User:Moremajorthanmajor/Greater whole tone scale: Difference between revisions
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'''5L 1s(< | '''5L 1s(<11/6>)''' refers to [[MOS scale]]s with 5 large steps and 1 small step. When L=s we have [[6edo|6edo]], the equal-tempered "whole tone scale" of impressionistic fame. At the other end of the spectrum, we approach [[5edo]], with five equal whole tones of 240 cents. In between, we find relatively even hexatonic scales with one irregularity: a "whole tone" which is smaller than all the others — perhaps not a "whole tone" at all. | ||
The only notable low-harmonic-entropy scale with this MOS pattern is [[Gamelismic clan #Slendric|slendric]], in which the large step is 8/7 and three of them make a 3/2. Other low-harmonic-entropy scales with this MOS pattern tune the seventh (septave) 1080¢ or flatter for making a quarter 3/2. | The only notable low-harmonic-entropy scale with this MOS pattern is [[Gamelismic clan #Slendric|slendric]], in which the large step is 8/7 and three of them make a 3/2. Other low-harmonic-entropy scales with this MOS pattern tune the seventh (septave) 1080¢ or flatter for making a quarter 3/2. | ||
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| || || || 5\29 || || || || || ''189.655'' || 181.818 || 206.897 || 5 || 4 || 1.250 || | | || || || 5\29 || || || || || ''189.655'' || 181.818 || 206.897 || 5 || 4 || 1.250 || | ||
|- | |- | ||
| || || || || || 14\81 || || || ''190.1235''|| 182.609 || 207.407 || 14 || 11 || 1.273 || | | || || || || || 14\81 || || || ''[[Tel:190.1235|190.1235]]''|| 182.609 || 207.407 || 14 || 11 || 1.273 || | ||
|- | |- | ||
| || || || || 9\52 || || || ||''190.385'' || 183.051 || 207.692 || 9 || 7 || 1.286 || | | || || || || 9\52 || || || ||''190.385'' || 183.051 || 207.692 || 9 || 7 || 1.286 || | ||
| Line 38: | Line 38: | ||
| || || 4\23 || || || || || || ''191.304''|| 184.615 || 208.696 || 4 || 3 || 1.333 || | | || || 4\23 || || || || || || ''191.304''|| 184.615 || 208.696 || 4 || 3 || 1.333 || | ||
|- | |- | ||
| || || || || 11\63 || || || ||''192.0635'' ||185.9155 || 209.524 || 11 || 8 || 1.375 || | | || || || || 11\63 || || || ||''[[Tel:192.0635|192.0635]]'' ||[[Tel:185.9155|185.9155]] || 209.524 || 11 || 8 || 1.375 || | ||
|- | |- | ||
| || || || 7\40 || || || || ||''192.500'' ||186.667 || 210.000 || 7 || 5 || 1.400 || | | || || || 7\40 || || || || ||''192.500'' ||186.667 || 210.000 || 7 || 5 || 1.400 || | ||
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| || || || || 10\57 || || || ||''192.9825'' || 187.500|| 210.528 || 10 || 7 || 1.428 || | | || || || || 10\57 || || || ||''[[Tel:192.9825|192.9825]]'' || 187.500|| 210.528 || 10 || 7 || 1.428 || | ||
|- | |- | ||
| || || || || ||13\74 || || || ''193.243''|| 187.952|| 210.811 || 13 || 9 || 1.444 || | | || || || || ||13\74 || || || ''193.243''|| 187.952|| 210.811 || 13 || 9 || 1.444 || | ||
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| || || || || || || 13\72 || ||''198.611'' || 197.468|| 216.667 || 13 || 7 || 1.857 || | | || || || || || || 13\72 || ||''198.611'' || 197.468|| 216.667 || 13 || 7 || 1.857 || | ||
|- | |- | ||
| || || || || || || || 15\83 ||''198.795'' || 197.802|| 216.8675 || 15 || 8 || 1.875 || | | || || || || || || || 15\83 ||''198.795'' || 197.802|| [[Tel:216.8675|216.8675]] || 15 || 8 || 1.875 || | ||
|- | |- | ||
| 2\11 || || || || || || || || ''200.000''|| 200.000 || 218.182 || 2 || 1 || 2.000 || Basic Ionianic-machinoid | | 2\11 || || || || || || || || ''200.000''|| 200.000 || 218.182 || 2 || 1 || 2.000 || Basic Ionianic-machinoid | ||
|- | |- | ||
| || || || || || || || 15\82 ||''201.2195'' || 202.247|| 219.512 || 15 || 7 || 2.143 || | | || || || || || || || 15\82 ||''[[Tel:201.2195|201.2195]]'' || 202.247|| 219.512 || 15 || 7 || 2.143 || | ||
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| || || || || || || 13\71 || ||''201.4085'' || 202.597|| 219.718 || 13 || 6 || 2.167 || | | || || || || || || 13\71 || ||''[[Tel:201.4085|201.4085]]'' || 202.597|| 219.718 || 13 || 6 || 2.167 || | ||
|- | |- | ||
| || || || || || 11\60 || || ||''201.667'' || 203.077|| 220.000 || 11 || 5 || 2.200 || | | || || || || || 11\60 || || ||''201.667'' || 203.077|| 220.000 || 11 || 5 || 2.200 || | ||
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| || || || || 11\58 || || || ||''208.621'' ||216.393 || 227.586 || 11 || 3 || 3.667 || | | || || || || 11\58 || || || ||''208.621'' ||216.393 || 227.586 || 11 || 3 || 3.667 || | ||
|- | |- | ||
| || || || || || 15\79 || || ||''208.861'' ||216.8675 || 227.848 || 15 || 4 || 3.750 || | | || || || || || 15\79 || || ||''208.861'' ||[[Tel:216.8675|216.8675]] || 227.848 || 15 || 4 || 3.750 || | ||
|- | |- | ||
| || || || || || || 19\100 || ||''209.000'' ||217.143 || 228.000 || 19 || 5 || 3.800 || | | || || || || || || 19\100 || ||''209.000'' ||217.143 || 228.000 || 19 || 5 || 3.800 || | ||
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| || || || || || 14\73 || || ||''210.959'' || 221.053|| 230.137 || 14 || 3 || 4.667 || | | || || || || || 14\73 || || ||''210.959'' || 221.053|| 230.137 || 14 || 3 || 4.667 || | ||
|- | |- | ||
| || || || 5\26 || || || || || ''211.5385''|| 222.222|| 230.769 || 5 || 1 || 5.000 || Ionianic-Gidorah | | || || || 5\26 || || || || || ''[[Tel:211.5385|211.5385]]''|| 222.222|| 230.769 || 5 || 1 || 5.000 || Ionianic-Gidorah | ||
|- | |- | ||
| || || || || || || 11\57 || || ''212.281''|| 223.729|| 231.579 || 11 || 2 || 5.500 || | | || || || || || || 11\57 || || ''212.281''|| 223.729|| 231.579 || 11 || 2 || 5.500 || | ||