User:Moremajorthanmajor/5L 3s (minor ninth-equivalent): Difference between revisions
| Line 177: | Line 177: | ||
|minor 2nd | |minor 2nd | ||
|1\13, 100.00 | |1\13, 100.00 | ||
|1\18, 70.59 | |1\18, 70.59 | ||
|2\21, 126.32 | |2\21, 126.32 | ||
|Af | |Af | ||
| -5 | | -5 | ||
| Line 184: | Line 184: | ||
|major 2nd | |major 2nd | ||
|2\13, 200.00 | |2\13, 200.00 | ||
|3\18, 211.765 | |3\18, 211.765 | ||
|3\21, 189.47 | |3\21, 189.47 | ||
|A | |A | ||
| +3 | | +3 | ||
| Line 191: | Line 191: | ||
|minor 3rd | |minor 3rd | ||
|3\13, 300.00 | |3\13, 300.00 | ||
|4\18, 282.35 | |4\18, 282.35 | ||
|5\21, 315.79 | |5\21, 315.79 | ||
|Bf | |Bf | ||
| -2 | | -2 | ||
| Line 198: | Line 198: | ||
|major 3rd | |major 3rd | ||
| rowspan="2" |4\13, 400.00 | | rowspan="2" |4\13, 400.00 | ||
|6\18, 423.53 | |6\18, 423.53 | ||
|6\21, 378.95 | |6\21, 378.95 | ||
|B | |B | ||
| +6 | | +6 | ||
|- | |- | ||
|diminished 4th | |diminished 4th | ||
|5\18, 352.94 | |5\18, 352.94 | ||
|7\21, 442.105 | |7\21, 442.105 | ||
|Cf | |Cf | ||
| -7 | | -7 | ||
| Line 211: | Line 211: | ||
|natural 4th | |natural 4th | ||
|5\13, 500.00 | |5\13, 500.00 | ||
|7\18, 494.12 | |7\18, 494.12 | ||
|8\21, 505 | |8\21, 505.24 | ||
|C | |C | ||
| +1 | | +1 | ||
| Line 218: | Line 218: | ||
|augmented 4th | |augmented 4th | ||
| rowspan="2" |6\13, 600.00 | | rowspan="2" |6\13, 600.00 | ||
|9\18, 635.29 | |9\18, 635.29 | ||
|9\21, 568.42 | |9\21, 568.42 | ||
|C# | |C# | ||
| +9 | | +9 | ||
|- bgcolor="#eaeaff" | |- bgcolor="#eaeaff" | ||
|diminished 5th | |diminished 5th | ||
|8\18, 564.71 | |8\18, 564.71 | ||
|10\21, 631.58 | |10\21, 631.58 | ||
|Qf | |Qf | ||
| -4 | | -4 | ||
| Line 231: | Line 231: | ||
|perfect 5th | |perfect 5th | ||
|7\13, 700.00 | |7\13, 700.00 | ||
|10\18, 705.88 | |10\18, 705.88 | ||
|11\31, 694.74 | |11\31, 694.74 | ||
|Q | |Q | ||
| +4 | | +4 | ||
| Line 238: | Line 238: | ||
|minor 6th | |minor 6th | ||
|8\13, 800.00 | |8\13, 800.00 | ||
|11\18, 776.47 | |11\18, 776.47 | ||
|13\21, 821.05 | |13\21, 821.05 | ||
|Df | |Df | ||
| -1 | | -1 | ||
| Line 245: | Line 245: | ||
|major 6th | |major 6th | ||
| rowspan="2" |9\13, 900.00 | | rowspan="2" |9\13, 900.00 | ||
|13\18, 917.65 | |13\18, 917.65 | ||
|14\21, 884.21 | |14\21, 884.21 | ||
|D | |D | ||
| +7 | | +7 | ||
|- bgcolor="#eaeaff" | |- bgcolor="#eaeaff" | ||
|minor 7th | |minor 7th | ||
|12\18, 847.06 | |12\18, 847.06 | ||
|15\21, 947.37 | |15\21, 947.37 | ||
|Ef | |Ef | ||
| -6 | | -6 | ||
| Line 258: | Line 258: | ||
|major 7th | |major 7th | ||
|10\13, 1000.00 | |10\13, 1000.00 | ||
|14\18, 988.235 | |14\18, 988.235 | ||
|16\21, 1017.53 | |16\21, 1017.53 | ||
|E | |E | ||
| +2 | | +2 | ||
| Line 265: | Line 265: | ||
|diminished octave | |diminished octave | ||
|11\13, 1100.00 | |11\13, 1100.00 | ||
|15\18, 1052.82 | |15\18, 1052.82 | ||
|18\21, 1136.84 | |18\21, 1136.84 | ||
|Ff | |Ff | ||
| -3 | | -3 | ||
| Line 272: | Line 272: | ||
|perfect octave | |perfect octave | ||
|12\13, 1200.00 | |12\13, 1200.00 | ||
|17\18, 1200.00 | |17\18, 1200.00 | ||
|19\21, 1200.00 | |19\21, 1200.00 | ||
|F | |F | ||
| +5 | | +5 | ||
| Line 295: | Line 295: | ||
|generator (g) | |generator (g) | ||
|5\13, 500.00 | |5\13, 500.00 | ||
|7\18, 494.12 | |7\18, 494.12 | ||
|12\31, 496.55 | |12\31, 496.55 | ||
|- | |- | ||
|L (3g - minor 9th) | |L (3g - minor 9th) | ||
|2\13, 200.00 | |2\13, 200.00 | ||
|3\18, 211.765 | |3\18, 211.765 | ||
|5\31, 206.87 | |5\31, 206.87 | ||
|- | |- | ||
|s (-5g + 2 minor 9ths) | |s (-5g + 2 minor 9ths) | ||
|1\13, 100.00 | |1\13, 100.00 | ||
|1\18, 70.59 | |1\18, 70.59 | ||
|2\31, 82.76 | |2\31, 82.76 | ||
|} | |} | ||
====Intervals==== | ====Intervals==== | ||
| Line 330: | Line 330: | ||
|minor 2nd | |minor 2nd | ||
|1\13, 100.00 | |1\13, 100.00 | ||
|1\18, 70.59 | |1\18, 70.59 | ||
|2\31, 82.76 | |2\31, 82.76 | ||
|Af | |Af | ||
|21/20, ''22/21'' | |21/20, ''22/21'' | ||
| Line 338: | Line 338: | ||
|major 2nd | |major 2nd | ||
|2\13, 200.00 | |2\13, 200.00 | ||
|3\18, 211.765 | |3\18, 211.765 | ||
|5\31, 206.87 | |5\31, 206.87 | ||
|A | |A | ||
|9/8 | |9/8 | ||
| Line 346: | Line 346: | ||
|minor 3rd | |minor 3rd | ||
|3\13, 300.00 | |3\13, 300.00 | ||
|4\18, 282.35 | |4\18, 282.35 | ||
|7\31, 289.655 | |7\31, 289.655 | ||
|Bf | |Bf | ||
|13/11, 33/28 | |13/11, 33/28 | ||
| Line 354: | Line 354: | ||
|major 3rd | |major 3rd | ||
| rowspan="2" |4\13, 400.00 | | rowspan="2" |4\13, 400.00 | ||
|6\18, 423.53 | |6\18, 423.53 | ||
|10\31, 413.79 | |10\31, 413.79 | ||
|B | |B | ||
|14/11, 33/26 | |14/11, 33/26 | ||
| Line 361: | Line 361: | ||
|- | |- | ||
|diminished 4th | |diminished 4th | ||
|5\18, 352.94 | |5\18, 352.94 | ||
|9\31, 372.41 | |9\31, 372.41 | ||
|Cf | |Cf | ||
|''5/4, 11/9'' | |''5/4, 11/9'' | ||
| Line 369: | Line 369: | ||
|natural 4th | |natural 4th | ||
|5\13, 500.00 | |5\13, 500.00 | ||
|7\18, 494.12 | |7\18, 494.12 | ||
|12\31, 496.55 | |12\31, 496.55 | ||
|C | |C | ||
|4/3 | |4/3 | ||
| Line 377: | Line 377: | ||
|augmented 4th | |augmented 4th | ||
| rowspan="2" |6\13, 600.00 | | rowspan="2" |6\13, 600.00 | ||
|9\18, 635.29 | |9\18, 635.29 | ||
|15\31, 620.69 | |15\31, 620.69 | ||
|C# | |C# | ||
|''10/7, 18/13, 11/8'' | |''10/7, 18/13, 11/8'' | ||
| Line 384: | Line 384: | ||
|- bgcolor="#eaeaff" | |- bgcolor="#eaeaff" | ||
|diminished 5th | |diminished 5th | ||
|8\18, 564.71 | |8\18, 564.71 | ||
|14\31, 579.31 | |14\31, 579.31 | ||
|Qf | |Qf | ||
|''7/5, 13/9'', ''16/11'' | |''7/5, 13/9'', ''16/11'' | ||
| Line 392: | Line 392: | ||
|perfect 5th | |perfect 5th | ||
|7\13, 700.00 | |7\13, 700.00 | ||
|10\18, 705.88 | |10\18, 705.88 | ||
|17\31, 703.45 | |17\31, 703.45 | ||
|Q | |Q | ||
|3/2 | |3/2 | ||
| Line 400: | Line 400: | ||
|minor 6th | |minor 6th | ||
|8\13, 800.00 | |8\13, 800.00 | ||
|11\18, 776.47 | |11\18, 776.47 | ||
|19\31, 786.21 | |19\31, 786.21 | ||
|Df | |Df | ||
|52/33, 11/7 | |52/33, 11/7 | ||
| Line 408: | Line 408: | ||
|major 6th | |major 6th | ||
| rowspan="2" |9\13, 900.00 | | rowspan="2" |9\13, 900.00 | ||
|13\18, 917.65 | |13\18, 917.65 | ||
|22\31, 910.345 | |22\31, 910.345 | ||
|D | |D | ||
|56/33, 22/17 | |56/33, 22/17 | ||
| Line 415: | Line 415: | ||
|- bgcolor="#eaeaff" | |- bgcolor="#eaeaff" | ||
|minor 7th | |minor 7th | ||
|12\18, 847.06 | |12\18, 847.06 | ||
|21\31, 868.97 | |21\31, 868.97 | ||
|Ef | |Ef | ||
|5/3, 18/11 | |5/3, 18/11 | ||
| Line 423: | Line 423: | ||
|major 7th | |major 7th | ||
|10\13, 1000.00 | |10\13, 1000.00 | ||
|14\18, 988.235 | |14\18, 988.235 | ||
|24\31, 993.13 | |24\31, 993.13 | ||
|E | |E | ||
|16/9 | |16/9 | ||
| Line 431: | Line 431: | ||
|diminished octave | |diminished octave | ||
|11\13, 1100.00 | |11\13, 1100.00 | ||
|15\18, 1052.82 | |15\18, 1052.82 | ||
|26\31, 1075.86 | |26\31, 1075.86 | ||
|Ff | |Ff | ||
|11/6, 13/7, 15/8 | |11/6, 13/7, 15/8 | ||
| Line 439: | Line 439: | ||
|perfect octave | |perfect octave | ||
|12\13, 1200.00 | |12\13, 1200.00 | ||
|17\18, 1200.00 | |17\18, 1200.00 | ||
|29\31, 1200.00 | |29\31, 1200.00 | ||
|F | |F | ||
|2/1 | |2/1 | ||
| Line 457: | Line 457: | ||
|- | |- | ||
|generator (g) | |generator (g) | ||
|8\21, 505.26 | |8\21, 505.26 | ||
|13\34, 503.23 | |13\34, 503.23 | ||
|- | |- | ||
|L (3g - minor 9th) | |L (3g - minor 9th) | ||
|3\21, 189.47 | |3\21, 189.47 | ||
|5\34, 193.55 | |5\34, 193.55 | ||
|- | |- | ||
|s (-5g + 2 minor 9ths) | |s (-5g + 2 minor 9ths) | ||
|2\ | |2\21, 126.32 | ||
|3\34, 116.19 | |3\34, 116.19 | ||
|} | |} | ||
====Intervals==== | ====Intervals==== | ||
| Line 474: | Line 474: | ||
! class="unsortable" |Degree | ! class="unsortable" |Degree | ||
!Size in 21edIX (soft) | !Size in 21edIX (soft) | ||
!Size in | !Size in 34edIX (semisoft) | ||
! class="unsortable" |Note name on G | ! class="unsortable" |Note name on G | ||
! class="unsortable" |Approximate ratios | ! class="unsortable" |Approximate ratios | ||
| Line 487: | Line 487: | ||
|- | |- | ||
|minor 2nd | |minor 2nd | ||
|2\21, 126.32 | |2\21, 126.32 | ||
|3\34, 116.19 | |3\34, 116.19 | ||
|Af | |Af | ||
|16/15 | |16/15 | ||
| Line 494: | Line 494: | ||
|- | |- | ||
|major 2nd | |major 2nd | ||
|3\21, 189.47 | |3\21, 189.47 | ||
|5\34, 193.55 | |5\34, 193.55 | ||
|A | |A | ||
|10/9, 9/8 | |10/9, 9/8 | ||
| Line 501: | Line 501: | ||
|- bgcolor="#eaeaff" | |- bgcolor="#eaeaff" | ||
|minor 3rd | |minor 3rd | ||
|5\21, 315.79 | |5\21, 315.79 | ||
|8\34, 309.68 | |8\34, 309.68 | ||
|Bf | |Bf | ||
|6/5 | |6/5 | ||
| Line 508: | Line 508: | ||
|- bgcolor="#eaeaff" | |- bgcolor="#eaeaff" | ||
|major 3rd | |major 3rd | ||
|6\21, 378.95 | |6\21, 378.95 | ||
|10\34, 387.10 | |10\34, 387.10 | ||
|B | |B | ||
|5/4 | |5/4 | ||
| Line 515: | Line 515: | ||
|- | |- | ||
|diminished 4th | |diminished 4th | ||
|7\21, 442.105 | |7\21, 442.105 | ||
|11\34, 425.81 | |11\34, 425.81 | ||
|Cf | |Cf | ||
|9/7 | |9/7 | ||
| Line 522: | Line 522: | ||
|- | |- | ||
|natural 4th | |natural 4th | ||
|8\21, 505 | |8\21, 505.24 | ||
|13\34, 503.23 | |13\34, 503.23 | ||
|C | |C | ||
|4/3 | |4/3 | ||
| Line 529: | Line 529: | ||
|- bgcolor="#eaeaff" | |- bgcolor="#eaeaff" | ||
|augmented 4th | |augmented 4th | ||
|9\21, 568.42 | |9\21, 568.42 | ||
|15\34, 580.645 | |15\34, 580.645 | ||
|C# | |C# | ||
|7/5 | |7/5 | ||
| Line 536: | Line 536: | ||
|- bgcolor="#eaeaff" | |- bgcolor="#eaeaff" | ||
|diminished 5th | |diminished 5th | ||
|10\21, 631.58 | |10\21, 631.58 | ||
|16\34, 619.355 | |16\34, 619.355 | ||
|Qf | |Qf | ||
|10/6 | |10/6 | ||
| Line 543: | Line 543: | ||
|- | |- | ||
|perfect 5th | |perfect 5th | ||
|11\31, 694.74 | |11\31, 694.74 | ||
|18\34, 696.77 | |18\34, 696.77 | ||
|Q | |Q | ||
|3/2 | |3/2 | ||
| Line 550: | Line 550: | ||
|- | |- | ||
|minor 6th | |minor 6th | ||
|13\21, 821.05 | |13\21, 821.05 | ||
|21\34, 812.90 | |21\34, 812.90 | ||
|Df | |Df | ||
|8/5 | |8/5 | ||
| Line 557: | Line 557: | ||
|- bgcolor="#eaeaff" | |- bgcolor="#eaeaff" | ||
|major 6th | |major 6th | ||
|14\21, 884.21 | |14\21, 884.21 | ||
|23\34, 890.32 | |23\34, 890.32 | ||
|D | |D | ||
|5/3 | |5/3 | ||
| Line 564: | Line 564: | ||
|- bgcolor="#eaeaff" | |- bgcolor="#eaeaff" | ||
|minor 7th | |minor 7th | ||
|15\21, 947.37 | |15\21, 947.37 | ||
|24\34, 929.03 | |24\34, 929.03 | ||
|Ef | |Ef | ||
|12/7 | |12/7 | ||
| Line 571: | Line 571: | ||
|- | |- | ||
|major 7th | |major 7th | ||
|16\21, 1017.53 | |16\21, 1017.53 | ||
|26\34, 1006.45 | |26\34, 1006.45 | ||
|E | |E | ||
|9/5, 16/9 | |9/5, 16/9 | ||
| Line 578: | Line 578: | ||
|- | |- | ||
|diminished octave | |diminished octave | ||
|18\21, 1136.84 | |18\21, 1136.84 | ||
|29\34, 1122.58 | |29\34, 1122.58 | ||
|Ff | |Ff | ||
|27/14, 48/25 | |27/14, 48/25 | ||
| Line 585: | Line 585: | ||
|- | |- | ||
|perfect octave | |perfect octave | ||
|19\21, 1200.00 | |19\21, 1200.00 | ||
|31\34, 1200.00 | |31\34, 1200.00 | ||
|F | |F | ||
|2/1 | |2/1 | ||
| Line 602: | Line 602: | ||
|- | |- | ||
|generator (g) | |generator (g) | ||
|11\29, 507.69 | |11\29, 507.69 | ||
|14\37, 509.09 | |14\37, 509.09 | ||
|- | |- | ||
|L (3g - minor 9th) | |L (3g - minor 9th) | ||
|4\29, 184.615 | |4\29, 184.615 | ||
|5\37, 181.82 | |5\37, 181.82 | ||
|- | |- | ||
|s (-5g + 2 minor 9ths) | |s (-5g + 2 minor 9ths) | ||
|3\29, 138.46 | |3\29, 138.46 | ||
|4\37, 145.455 | |4\37, 145.455 | ||
|} | |} | ||
====Intervals==== | ====Intervals==== | ||
| Line 630: | Line 630: | ||
|- bgcolor="#eaeaff" | |- bgcolor="#eaeaff" | ||
|chroma | |chroma | ||
|1\29, 46.15 | |1\29, 46.15 | ||
|G# | |G# | ||
|[[33/32]], [[49/48]], [[36/35]], [[25/24]] | |[[33/32]], [[49/48]], [[36/35]], [[25/24]] | ||
| Line 636: | Line 636: | ||
|- | |- | ||
|diminished 2nd | |diminished 2nd | ||
|2\29, 92.31 | |2\29, 92.31 | ||
|Aff | |Aff | ||
|[[21/20]], [[22/21]], [[26/25]] | |[[21/20]], [[22/21]], [[26/25]] | ||
| Line 642: | Line 642: | ||
|- | |- | ||
|minor 2nd | |minor 2nd | ||
|3\29, 138.46 | |3\29, 138.46 | ||
|Af | |Af | ||
|[[12/11]], [[13/12]], [[14/13]], [[16/15]] | |[[12/11]], [[13/12]], [[14/13]], [[16/15]] | ||
| Line 648: | Line 648: | ||
|- | |- | ||
|major 2nd | |major 2nd | ||
|4\29, 184.615 | |4\29, 184.615 | ||
|A | |A | ||
|[[9/8]], [[10/9]], [[11/10]] | |[[9/8]], [[10/9]], [[11/10]] | ||
| Line 654: | Line 654: | ||
|- | |- | ||
|augmented 2nd | |augmented 2nd | ||
|5\29, 230.77 | |5\29, 230.77 | ||
|A# | |A# | ||
|[[8/7]], [[15/13]] | |[[8/7]], [[15/13]] | ||
| Line 660: | Line 660: | ||
|- bgcolor="#eaeaff" | |- bgcolor="#eaeaff" | ||
|diminished 3rd | |diminished 3rd | ||
|6\29, 276.92 | |6\29, 276.92 | ||
|Bff | |Bff | ||
|[[7/6]], [[13/11]], [[33/28]] | |[[7/6]], [[13/11]], [[33/28]] | ||
| Line 666: | Line 666: | ||
|- bgcolor="#eaeaff" | |- bgcolor="#eaeaff" | ||
|minor 3rd | |minor 3rd | ||
|7\29, 323.08 | |7\29, 323.08 | ||
|Bf | |Bf | ||
|[[135/112]], [[6/5]] | |[[135/112]], [[6/5]] | ||
| Line 672: | Line 672: | ||
|- bgcolor="#eaeaff" | |- bgcolor="#eaeaff" | ||
|major 3rd | |major 3rd | ||
|8\29, 369.23 | |8\29, 369.23 | ||
|B | |B | ||
|[[5/4]], [[11/9]], [[16/13]] | |[[5/4]], [[11/9]], [[16/13]] | ||
| Line 678: | Line 678: | ||
|- bgcolor="#eaeaff" | |- bgcolor="#eaeaff" | ||
|augmented 3rd | |augmented 3rd | ||
|9\29, 415.385 | |9\29, 415.385 | ||
|B# | |B# | ||
|[[9/7]], [[14/11]], [[33/26]] | |[[9/7]], [[14/11]], [[33/26]] | ||
| Line 684: | Line 684: | ||
|- | |- | ||
|diminished 4th | |diminished 4th | ||
|10\29, 461.54 | |10\29, 461.54 | ||
|Cf | |Cf | ||
|[[21/16]], [[13/10]] | |[[21/16]], [[13/10]] | ||
| Line 690: | Line 690: | ||
|- | |- | ||
|natural 4th | |natural 4th | ||
|11\29, 507.69 | |11\29, 507.69 | ||
|C | |C | ||
|[[75/56]], [[4/3]] | |[[75/56]], [[4/3]] | ||
| Line 696: | Line 696: | ||
|- | |- | ||
|augmented 4th | |augmented 4th | ||
|12\29, 553.85 | |12\29, 553.85 | ||
|C# | |C# | ||
|[[11/8]], [[18/13]] | |[[11/8]], [[18/13]] | ||
| Line 702: | Line 702: | ||
|- | |- | ||
|doubly augmented 4th, doubly diminished 5th | |doubly augmented 4th, doubly diminished 5th | ||
|13\29, 600.00 | |13\29, 600.00 | ||
|Cx, Qff | |Cx, Qff | ||
|[[7/5]], [[10/7]] | |[[7/5]], [[10/7]] | ||
| Line 708: | Line 708: | ||
|- bgcolor="#eaeaff" | |- bgcolor="#eaeaff" | ||
|diminished 5th | |diminished 5th | ||
|14\29, 646.15 | |14\29, 646.15 | ||
|Qf | |Qf | ||
|[[16/11]], [[13/9]] | |[[16/11]], [[13/9]] | ||
| Line 714: | Line 714: | ||
|- bgcolor="#eaeaff" | |- bgcolor="#eaeaff" | ||
|perfect 5th | |perfect 5th | ||
|15\29, 692.31 | |15\29, 692.31 | ||
|Q | |Q | ||
|[[112/75]], [[3/2]] | |[[112/75]], [[3/2]] | ||
| Line 720: | Line 720: | ||
|- bgcolor="#eaeaff" | |- bgcolor="#eaeaff" | ||
|augmented 5th | |augmented 5th | ||
|16\29, 738.46 | |16\29, 738.46 | ||
|Q# | |Q# | ||
|[[32/21]], [[20/13]] | |[[32/21]], [[20/13]] | ||
| Line 726: | Line 726: | ||
|- bgcolor="#eaeaff" | |- bgcolor="#eaeaff" | ||
|diminished 6th | |diminished 6th | ||
|17\29, 784.615 | |17\29, 784.615 | ||
|Dff | |Dff | ||
|[[11/7]], [[14/9]] | |[[11/7]], [[14/9]] | ||
| Line 732: | Line 732: | ||
|- | |- | ||
|minor 6th | |minor 6th | ||
|18\29, 830.77 | |18\29, 830.77 | ||
|Df | |Df | ||
|[[13/8]], [[8/5]] | |[[13/8]], [[8/5]] | ||
| Line 738: | Line 738: | ||
|- | |- | ||
|major 6th | |major 6th | ||
|19\29, 876.92 | |19\29, 876.92 | ||
|D | |D | ||
|[[5/3]], [[224/135]] | |[[5/3]], [[224/135]] | ||
| Line 744: | Line 744: | ||
|- | |- | ||
|augmented 6th | |augmented 6th | ||
|20\29, 923.08 | |20\29, 923.08 | ||
|D# | |D# | ||
|[[12/7]], [[22/13]] | |[[12/7]], [[22/13]] | ||
| Line 750: | Line 750: | ||
|- | |- | ||
|minor 7th | |minor 7th | ||
|21\29, 969.23 | |21\29, 969.23 | ||
|Ef | |Ef | ||
|[[7/4]], [[26/15]] | |[[7/4]], [[26/15]] | ||
| Line 756: | Line 756: | ||
|- bgcolor="#eaeaff" | |- bgcolor="#eaeaff" | ||
|major 7th | |major 7th | ||
|22\29, 1015.385 | |22\29, 1015.385 | ||
|E | |E | ||
|[[9/5]], [[16/9]], [[20/11]] | |[[9/5]], [[16/9]], [[20/11]] | ||
| Line 762: | Line 762: | ||
|- bgcolor="#eaeaff" | |- bgcolor="#eaeaff" | ||
|augmented 7th | |augmented 7th | ||
|23\29, 1061.54 | |23\29, 1061.54 | ||
|E# | |E# | ||
|[[11/6]], [[13/7]], [[15/8]], [[24/13]] | |[[11/6]], [[13/7]], [[15/8]], [[24/13]] | ||
| Line 768: | Line 768: | ||
|- bgcolor="#eaeaff" | |- bgcolor="#eaeaff" | ||
|doubly augmented 7th, doubly diminished octave | |doubly augmented 7th, doubly diminished octave | ||
|24\29, 1107.69 | |24\29, 1107.69 | ||
|Ex, Fff | |Ex, Fff | ||
|[[21/11]], [[25/13]], [[40/21]] | |[[21/11]], [[25/13]], [[40/21]] | ||
| Line 774: | Line 774: | ||
|- bgcolor="#eaeaff" | |- bgcolor="#eaeaff" | ||
|diminished octave | |diminished octave | ||
|25\29, 1153.85 | |25\29, 1153.85 | ||
|Ff | |Ff | ||
|[[64/33]], [[96/49]], [[35/18]], [[48/25]] | |[[64/33]], [[96/49]], [[35/18]], [[48/25]] | ||
| Line 780: | Line 780: | ||
|- | |- | ||
|perfect octave | |perfect octave | ||
|26\29, 1200.00 | |26\29, 1200.00 | ||
|F | |F | ||
|2/1 | |2/1 | ||
| Line 786: | Line 786: | ||
|- | |- | ||
|augmented octave | |augmented octave | ||
|27\29, 1246.15 | |27\29, 1246.15 | ||
|F# | |F# | ||
|33/16, 49/24, 72/35, 25/12 | |33/16, 49/24, 72/35, 25/12 | ||
| Line 792: | Line 792: | ||
|- | |- | ||
|doubly augmented octave, diminished 9th | |doubly augmented octave, diminished 9th | ||
|28\29, 1292.31 | |28\29, 1292.31 | ||
|Fx, Gf | |Fx, Gf | ||
|21/10, 44/21, 52/25 | |21/10, 44/21, 52/25 | ||
| Line 817: | Line 817: | ||
|- bgcolor="#eaeaff" | |- bgcolor="#eaeaff" | ||
|chroma | |chroma | ||
|3\23, 163.63 | |3\23, 163.63 | ||
|G# | |G# | ||
|12/11, 11/10, 10/9 | |12/11, 11/10, 10/9 | ||
| Line 823: | Line 823: | ||
|- | |- | ||
|minor 2nd | |minor 2nd | ||
|1\23, 54.545 | |1\23, 54.545 | ||
|Af | |Af | ||
|[[36/35]], [[34/33]], [[33/32]], [[32/31]] | |[[36/35]], [[34/33]], [[33/32]], [[32/31]] | ||
| Line 829: | Line 829: | ||
|- | |- | ||
|major 2nd | |major 2nd | ||
|4\23, 218.18 | |4\23, 218.18 | ||
|A | |A | ||
|[[9/8]], [[17/15]], [[8/7]] | |[[9/8]], [[17/15]], [[8/7]] | ||
| Line 835: | Line 835: | ||
|- | |- | ||
|aug. 2nd | |aug. 2nd | ||
|7\23, 381.82 | |7\23, 381.82 | ||
|A# | |A# | ||
|5/4 | |5/4 | ||
| Line 841: | Line 841: | ||
|- bgcolor="#eaeaff" | |- bgcolor="#eaeaff" | ||
|dim. 3rd | |dim. 3rd | ||
|2\23, 109.09 | |2\23, 109.09 | ||
|Bf | |Bf | ||
|16/15 | |16/15 | ||
| Line 847: | Line 847: | ||
|- bgcolor="#eaeaff" | |- bgcolor="#eaeaff" | ||
|minor 3rd | |minor 3rd | ||
|5\23, 272.73 | |5\23, 272.73 | ||
|B | |B | ||
|7/6 | |7/6 | ||
| Line 853: | Line 853: | ||
|- bgcolor="#eaeaff" | |- bgcolor="#eaeaff" | ||
|major 3rd | |major 3rd | ||
|8\23, 436.36 | |8\23, 436.36 | ||
|B# | |B# | ||
|9/7, 14/11 | |9/7, 14/11 | ||
| Line 859: | Line 859: | ||
|- | |- | ||
|dim. 4th | |dim. 4th | ||
|6\23, 327.27 | |6\23, 327.27 | ||
|Cf | |Cf | ||
|6/5 | |6/5 | ||
| Line 865: | Line 865: | ||
|- | |- | ||
|nat. 4th | |nat. 4th | ||
|9\23, 490.91 | |9\23, 490.91 | ||
|C | |C | ||
|4/3 | |4/3 | ||
| Line 871: | Line 871: | ||
|- | |- | ||
|aug. 4th | |aug. 4th | ||
|12\23, 654.545 | |12\23, 654.545 | ||
|C# | |C# | ||
|[[16/11]], [[22/15]] | |[[16/11]], [[22/15]] | ||
| Line 877: | Line 877: | ||
|- bgcolor="#eaeaff" | |- bgcolor="#eaeaff" | ||
|double dim. 5th | |double dim. 5th | ||
|7\23, 381.82 | |7\23, 381.82 | ||
|Qff | |Qff | ||
|5/4 | |5/4 | ||
| Line 883: | Line 883: | ||
|- bgcolor="#eaeaff" | |- bgcolor="#eaeaff" | ||
|dim. 5th | |dim. 5th | ||
|10\23, 545.455 | |10\23, 545.455 | ||
|Qf | |Qf | ||
|[[15/11]], [[11/8]] | |[[15/11]], [[11/8]] | ||
| Line 889: | Line 889: | ||
|- bgcolor="#eaeaff" | |- bgcolor="#eaeaff" | ||
|perf. 5th | |perf. 5th | ||
|13\23, 709.09 | |13\23, 709.09 | ||
|Q | |Q | ||
|3/2 | |3/2 | ||
| Line 895: | Line 895: | ||
|- bgcolor="#eaeaff" | |- bgcolor="#eaeaff" | ||
|aug. 5th | |aug. 5th | ||
|16\23, 872.73 | |16\23, 872.73 | ||
|Q# | |Q# | ||
|5/3 | |5/3 | ||
| Line 901: | Line 901: | ||
|- | |- | ||
|dim. 6th | |dim. 6th | ||
|11\23, 600.00 | |11\23, 600.00 | ||
|Dff | |Dff | ||
|[[7/5]], [[24/17]], [[17/12]], [[10/7]] | |[[7/5]], [[24/17]], [[17/12]], [[10/7]] | ||
| Line 907: | Line 907: | ||
|- | |- | ||
|minor 6th | |minor 6th | ||
|14\23, 763.64 | |14\23, 763.64 | ||
|Df | |Df | ||
|14/9, 11/7 | |14/9, 11/7 | ||
| Line 913: | Line 913: | ||
|- | |- | ||
|major 6th | |major 6th | ||
|17\23, 927.27 | |17\23, 927.27 | ||
|D | |D | ||
|12/7 | |12/7 | ||
| Line 920: | Line 920: | ||
|- bgcolor="#eaeaff" | |- bgcolor="#eaeaff" | ||
|minor 7th | |minor 7th | ||
|15\23, 818.18 | |15\23, 818.18 | ||
|Ef | |Ef | ||
|8/5 | |8/5 | ||
| Line 926: | Line 926: | ||
|- bgcolor="#eaeaff" | |- bgcolor="#eaeaff" | ||
|major 7th | |major 7th | ||
|18\23, 981.82 | |18\23, 981.82 | ||
|E | |E | ||
|[[7/4]], [[30/17]], [[16/9]] | |[[7/4]], [[30/17]], [[16/9]] | ||
| Line 932: | Line 932: | ||
|- bgcolor="#eaeaff" | |- bgcolor="#eaeaff" | ||
|aug. 7th | |aug. 7th | ||
|21\23, 1145.455 | |21\23, 1145.455 | ||
|E# | |E# | ||
|[[31/16]], [[64/33]], [[33/17]], [[35/18]] | |[[31/16]], [[64/33]], [[33/17]], [[35/18]] | ||
| Line 938: | Line 938: | ||
|- | |- | ||
|dim. octave | |dim. octave | ||
|19\23, 1036.36 | |19\23, 1036.36 | ||
|Ff | |Ff | ||
|11/6, 20/11, 9/5 | |11/6, 20/11, 9/5 | ||
| Line 944: | Line 944: | ||
|- | |- | ||
|perf. octave | |perf. octave | ||
|22\23, 1200.00 | |22\23, 1200.00 | ||
|F | |F | ||
|2/1 | |2/1 | ||
| Line 950: | Line 950: | ||
|- | |- | ||
|aug. octave | |aug. octave | ||
|25\23, 1363.64 | |25\23, 1363.64 | ||
|F# | |F# | ||
|24/11, 11/5, 20/9 | |24/11, 11/5, 20/9 | ||
| Line 956: | Line 956: | ||
|- | |- | ||
|- bgcolor="#eaeaff" | |- bgcolor="#eaeaff" | ||
|dim. | |dim. ninth | ||
|20\23, 1090.91 | |20\23, 1090.91 | ||
|J@ | |J@ | ||
|15/8 | |15/8 | ||
| Line 980: | Line 980: | ||
|- | |- | ||
|generator (g) | |generator (g) | ||
|15\38, 486.49 | |15\38, 486.49 | ||
|21\53, 484.615 | |21\53, 484.615 | ||
|25\63, | |25\63, 483.87 | ||
|484.07 | |484.07 | ||
|4/3 | |4/3 | ||
|- | |- | ||
|L (3g - minor 9th) | |L (3g - minor 9th) | ||
|7/38, 227.03 | |7/38, 227.03 | ||
|10/53, 230.77 | |10/53, 230.77 | ||
|12/63, 232.26 | |12/63, 232.26 | ||
|231.51 | |231.51 | ||
|8/7 | |8/7 | ||
|- | |- | ||
|s (-5g + 2 minor 9ths) | |s (-5g + 2 minor 9ths) | ||
|1/38, 32.43 | |1/38, 32.43 | ||
|1/53, 23.08 | |1/53, 23.08 | ||
|1/63, 19.355 | |1/63, 19.355 | ||
|21.05 | |21.05 | ||
|50/49 81/80 91/90 | |50/49 81/80 91/90 | ||
|} | |} | ||
| Line 1,005: | Line 1,005: | ||
|- | |- | ||
!Degree | !Degree | ||
!Size in | !Size in 38edIX | ||
!Size in | !Size in 53edIX | ||
!Size in | !Size in 63edIX | ||
!Size in PNTE tuning | !Size in PNTE tuning | ||
!Note name on G | !Note name on G | ||
| Line 1,023: | Line 1,023: | ||
|- | |- | ||
|2 | |2 | ||
|7/38, 227.03 | |7/38, 227.03 | ||
|10/53, 230.77 | |10/53, 230.77 | ||
|12/63, 232.26 | |12/63, 232.26 | ||
|231.51 | |231.51 | ||
|A | |A | ||
|8/7 | |8/7 | ||
| Line 1,032: | Line 1,032: | ||
|- | |- | ||
|3 | |3 | ||
|14\38, 454.05 | |14\38, 454.05 | ||
|20\53, 461.54 | |20\53, 461.54 | ||
|24\63, 464.52 | |24\63, 464.52 | ||
|463.03 | |463.03 | ||
|B | |B | ||
|13/10, 21/16 | |13/10, 21/16 | ||
| Line 1,041: | Line 1,041: | ||
|- | |- | ||
|4 | |4 | ||
|15\38, 486.49 | |15\38, 486.49 | ||
|21\53, 484.615 | |21\53, 484.615 | ||
|25\63, 483.87 | |25\63, 483.87 | ||
|484.07 | |484.07 | ||
|C | |C | ||
|4/3 | |4/3 | ||
| Line 1,050: | Line 1,050: | ||
|- | |- | ||
|5 | |5 | ||
|22\38, 713.51 | |22\38, 713.51 | ||
|31\53, 715.385 | |31\53, 715.385 | ||
|37\63, 716.13 | |37\63, 716.13 | ||
|715.59 | |715.59 | ||
|Q | |Q | ||
|3/2 | |3/2 | ||
| Line 1,059: | Line 1,059: | ||
|- | |- | ||
|6 | |6 | ||
|29\38, 940.54 | |29\38, 940.54 | ||
|41\53, 946.15 | |41\53, 946.15 | ||
|49\63, 948.39 | |49\63, 948.39 | ||
|947.10 | |947.10 | ||
|D | |D | ||
|26/15 | |26/15 | ||
| Line 1,068: | Line 1,068: | ||
|- | |- | ||
|7 | |7 | ||
|30\38, 972.97 | |30\38, 972.97 | ||
|42\53, 969.23 | |42\53, 969.23 | ||
|50\63, 967.74 | |50\63, 967.74 | ||
|968.15 | |968.15 | ||
|E | |E | ||
|7/4 | |7/4 | ||
| Line 1,077: | Line 1,077: | ||
|- | |- | ||
|8 | |8 | ||
|37\38, 1200.00 | |37\38, 1200.00 | ||
|52\53, 1200.00 | |52\53, 1200.00 | ||
|62\63, 1200.00 | |62\63, 1200.00 | ||
|1199.66 | |1199.66 | ||
|F | |F | ||
|2/1 | |2/1 | ||