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46edo: Difference between revisions

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191 edits
→Intervals: Removed pions column
Jkarimak (talk | contribs)
191 edits
→Intervals: Removed 7mus column
Line 21: Line 21:
! | solfege
! | solfege
! | cents value
! | cents value
!7mus
! | approximate ratios
! | approximate ratios


Line 30: Line 29:
| style="text-align:center;" | do
| style="text-align:center;" | do
| 0.000
| 0.000
|0
| | 1/1
| | 1/1
| style="text-align:center;" | perfect unison
| style="text-align:center;" | perfect unison
Line 39: Line 37:
| style="text-align:center;" | di
| style="text-align:center;" | di
| | 26.087
| | 26.087
|33.391 (21.643<sub>16</sub>)
| |  
| |  
| style="text-align:center;" | up unison
| style="text-align:center;" | up unison
Line 48: Line 45:
| style="text-align:center;" | ro
| style="text-align:center;" | ro
| | 52.174
| | 52.174
|66.783 (42.C86<sub>16</sub>)
| |  
| |  
| style="text-align:center;" | downminor 2nd
| style="text-align:center;" | downminor 2nd
Line 57: Line 53:
| style="text-align:center;" | rih
| style="text-align:center;" | rih
| | 78.261
| | 78.261
|100.174 (64.2C8<sub>16</sub>)
| |  
| |  
| style="text-align:center;" | minor 2nd
| style="text-align:center;" | minor 2nd
Line 66: Line 61:
| style="text-align:center;" | ra
| style="text-align:center;" | ra
| | 104.348
| | 104.348
|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 75: Line 69:
| style="text-align:center;" | ru (as in supraminor)
| style="text-align:center;" | ru (as in supraminor)
| | 130.435
| | 130.435
|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 84: Line 77:
| style="text-align:center;" | ruh (as in submajor)
| style="text-align:center;" | ruh (as in submajor)
| | 156.522
| | 156.522
|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 93: Line 85:
| style="text-align:center;" | reh
| style="text-align:center;" | reh
| | 182.609
| | 182.609
|233.739 (E9.BD38<sub>16</sub>)
| | 10/9
| | 10/9
| style="text-align:center;" | downmajor 2nd
| style="text-align:center;" | downmajor 2nd
Line 102: Line 93:
| style="text-align:center;" | re
| style="text-align:center;" | re
| | 208.696
| | 208.696
|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 111: Line 101:
| style="text-align:center;" | ri
| style="text-align:center;" | ri
| | 234.783
| | 234.783
|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 120: Line 109:
| style="text-align:center;" | ma
| style="text-align:center;" | ma
| | 260.87
| | 260.87
|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 129: Line 117:
| style="text-align:center;" | meh
| style="text-align:center;" | meh
| | 286.957
| | 286.957
|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 138: Line 125:
| style="text-align:center;" | me
| style="text-align:center;" | me
| | 313.043
| | 313.043
|400.696 (190.B21<sub>16</sub>)
| | 6/5
| | 6/5
| style="text-align:center;" | upminor 3rd
| style="text-align:center;" | upminor 3rd
Line 147: Line 133:
| style="text-align:center;" | mu
| style="text-align:center;" | mu
| | 339.13
| | 339.13
|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 156: Line 141:
| style="text-align:center;" | muh
| style="text-align:center;" | muh
| | 365.217
| | 365.217
|467.478 (1D3.7A7<sub>16</sub>)
| | 16/13
| | 16/13
| style="text-align:center;" | upmid 3rd
| style="text-align:center;" | upmid 3rd
Line 165: Line 149:
| style="text-align:center;" | mi
| style="text-align:center;" | mi
| | 391.304
| | 391.304
|501.87 (1F5.DEA<sub>16</sub>)
| | 5/4
| | 5/4
| style="text-align:center;" | downmajor 3rd
| style="text-align:center;" | downmajor 3rd
Line 174: Line 157:
| style="text-align:center;" | maa
| style="text-align:center;" | maa
| | 417.391
| | 417.391
|534.261 (216.42C8<sub>16</sub>)
| | 14/11
| | 14/11
| style="text-align:center;" | major 3rd
| style="text-align:center;" | major 3rd
Line 183: Line 165:
| style="text-align:center;" | mo
| style="text-align:center;" | mo
| | 443.478
| | 443.478
|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 192: Line 173:
| style="text-align:center;" | fe
| style="text-align:center;" | fe
| | 469.565
| | 469.565
|601.0435 (259.0B2<sub>16</sub>)
| | 17/13
| | 17/13
| style="text-align:center;" | down 4th
| style="text-align:center;" | down 4th
Line 201: Line 181:
| style="text-align:center;" | fa
| style="text-align:center;" | fa
| | 495.652
| | 495.652
|634.435 (27A.6F5<sub>16</sub>)
| | 4/3
| | 4/3
| style="text-align:center;" | perfect 4th
| style="text-align:center;" | perfect 4th
Line 210: Line 189:
| style="text-align:center;" | fih
| style="text-align:center;" | fih
| | 521.739
| | 521.739
|667.826 (29B.D38<sub>16</sub>)
| |  
| |  
| style="text-align:center;" | up 4th
| style="text-align:center;" | up 4th
Line 219: Line 197:
| style="text-align:center;" | fu
| style="text-align:center;" | fu
| | 547.826
| | 547.826
|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 228: Line 205:
| style="text-align:center;" | fi
| style="text-align:center;" | fi
| | 573.913
| | 573.913
|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 239: Line 215:
| style="text-align:center;" | seh
| style="text-align:center;" | seh
| | 600
| | 600
|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 248: Line 223:
| style="text-align:center;" | se
| style="text-align:center;" | se
| | 626.087
| | 626.087
|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 257: Line 231:
| style="text-align:center;" | su
| style="text-align:center;" | su
| | 652.174
| | 652.174
|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 266: Line 239:
| style="text-align:center;" | sih
| style="text-align:center;" | sih
| | 678.261
| | 678.261
|868.174 (364.2C8<sub>16</sub>)
| |  
| |  
| style="text-align:center;" | down 5th
| style="text-align:center;" | down 5th
Line 275: Line 247:
| style="text-align:center;" | sol
| style="text-align:center;" | sol
| | 704.348
| | 704.348
|901.565 (385.90B<sub>16</sub>)
| | 3/2
| | 3/2
| style="text-align:center;" | perfect 5th
| style="text-align:center;" | perfect 5th
Line 284: Line 255:
| style="text-align:center;" | si
| style="text-align:center;" | si
| | 730.435
| | 730.435
|934.9565 (3A6.F4E<sub>16</sub>)
| | 26/17
| | 26/17
| style="text-align:center;" | up 5th
| style="text-align:center;" | up 5th
Line 293: Line 263:
| style="text-align:center;" | lo
| style="text-align:center;" | lo
| | 756.522
| | 756.522
|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 302: Line 271:
| style="text-align:center;" | leh
| style="text-align:center;" | leh
| | 782.609
| | 782.609
|1001.739 (3E9.BD38<sub>16</sub>)
| | 11/7
| | 11/7
| style="text-align:center;" | minor 6th
| style="text-align:center;" | minor 6th
Line 311: Line 279:
| style="text-align:center;" | le
| style="text-align:center;" | le
| | 808.696
| | 808.696
|1035.13 (40B.216<sub>16</sub>)
| | 8/5
| | 8/5
| style="text-align:center;" | upminor 6th
| style="text-align:center;" | upminor 6th
Line 320: Line 287:
| style="text-align:center;" | lu
| style="text-align:center;" | lu
| | 834.783
| | 834.783
|1068.522 (42C.859<sub>16</sub>)
| | 13/8
| | 13/8
| style="text-align:center;" | downmid 6th
| style="text-align:center;" | downmid 6th
Line 329: Line 295:
| style="text-align:center;" | luh
| style="text-align:center;" | luh
| | 860.87
| | 860.87
|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 338: Line 303:
| style="text-align:center;" | la
| style="text-align:center;" | la
| | 886.957
| | 886.957
|1135.304 (46F.4DF<sub>16</sub>).
| | 5/3
| | 5/3
| style="text-align:center;" | downmajor 6th
| style="text-align:center;" | downmajor 6th
Line 347: Line 311:
| style="text-align:center;" | laa
| style="text-align:center;" | laa
| | 913.043
| | 913.043
|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 356: Line 319:
| style="text-align:center;" | li
| style="text-align:center;" | li
| | 939.13
| | 939.13
|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 365: Line 327:
| style="text-align:center;" | ta
| style="text-align:center;" | ta
| | 965.217
| | 965.217
|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 374: Line 335:
| style="text-align:center;" | teh
| style="text-align:center;" | teh
| | 991.304
| | 991.304
|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 383: Line 343:
| style="text-align:center;" | te
| style="text-align:center;" | te
| | 1017.391
| | 1017.391
|1302.261 (516.42C8<sub>16</sub>))
| | 9/5
| | 9/5
| style="text-align:center;" | upminor 7th
| style="text-align:center;" | upminor 7th
Line 392: Line 351:
| style="text-align:center;" | tu
| style="text-align:center;" | tu
| | 1043.478
| | 1043.478
|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 401: Line 359:
| style="text-align:center;" | tuh
| style="text-align:center;" | tuh
| | 1069.565
| | 1069.565
|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 410: Line 367:
| style="text-align:center;" | ti
| style="text-align:center;" | ti
| | 1095.652
| | 1095.652
|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 419: Line 375:
| style="text-align:center;" | taa
| style="text-align:center;" | taa
| | 1121.739
| | 1121.739
|1435.826 (59B.D38<sub>16</sub>)
| |  
| |  
| style="text-align:center;" | major 7th
| style="text-align:center;" | major 7th
Line 428: Line 383:
| style="text-align:center;" | to
| style="text-align:center;" | to
| | 1147.826
| | 1147.826
|1469.217 (5BD.37A<sub>16</sub>)
| |  
| |  
| style="text-align:center;" | upmajor 7th
| style="text-align:center;" | upmajor 7th
Line 437: Line 391:
| style="text-align:center;" | da
| style="text-align:center;" | da
| | 1173.913
| | 1173.913
|1502.609 (5DE.9BD<sub>16</sub>)
| |  
| |  
| style="text-align:center;" | down 8ve
| style="text-align:center;" | down 8ve
Line 446: Line 399:
| style="text-align:center;" | do
| style="text-align:center;" | do
| | 1200.000
| | 1200.000
|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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