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46edo: Difference between revisions

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Line 21: Line 21:
! | solfege
! | solfege
! | cents value
! | cents value
!pions
!7mus
! | approximate ratios
! | approximate ratios


Line 28: Line 30:
| style="text-align:center;" | 0
| style="text-align:center;" | 0
| style="text-align:center;" | do
| style="text-align:center;" | do
| | 0.000
| colspan="3"| 0.000
| | 1/1
| | 1/1
| style="text-align:center;" | perfect unison
| style="text-align:center;" | perfect unison
Line 37: Line 39:
| style="text-align:center;" | di
| style="text-align:center;" | di
| | 26.087
| | 26.087
|27.652
|33.391 (21.643<sub>16</sub>)
| |  
| |  
| style="text-align:center;" | up unison
| style="text-align:center;" | up unison
Line 45: Line 49:
| style="text-align:center;" | ro
| style="text-align:center;" | ro
| | 52.174
| | 52.174
|55.304
|66.783 (42.C86<sub>16</sub>)
| |  
| |  
| style="text-align:center;" | downminor 2nd
| style="text-align:center;" | downminor 2nd
Line 53: Line 59:
| style="text-align:center;" | rih
| style="text-align:center;" | rih
| | 78.261
| | 78.261
|82.9565
|100.174 (64.2C8<sub>16</sub>)
| |  
| |  
| style="text-align:center;" | minor 2nd
| style="text-align:center;" | minor 2nd
Line 61: Line 69:
| style="text-align:center;" | ra
| style="text-align:center;" | ra
| | 104.348
| | 104.348
|110.609
|133.565 (85.90B<sub>16</sub>)
| | 16/15, 17/16, 18/17
| | 16/15, 17/16, 18/17
| style="text-align:center;" | upminor 2nd
| style="text-align:center;" | upminor 2nd
Line 69: Line 79:
| style="text-align:center;" | ru (as in supraminor)
| style="text-align:center;" | ru (as in supraminor)
| | 130.435
| | 130.435
|138.261
|166.9565 (A6.F4E<sub>16</sub>)
| | 13/12, 14/13, 15/14
| | 13/12, 14/13, 15/14
| style="text-align:center;" | downmid 2nd
| style="text-align:center;" | downmid 2nd
Line 77: Line 89:
| style="text-align:center;" | ruh (as in submajor)
| style="text-align:center;" | ruh (as in submajor)
| | 156.522
| | 156.522
|165.913
|200.348 (C8.591<sub>16</sub>)
| | 12/11, 11/10
| | 12/11, 11/10
| style="text-align:center;" | upmid 2nd
| style="text-align:center;" | upmid 2nd
Line 85: Line 99:
| style="text-align:center;" | reh
| style="text-align:center;" | reh
| | 182.609
| | 182.609
|193.565
|233.739 (E9.BD38<sub>16</sub>)
| | 10/9
| | 10/9
| style="text-align:center;" | downmajor 2nd
| style="text-align:center;" | downmajor 2nd
Line 93: Line 109:
| style="text-align:center;" | re
| style="text-align:center;" | re
| | 208.696
| | 208.696
|221.217
|267.13 (10B.216<sub>16</sub>)
| | 9/8, 17/15
| | 9/8, 17/15
| style="text-align:center;" | major 2nd
| style="text-align:center;" | major 2nd
Line 101: Line 119:
| style="text-align:center;" | ri
| style="text-align:center;" | ri
| | 234.783
| | 234.783
|248.87
|300.522 (12C.859<sub>16</sub>)
| | 8/7, 15/13*
| | 8/7, 15/13*
| style="text-align:center;" | upmajor 2nd
| style="text-align:center;" | upmajor 2nd
Line 108: Line 128:
| style="text-align:center;" | 10
| style="text-align:center;" | 10
| style="text-align:center;" | ma
| style="text-align:center;" | ma
| | 260.870
| | 260.87
|276.522
|333.913 (14D.E9C<sub>16</sub>)
| | 7/6, 15/13*
| | 7/6, 15/13*
| style="text-align:center;" | downminor 3rd
| style="text-align:center;" | downminor 3rd
Line 117: Line 139:
| style="text-align:center;" | meh
| style="text-align:center;" | meh
| | 286.957
| | 286.957
|304.174
|367.304 (16F.4DF<sub>16</sub>)
| | 13/11, 20/17
| | 13/11, 20/17
| style="text-align:center;" | minor 3rd
| style="text-align:center;" | minor 3rd
Line 125: Line 149:
| style="text-align:center;" | me
| style="text-align:center;" | me
| | 313.043
| | 313.043
|331.826
|400.696 (190.B21<sub>16</sub>)
| | 6/5
| | 6/5
| style="text-align:center;" | upminor 3rd
| style="text-align:center;" | upminor 3rd
Line 132: Line 158:
| style="text-align:center;" | 13
| style="text-align:center;" | 13
| style="text-align:center;" | mu
| style="text-align:center;" | mu
| | 339.130
| | 339.13
|359.479
|434.087 (1B2.164<sub>16</sub>)
| | 11/9, 17/14
| | 11/9, 17/14
| style="text-align:center;" | downmid 3rd
| style="text-align:center;" | downmid 3rd
Line 141: Line 169:
| style="text-align:center;" | muh
| style="text-align:center;" | muh
| | 365.217
| | 365.217
|387.13
|467.478 (1D3.7A7<sub>16</sub>)
| | 16/13
| | 16/13
| style="text-align:center;" | upmid 3rd
| style="text-align:center;" | upmid 3rd
Line 149: Line 179:
| style="text-align:center;" | mi
| style="text-align:center;" | mi
| | 391.304
| | 391.304
|414.783
|501.87 (1F5.DEA<sub>16</sub>)
| | 5/4
| | 5/4
| style="text-align:center;" | downmajor 3rd
| style="text-align:center;" | downmajor 3rd
Line 157: Line 189:
| style="text-align:center;" | maa
| style="text-align:center;" | maa
| | 417.391
| | 417.391
|442.435
|534.261 (216.42C8<sub>16</sub>)
| | 14/11
| | 14/11
| style="text-align:center;" | major 3rd
| style="text-align:center;" | major 3rd
Line 165: Line 199:
| style="text-align:center;" | mo
| style="text-align:center;" | mo
| | 443.478
| | 443.478
|470.087
|567.652 (237.A6F<sub>16</sub>)
| | 9/7, 13/10, 22/17
| | 9/7, 13/10, 22/17
| style="text-align:center;" | upmajor 3rd
| style="text-align:center;" | upmajor 3rd
Line 173: Line 209:
| style="text-align:center;" | fe
| style="text-align:center;" | fe
| | 469.565
| | 469.565
|497.739
|601.0435 (259.0B2<sub>16</sub>)
| | 17/13
| | 17/13
| style="text-align:center;" | down 4th
| style="text-align:center;" | down 4th
Line 181: Line 219:
| style="text-align:center;" | fa
| style="text-align:center;" | fa
| | 495.652
| | 495.652
|525.391
|634.435 (27A.6F5<sub>16</sub>)
| | 4/3
| | 4/3
| style="text-align:center;" | perfect 4th
| style="text-align:center;" | perfect 4th
Line 189: Line 229:
| style="text-align:center;" | fih
| style="text-align:center;" | fih
| | 521.739
| | 521.739
|553.0435
|667.826 (29B.D38<sub>16</sub>)
| |  
| |  
| style="text-align:center;" | up 4th
| style="text-align:center;" | up 4th
Line 197: Line 239:
| style="text-align:center;" | fu
| style="text-align:center;" | fu
| | 547.826
| | 547.826
|580.696
|701.217 (2BD.37A<sub>16</sub>)
| | 11/8, 15/11
| | 11/8, 15/11
| style="text-align:center;" | double-up 4th
| style="text-align:center;" | double-up 4th
Line 205: Line 249:
| style="text-align:center;" | fi
| style="text-align:center;" | fi
| | 573.913
| | 573.913
|608.348
|734.609 (2DE.9BD<sub>16</sub>)
| | 7/5, 18/13
| | 7/5, 18/13
| style="text-align:center;" | double-down aug 4th,
| style="text-align:center;" | double-down aug 4th,
Line 214: Line 260:
| style="text-align:center;" | 23
| style="text-align:center;" | 23
| style="text-align:center;" | seh
| style="text-align:center;" | seh
| | 600.000
| | 600
|636
|768 (300<sub>16</sub>)
| | 17/12, 24/17
| | 17/12, 24/17
| style="text-align:center;" | downaug 4th, updim 5th
| style="text-align:center;" | downaug 4th, updim 5th
Line 223: Line 271:
| style="text-align:center;" | se
| style="text-align:center;" | se
| | 626.087
| | 626.087
|663.652
|801.391 (321.643<sub>16</sub>)
| | 10/7, 13/9
| | 10/7, 13/9
| style="text-align:center;" | aug 4th, double-up dim 5th
| style="text-align:center;" | aug 4th, double-up dim 5th
Line 231: Line 281:
| style="text-align:center;" | su
| style="text-align:center;" | su
| | 652.174
| | 652.174
|691.304
|834.783 (342.C86<sub>16</sub>)
| | 16/11, 22/15
| | 16/11, 22/15
| style="text-align:center;" | double-down 5th
| style="text-align:center;" | double-down 5th
Line 239: Line 291:
| style="text-align:center;" | sih
| style="text-align:center;" | sih
| | 678.261
| | 678.261
|718.9565
|868.174 (364.2C8<sub>16</sub>)
| |  
| |  
| style="text-align:center;" | down 5th
| style="text-align:center;" | down 5th
Line 247: Line 301:
| style="text-align:center;" | sol
| style="text-align:center;" | sol
| | 704.348
| | 704.348
|746.609
|901.565 (385.90B<sub>16</sub>)
| | 3/2
| | 3/2
| style="text-align:center;" | perfect 5th
| style="text-align:center;" | perfect 5th
Line 255: Line 311:
| style="text-align:center;" | si
| style="text-align:center;" | si
| | 730.435
| | 730.435
|774.261
|934.9565 (3A6.F4E<sub>16</sub>)
| | 26/17
| | 26/17
| style="text-align:center;" | up 5th
| style="text-align:center;" | up 5th
Line 263: Line 321:
| style="text-align:center;" | lo
| style="text-align:center;" | lo
| | 756.522
| | 756.522
|801.913
|968.348 (3C8.591<sub>16</sub>)
| | 14/9, 20/13, 17/11
| | 14/9, 20/13, 17/11
| style="text-align:center;" | downminor 6th
| style="text-align:center;" | downminor 6th
Line 271: Line 331:
| style="text-align:center;" | leh
| style="text-align:center;" | leh
| | 782.609
| | 782.609
|829.565
|1001.739 (3E9.BD38<sub>16</sub>)
| | 11/7
| | 11/7
| style="text-align:center;" | minor 6th
| style="text-align:center;" | minor 6th
Line 279: Line 341:
| style="text-align:center;" | le
| style="text-align:center;" | le
| | 808.696
| | 808.696
|857.217
|1035.13 (40B.216<sub>16</sub>)
| | 8/5
| | 8/5
| style="text-align:center;" | upminor 6th
| style="text-align:center;" | upminor 6th
Line 287: Line 351:
| style="text-align:center;" | lu
| style="text-align:center;" | lu
| | 834.783
| | 834.783
|884.87
|1068.522 (42C.859<sub>16</sub>)
| | 13/8
| | 13/8
| style="text-align:center;" | downmid 6th
| style="text-align:center;" | downmid 6th
Line 294: Line 360:
| style="text-align:center;" | 33
| style="text-align:center;" | 33
| style="text-align:center;" | luh
| style="text-align:center;" | luh
| | 860.870
| | 860.87
|913.521
|1101.913 (44D.E9C<sub>16</sub>
| | 18/11, 28/17
| | 18/11, 28/17
| style="text-align:center;" | upmid 6th
| style="text-align:center;" | upmid 6th
Line 303: Line 371:
| style="text-align:center;" | la
| style="text-align:center;" | la
| | 886.957
| | 886.957
|940.174
|1135.304 (46F.4DF<sub>16</sub>).
| | 5/3
| | 5/3
| style="text-align:center;" | downmajor 6th
| style="text-align:center;" | downmajor 6th
Line 311: Line 381:
| style="text-align:center;" | laa
| style="text-align:center;" | laa
| | 913.043
| | 913.043
|967.826
|1168.696 (490.B21<sub>16</sub>)
| | 22/13, 17/10
| | 22/13, 17/10
| style="text-align:center;" | major 6th
| style="text-align:center;" | major 6th
Line 318: Line 390:
| style="text-align:center;" | 36
| style="text-align:center;" | 36
| style="text-align:center;" | li
| style="text-align:center;" | li
| | 939.130
| | 939.13
|995.478
|1202.087 (4B2.164<sub>16</sub>)
| | 12/7, 26/15*
| | 12/7, 26/15*
| style="text-align:center;" | upmajor 6th
| style="text-align:center;" | upmajor 6th
Line 327: Line 401:
| style="text-align:center;" | ta
| style="text-align:center;" | ta
| | 965.217
| | 965.217
|1023.13
|1235.478 (4D3.7A7<sub>16</sub>)
| | 7/4, 26/15*
| | 7/4, 26/15*
| style="text-align:center;" | downminor 7th
| style="text-align:center;" | downminor 7th
Line 335: Line 411:
| style="text-align:center;" | teh
| style="text-align:center;" | teh
| | 991.304
| | 991.304
|1050.783
|1269.87 (4F5.DEA<sub>16</sub>)
| | 16/9, 30/17
| | 16/9, 30/17
| style="text-align:center;" | minor 7th
| style="text-align:center;" | minor 7th
Line 343: Line 421:
| style="text-align:center;" | te
| style="text-align:center;" | te
| | 1017.391
| | 1017.391
|1078.435
|1302.261 (516.42C8<sub>16</sub>))
| | 9/5
| | 9/5
| style="text-align:center;" | upminor 7th
| style="text-align:center;" | upminor 7th
Line 351: Line 431:
| style="text-align:center;" | tu
| style="text-align:center;" | tu
| | 1043.478
| | 1043.478
|1106.087
|1335.652 (537.A6F<sub>16</sub>)
| | 11/6, 20/11
| | 11/6, 20/11
| style="text-align:center;" | downmid 7th
| style="text-align:center;" | downmid 7th
Line 359: Line 441:
| style="text-align:center;" | tuh
| style="text-align:center;" | tuh
| | 1069.565
| | 1069.565
|1133.739
|1369.0435 (559.0B2<sub>16</sub>)
| | 24/13, 13/7, 28/15
| | 24/13, 13/7, 28/15
| style="text-align:center;" | upmid 7th
| style="text-align:center;" | upmid 7th
Line 367: Line 451:
| style="text-align:center;" | ti
| style="text-align:center;" | ti
| | 1095.652
| | 1095.652
|1161.391
|1402.435 (57A.6F5<sub>16</sub>)
| | 15/8, 32/17, 17/9
| | 15/8, 32/17, 17/9
| style="text-align:center;" | downmajor 7th
| style="text-align:center;" | downmajor 7th
Line 375: Line 461:
| style="text-align:center;" | taa
| style="text-align:center;" | taa
| | 1121.739
| | 1121.739
|1189.0435
|1435.826 (59B.D38<sub>16</sub>)
| |  
| |  
| style="text-align:center;" | major 7th
| style="text-align:center;" | major 7th
Line 383: Line 471:
| style="text-align:center;" | to
| style="text-align:center;" | to
| | 1147.826
| | 1147.826
|1216.696
|1469.217 (5BD.37A<sub>16</sub>)
| |  
| |  
| style="text-align:center;" | upmajor 7th
| style="text-align:center;" | upmajor 7th
Line 391: Line 481:
| style="text-align:center;" | da
| style="text-align:center;" | da
| | 1173.913
| | 1173.913
|1244.348
|1502.609 (5DE.9BD<sub>16</sub>)
| |  
| |  
| style="text-align:center;" | down 8ve
| style="text-align:center;" | down 8ve
Line 399: Line 491:
| style="text-align:center;" | do
| style="text-align:center;" | do
| | 1200.000
| | 1200.000
|1272
|1536 (600<sub>16</sub>)
| | 2/1
| | 2/1
| style="text-align:center;" | perfect 8ve
| style="text-align:center;" | perfect 8ve
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