User:Lériendil/Intervals of 78edt: Difference between revisions

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Line 36: Line 36:
| [[77/75]] (+3.2c); [[65/63]] (-5.3c)
| [[77/75]] (+3.2c); [[65/63]] (-5.3c)
| ^J
| ^J
| ^E, vF
| ^^E, vvF
|-
|-
| 3
| 3
Line 68: Line 68:
| [[49/45]] (-1.1c); [[27/25]] (+13.1c)
| [[49/45]] (-1.1c); [[27/25]] (+13.1c)
| K
| K
| ^F, vGb, Dx
| ^^F, vvGb, Dx
|-
|-
| 7
| 7
Line 84: Line 84:
| [[55/49]] (-4.9c); [[39/35]] (+7.7c)
| [[55/49]] (-4.9c); [[39/35]] (+7.7c)
| ^K
| ^K
| Gb, vE#
| Gb, vvE#
|-
|-
| 9
| 9
Line 100: Line 100:
| [[15/13]] (-3.9c); [[63/55]] (+8.7c)
| [[15/13]] (-3.9c); [[63/55]] (+8.7c)
| vK#, vLb
| vK#, vLb
| ^Gb, E#
| ^^Gb, E#
|-
|-
| 11
| 11
Line 116: Line 116:
| [[77/65]] (-0.7c); [[13/11]] (+3.4c); [[25/21]] (-9.2c)
| [[77/65]] (-0.7c); [[13/11]] (+3.4c); [[25/21]] (-9.2c)
| K#, Lb
| K#, Lb
| vF#, ^E#
| vvF#, ^^E#
|-
|-
| 13
| 13
Line 148: Line 148:
| [[49/39]] (-5.0c); [[81/65]] (+9.2c)
| [[49/39]] (-5.0c); [[81/65]] (+9.2c)
| vL
| vL
| vG, ^F#
| vvG, ^^F#
|-
|-
| 17
| 17
Line 180: Line 180:
| [[65/49]] (-1.5c); [[33/25]] (+7.0c)
| [[65/49]] (-1.5c); [[33/25]] (+7.0c)
| ^L
| ^L
| ^G, vAb
| ^^G, vvAb
|-
|-
| 21
| 21
Line 212: Line 212:
| [[7/5]] (+2.7c)
| [[7/5]] (+2.7c)
| M
| M
| ^Ab, Fx
| ^^Ab, Fx
|-
|-
| 25
| 25
Line 228: Line 228:
| [[13/9]] (-2.6c)
| [[13/9]] (-2.6c)
| ^M
| ^M
| vG#
| vvG#
|-
|-
| 27
| 27
Line 260: Line 260:
| [[75/49]] (-5.4c); [[117/77]] (+7.2c)
| [[75/49]] (-5.4c); [[117/77]] (+7.2c)
| M#, Nb
| M#, Nb
| vA, ^G#
| vvA, ^^G#
|-
|-
| 31
| 31
Line 292: Line 292:
| [[21/13]] (-1.2c)
| [[21/13]] (-1.2c)
| vN
| vN
| ^A, vBb
| ^^A, vvBb
|-
|-
| 35
| 35
Line 324: Line 324:
| [[77/45]] (-3.3c)
| [[77/45]] (-3.3c)
| ^N
| ^N
| ^Bb, vCb, Gx
| ^^Bb, vvCb, Gx
|-
|-
| 39
| 39
Line 340: Line 340:
| [[135/77]] (+3.3c)
| [[135/77]] (+3.3c)
| vO
| vO
| vA#, Cb
| vvA#, Cb
|-
|-
| 41
| 41
Line 356: Line 356:
| [[9/5]] (+6.5c); [[49/27]] (-7.7c)
| [[9/5]] (+6.5c); [[49/27]] (-7.7c)
| O
| O
| A#, ^Cb
| A#, ^^Cb
|-
|-
| 43
| 43
Line 372: Line 372:
| [[13/7]] (+1.2c)
| [[13/7]] (+1.2c)
| ^O
| ^O
| vB, ^A#
| vvB, ^^A#
|-
|-
| 45
| 45
Line 404: Line 404:
| [[49/25]] (+5.4c); [[77/39]] (-7.2c)
| [[49/25]] (+5.4c); [[77/39]] (-7.2c)
| O#, Pb
| O#, Pb
| ^B, vC
| ^^B, vvC
|-
|-
| 49
| 49
Line 436: Line 436:
| [[27/13]] (+2.6c)
| [[27/13]] (+2.6c)
| vP
| vP
| ^C, vDb
| ^^C, vvDb
|-
|-
| 53
| 53
Line 452: Line 452:
| [[15/7]] (-2.7c)
| [[15/7]] (-2.7c)
| P
| P
| Db, vB#
| Db, vvB#
|-
|-
| 55
| 55
Line 468: Line 468:
| [[11/5]] (+0.5c)
| [[11/5]] (+0.5c)
| ^P
| ^P
| ^Db, B#
| ^^Db, B#
|-
|-
| 57
| 57
Line 484: Line 484:
| [[147/65]] (+1.5c); [[25/11]] (-7.0c)
| [[147/65]] (+1.5c); [[25/11]] (-7.0c)
| vQ
| vQ
| vC#, ^B#
| vvC#, ^^B#
|-
|-
| 59
| 59
Line 516: Line 516:
| [[117/49]] (+5.0c); [[65/27]] (-9.2c)
| [[117/49]] (+5.0c); [[65/27]] (-9.2c)
| ^Q
| ^Q
| vD, ^C#
| vvD, ^^C#
|-
|-
| 63
| 63
Line 548: Line 548:
| [[195/77]] (-0.7c); [[33/13]] (-3.4c); [[63/25]] (+9.2c)
| [[195/77]] (-0.7c); [[33/13]] (-3.4c); [[63/25]] (+9.2c)
| Q#, Rb
| Q#, Rb
| ^D, vEb
| ^^D, vvEb
|-
|-
| 67
| 67
Line 580: Line 580:
| [[147/55]] (+4.9c); [[35/13]] (-7.7c)
| [[147/55]] (+4.9c); [[35/13]] (-7.7c)
| vR
| vR
| ^Eb, vFb, Cx
| ^^Eb, vvFb, Cx
|-
|-
| 71
| 71
Line 596: Line 596:
| [[135/49]] (+1.1c); [[25/9]] (-13.1c)
| [[135/49]] (+1.1c); [[25/9]] (-13.1c)
| R
| R
| vD#, Fb
| vvD#, Fb
|-
|-
| 73
| 73
Line 612: Line 612:
| [[99/35]] (+4.3c); [[77/27]] (-9.9c)
| [[99/35]] (+4.3c); [[77/27]] (-9.9c)
| ^R
| ^R
| D#, ^Fb
| D#, ^^Fb
|-
|-
| 75
| 75
Line 628: Line 628:
| [[225/77]] (-3.2c); [[189/65]] (+5.3c)
| [[225/77]] (-3.2c); [[189/65]] (+5.3c)
| vJ
| vJ
| vE, ^D#
| vvE, ^^D#
|-
|-
| 77
| 77

Revision as of 14:53, 11 October 2024

Intervals

All intervals shown are within the 85-throdd limit and are consistently represented.

Steps Cents Hekts Enneatonic degree Corresponding
no-twos 19-limit
intervals 		Dubhe

(LLLLLLLLs,
J = 1/1)

Mintaka[7]
(E macro-Phrygian)
0 0 0 P1 1/1 J E
1 0 0 P1 1/1 J
2 48.8 33.3 SP1 77/75 (+3.2c); 65/63 (-5.3c) ^J ^^E, vvF
3 73.2 50 Sa1/sd2 51/49 (+3.9c); 85/81 (-10.3c) J#
4 97.5 66.7 sA1/sm2 35/33 (-4.3c); 81/77 (+9.9c) vK F
5 97.5 66.7 sA1/sm2 35/33 (-4.3c); 81/77 (+9.9c) vK
6 146.3 100 A1/m2 49/45 (-1.1c); 27/25 (+13.1c) K ^^F, vvGb, Dx
7 146.3 100 A1/m2 49/45 (-1.1c); 27/25 (+13.1c) K
8 195.1 133.3 SA1/Sm2 55/49 (-4.9c); 39/35 (+7.7c) ^K Gb, vvE#
9 219.5 150 N2 17/15 (+2.8c) K
10 243.8 166.7 sM2/sd3 15/13 (-3.9c); 63/55 (+8.7c) vK#, vLb ^^Gb, E#
11 243.8 166.7 sM2/sd3 15/13 (-3.9c); 63/55 (+8.7c) vK#, vLb
12 292.6 200 M2/d3 77/65 (-0.7c); 13/11 (+3.4c); 25/21 (-9.2c) K#, Lb vvF#, ^^E#
13 292.6 200 M2/d3 77/65 (-0.7c); 13/11 (+3.4c); 25/21 (-9.2c) K#, Lb
14 341.4 233.3 SM2/Sd3 11/9 (-6.0c) ^K#, ^Lb F#
15 365.8 250 Sa2/sd3 21/17 (-0.06c) Lb
16 390.1 266.7 sA2/sP3/sd4 49/39 (-5.0c); 81/65 (+9.2c) vL vvG, ^^F#
17 390.1 266.7 sA2/sP3/sd4 49/39 (-5.0c); 81/65 (+9.2c) vL
18 438.9 300 A2/P3/d4 9/7 (+3.8c); 35/27 (-10.3c) L G
19 438.9 300 A2/P3/d4 9/7 (+3.8c); 35/27 (-10.3c) L
20 487.7 333.3 SA2/SP3/Sd4 65/49 (-1.5c); 33/25 (+7.0c) ^L ^^G, vvAb
21 512.1 350 Sa3/sd4 85/63 (-6.5c) L#
22 536.4 366.7 sA3/sm4/sd5 15/11 (-0.5c) vM Ab
23 536.4 366.7 sA3/sm4/sd5 15/11 (-0.5c) vM
24 585.2 400 A3/m4/d5 7/5 (+2.7c) M ^^Ab, Fx
25 585.2 400 A3/m4/d5 7/5 (+2.7c) M
26 634.0 433.3 SA3/Sm4/Sd5 13/9 (-2.6c) ^M vvG#
27 658.4 450 N4/sd5 51/35 (+6.6c); 25/17 (-9.3c) M
28 682.7 466.7 sM4/sm5 49/33 (-1.6c); 81/55 (+12.6c) vM#, vNb G#
29 682.7 466.7 sM4/sm5 49/33 (-1.6c); 81/55 (+12.6c) vM#, vNb
30 731.5 500 M4/m5 75/49 (-5.4c); 117/77 (+7.2c) M#, Nb vvA, ^^G#
31 731.5 500 M4/m5 75/49 (-5.4c); 117/77 (+7.2c) M#, Nb
32 780.3 533.3 SM4/Sm5 11/7 (-2.2c); 39/25 (+10.4c) ^M#, ^Nb A
33 804.7 550 Sa4/N5 27/17 (+3.8c) Nb
34 829.0 566.7 sA4/sM5 21/13 (-1.2c) vN ^^A, vvBb
35 829.0 566.7 sA4/sM5 21/13 (-1.2c) vN
36 877.8 600 A4/M5 5/3 (-6.5c); 81/49 (+7.7c) N Bb
37 877.8 600 A4/M5 5/3 (-6.5c); 81/49 (+7.7c) N
38 926.6 633.3 SA4/SM5 77/45 (-3.3c) ^N ^^Bb, vvCb, Gx
39 951.0 650 Sa5/sd6 85/49 (-2.6c), 147/85 (+2.6c) N#
40 975.3 666.7 sA5/sm6/sd7 135/77 (+3.3c) vO vvA#, Cb
41 975.3 666.7 sA5/sm6/sd7 135/77 (+3.3c) vO
42 1024.1 700 A5/m6/d7 9/5 (+6.5c); 49/27 (-7.7c) O A#, ^^Cb
43 1024.1 700 A5/m6/d7 9/5 (+6.5c); 49/27 (-7.7c) O
44 1072.9 733.3 SA5/Sm6/Sd7 13/7 (+1.2c) ^O vvB, ^^A#
45 1097.3 750 N6/sd7 17/9 (-3.8c) O
46 1121.6 766.7 sM6/sm7 21/11 (+2.2c); 25/13 (-10.4c) vO#, vPb B
47 1121.6 766.7 sM6/sm7 21/11 (+2.2c); 25/13 (-10.4c) vO#, vPb
48 1170.4 800 M6/m7 49/25 (+5.4c); 77/39 (-7.2c) O#, Pb ^^B, vvC
49 1170.4 800 M6/m7 49/25 (+5.4c); 77/39 (-7.2c) O#, Pb
50 1219.2 833.3 SM6/Sm7 99/49 (+1.6c); 55/27 (-12.6c) ^O#, ^Pb C
51 1243.6 850 Sa6/N7 35/17 (-6.6c); 51/25 (+9.3c) Pb
52 1267.9 866.7 sA6/sM7/sd8 27/13 (+2.6c) vP ^^C, vvDb
53 1267.9 866.7 sA6/sM7/sd8 27/13 (+2.6c) vP
54 1316.7 900 A6/M7/d8 15/7 (-2.7c) P Db, vvB#
55 1316.7 900 A6/M7/d8 15/7 (-2.7c) P
56 1365.5 933.3 SA6/SM7/Sd8 11/5 (+0.5c) ^P ^^Db, B#
57 1389.9 950 Sa7/sd8 189/85 (+6.5c) P#
58 1414.2 966.7 sP8/sd9 147/65 (+1.5c); 25/11 (-7.0c) vQ vvC#, ^^B#
59 1414.2 966.7 sP8/sd9 147/65 (+1.5c); 25/11 (-7.0c) vQ
60 1463.0 1000 P8/d9 7/3 (-3.8c); 81/35 (+10.3c) Q C#
61 1463.0 1000 P8/d9 7/3 (-3.8c); 81/35 (+10.3c) Q
62 1511.8 1033.3 SP8/Sd9 117/49 (+5.0c); 65/27 (-9.2c) ^Q vvD, ^^C#
63 1536.2 1050 Sa8/sd9 17/7 (+0.06c) Q
64 1560.5 1066.7 sA8/sm9 27/11 (+6.0c) vQ#, vRb D
65 1560.5 1066.7 sA8/sm9 27/11 (+6.0c) vQ#, vRb
66 1609.3 1100 A8/m9 195/77 (-0.7c); 33/13 (-3.4c); 63/25 (+9.2c) Q#, Rb ^^D, vvEb
67 1609.3 1100 A8/m9 195/77 (-0.7c); 33/13 (-3.4c); 63/25 (+9.2c) Q#, Rb
68 1658.1 1133.3 SA8/Sm9 13/5 (+3.9c); 55/21 (-8.7c) ^Q#, ^Rb Eb
69 1682.5 1150 N9 45/17 (-2.8c) Rb
70 1706.9 1166.7 sM9/sd10 147/55 (+4.9c); 35/13 (-7.7c) vR ^^Eb, vvFb, Cx
71 1706.9 1166.7 sM9/sd10 147/55 (+4.9c); 35/13 (-7.7c) vR
72 1755.7 1200 M9/d10 135/49 (+1.1c); 25/9 (-13.1c) R vvD#, Fb
73 1755.7 1200 M9/d10 135/49 (+1.1c); 25/9 (-13.1c) R
74 1804.5 1233.3 SM9/Sd10 99/35 (+4.3c); 77/27 (-9.9c) ^R D#, ^^Fb
75 1828.8 1250 Sa9/sd10 49/17 (-3.9c); 243/85 (+10.3c) R#, Jb
76 1853.2 1266.7 sA9/sP10 225/77 (-3.2c); 189/65 (+5.3c) vJ vvE, ^^D#
77 1853.2 1266.7 sA9/sP10 225/77 (-3.2c); 189/65 (+5.3c) vJ
78 1902.0 1300 A9/P10 3/1 J E
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