''' | ||
''' | '''952.6532''' | ||
|- | |- | ||
|C# | |C# | ||
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[[Comma]] list: [[245/243]] | [[Comma]] list: [[245/243]] | ||
[[POL2]] generator: ~7/6 = | [[POL2]] generator: ~7/6 = 262.1728 | ||
[[Mapping]]: [{{val|1 1 3}}, {{val|0 1 -2}}] | [[Mapping]]: [{{val|1 1 3}}, {{val|0 1 -2}}] | ||
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[[Comma]] list: [[245/243]], [[100/99]] | [[Comma]] list: [[245/243]], [[100/99]] | ||
[[POL2]] generator: ~7/6 = | [[POL2]] generator: ~7/6 = 264.3771 | ||
[[Mapping]]: [{{val|1 1 3 4}}, {{val|0 1 -2 -4}}] | [[Mapping]]: [{{val|1 1 3 4}}, {{val|0 1 -2 -4}}] | ||
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[[Comma]] list: [[245/243]], [[441/440]] | [[Comma]] list: [[245/243]], [[441/440]] | ||
[[POL2]] generator: ~7/6 = | [[POL2]] generator: ~7/6 = 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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| | | | ||
| | | | ||
| | |430.2305 | ||
|271.7255 | |||
|7 | |7 | ||
|5 | |5 | ||
Line 1,037: | Line 1,037: | ||
| | | | ||
| | | | ||
| | |444.5715 | ||
|257.3835 | |||
|8 | |8 | ||
|3 | |3 |