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

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Line 28: Line 28:
| [[1/1]]
| [[1/1]]
| J
| J
|  
| ^E
|-
|-
| 2
| 2
Line 44: Line 44:
| [[51/49]] (+3.9c); [[85/81]] (-10.3c)
| [[51/49]] (+3.9c); [[85/81]] (-10.3c)
| J#
| J#
|  
| vF
|-
|-
| 4
| 4
Line 60: Line 60:
| [[35/33]] (-4.3c); [[81/77]] (+9.9c)
| [[35/33]] (-4.3c); [[81/77]] (+9.9c)
| vK
| vK
|  
| ^F
|-
|-
| 6
| 6
Line 76: Line 76:
| [[49/45]] (-1.1c); [[27/25]] (+13.1c)
| [[49/45]] (-1.1c); [[27/25]] (+13.1c)
| K
| K
|  
| vGb
|-
|-
| 8
| 8
Line 92: Line 92:
| [[17/15]] (+2.8c)
| [[17/15]] (+2.8c)
| K
| K
|  
| ^Gb
|-
|-
| 10
| 10
Line 108: Line 108:
| [[15/13]] (-3.9c); [[63/55]] (+8.7c)
| [[15/13]] (-3.9c); [[63/55]] (+8.7c)
| vK#, vLb
| vK#, vLb
|  
| ^E#, ^^^Gb, vvvF#
|-
|-
| 12
| 12
Line 124: Line 124:
| [[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#
|-
|-
| 14
| 14
Line 140: Line 140:
| [[21/17]] (-0.06c)
| [[21/17]] (-0.06c)
| Lb
| Lb
|  
| ^F#
|-
|-
| 16
| 16
Line 156: Line 156:
| [[49/39]] (-5.0c); [[81/65]] (+9.2c)
| [[49/39]] (-5.0c); [[81/65]] (+9.2c)
| vL
| vL
|  
| vG
|-
|-
| 18
| 18
Line 172: Line 172:
| [[9/7]] (+3.8c); [[35/27]] (-10.3c)
| [[9/7]] (+3.8c); [[35/27]] (-10.3c)
| L
| L
|  
| ^G
|-
|-
| 20
| 20
Line 188: Line 188:
| [[85/63]] (-6.5c)
| [[85/63]] (-6.5c)
| L#
| L#
|  
| vAb
|-
|-
| 22
| 22
Line 204: Line 204:
| [[15/11]] (-0.5c)
| [[15/11]] (-0.5c)
| vM
| vM
|  
| ^Ab
|-
|-
| 24
| 24
Line 220: Line 220:
| [[7/5]] (+2.7c)
| [[7/5]] (+2.7c)
| M
| M
|  
| vFx, ^^^Ab, vvvG#
|-
|-
| 26
| 26
Line 236: Line 236:
| [[51/35]] (+6.6c); [[25/17]] (-9.3c)
| [[51/35]] (+6.6c); [[25/17]] (-9.3c)
| M
| M
|  
| vG#
|-
|-
| 28
| 28
Line 252: Line 252:
| [[49/33]] (-1.6c); [[81/55]] (+12.6c)
| [[49/33]] (-1.6c); [[81/55]] (+12.6c)
| vM#, vNb
| vM#, vNb
|  
| ^G#
|-
|-
| 30
| 30
Line 268: Line 268:
| [[75/49]] (-5.4c); [[117/77]] (+7.2c)
| [[75/49]] (-5.4c); [[117/77]] (+7.2c)
| M#, Nb
| M#, Nb
|  
| vA
|-
|-
| 32
| 32
Line 284: Line 284:
| [[27/17]] (+3.8c)
| [[27/17]] (+3.8c)
| Nb
| Nb
|  
| ^A
|-
|-
| 34
| 34
Line 300: Line 300:
| [[21/13]] (-1.2c)
| [[21/13]] (-1.2c)
| vN
| vN
|  
| vBb
|-
|-
| 36
| 36
Line 316: Line 316:
| [[5/3]] (-6.5c); [[81/49]] (+7.7c)
| [[5/3]] (-6.5c); [[81/49]] (+7.7c)
| N
| N
|  
| ^Bb
|-
|-
| 38
| 38
Line 332: Line 332:
| [[85/49]] (-2.6c), [[147/85]] (+2.6c)
| [[85/49]] (-2.6c), [[147/85]] (+2.6c)
| N#
| N#
|  
| vGx, ^Cb, ^^^Bb, vvvA#
|-
|-
| 40
| 40
Line 348: Line 348:
| [[135/77]] (+3.3c)
| [[135/77]] (+3.3c)
| vO
| vO
|  
| vA#
|-
|-
| 42
| 42
Line 364: Line 364:
| [[9/5]] (+6.5c); [[49/27]] (-7.7c)
| [[9/5]] (+6.5c); [[49/27]] (-7.7c)
| O
| O
|  
| ^A#
|-
|-
| 44
| 44
Line 380: Line 380:
| [[17/9]] (-3.8c)
| [[17/9]] (-3.8c)
| O
| O
|  
| vB
|-
|-
| 46
| 46
Line 396: Line 396:
| [[21/11]] (+2.2c); [[25/13]] (-10.4c)
| [[21/11]] (+2.2c); [[25/13]] (-10.4c)
| vO#, vPb
| vO#, vPb
|  
| ^B
|-
|-
| 48
| 48
Line 412: Line 412:
| [[49/25]] (+5.4c); [[77/39]] (-7.2c)
| [[49/25]] (+5.4c); [[77/39]] (-7.2c)
| O#, Pb
| O#, Pb
|  
| vC
|-
|-
| 50
| 50
Line 428: Line 428:
| [[35/17]] (-6.6c); [[51/25]] (+9.3c)
| [[35/17]] (-6.6c); [[51/25]] (+9.3c)
| Pb
| Pb
|  
| ^C
|-
|-
| 52
| 52
Line 444: Line 444:
| [[27/13]] (+2.6c)
| [[27/13]] (+2.6c)
| vP
| vP
|  
| vDb
|-
|-
| 54
| 54
Line 460: Line 460:
| [[15/7]] (-2.7c)
| [[15/7]] (-2.7c)
| P
| P
|  
| ^Db
|-
|-
| 56
| 56
Line 476: Line 476:
| [[189/85]] (+6.5c)
| [[189/85]] (+6.5c)
| P#
| P#
|  
| ^B#, ^^^Db, vvvC#
|-
|-
| 58
| 58
Line 492: Line 492:
| [[147/65]] (+1.5c); [[25/11]] (-7.0c)
| [[147/65]] (+1.5c); [[25/11]] (-7.0c)
| vQ
| vQ
|  
| vC#
|-
|-
| 60
| 60
Line 508: Line 508:
| [[7/3]] (-3.8c); [[81/35]] (+10.3c)
| [[7/3]] (-3.8c); [[81/35]] (+10.3c)
| Q
| Q
|  
| ^C#
|-
|-
| 62
| 62
Line 524: Line 524:
| [[17/7]] (+0.06c)
| [[17/7]] (+0.06c)
| Q
| Q
|  
| vD
|-
|-
| 64
| 64
Line 540: Line 540:
| [[27/11]] (+6.0c)
| [[27/11]] (+6.0c)
| vQ#, vRb
| vQ#, vRb
|  
| ^D
|-
|-
| 66
| 66
Line 556: Line 556:
| [[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
|  
| vEb
|-
|-
| 68
| 68
Line 572: Line 572:
| [[45/17]] (-2.8c)
| [[45/17]] (-2.8c)
| Rb
| Rb
|  
| ^Eb
|-
|-
| 70
| 70
Line 588: Line 588:
| [[147/55]] (+4.9c); [[35/13]] (-7.7c)
| [[147/55]] (+4.9c); [[35/13]] (-7.7c)
| vR
| vR
|  
| ^Cx, vFb, ^^^Eb, vvvD#
|-
|-
| 72
| 72
Line 604: Line 604:
| [[135/49]] (+1.1c); [[25/9]] (-13.1c)
| [[135/49]] (+1.1c); [[25/9]] (-13.1c)
| R
| R
|  
| vD#
|-
|-
| 74
| 74
Line 620: Line 620:
| [[49/17]] (-3.9c); [[243/85]] (+10.3c)
| [[49/17]] (-3.9c); [[243/85]] (+10.3c)
| R#, Jb
| R#, Jb
|  
| ^D#
|-
|-
| 76
| 76
Line 636: Line 636:
| [[225/77]] (-3.2c); [[189/65]] (+5.3c)
| [[225/77]] (-3.2c); [[189/65]] (+5.3c)
| vJ
| vJ
|  
| vE
|-
|-
| 78
| 78

Revision as of 15:00, 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 ^E
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# vF
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 ^F
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 vGb
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 ^Gb
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 ^E#, ^^^Gb, vvvF#
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 vF#
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 ^F#
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 vG
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 ^G
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# vAb
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 ^Ab
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 vFx, ^^^Ab, vvvG#
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 vG#
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 ^G#
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 vA
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 ^A
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 vBb
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 ^Bb
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# vGx, ^Cb, ^^^Bb, vvvA#
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 vA#
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 ^A#
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 vB
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 ^B
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 vC
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 ^C
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 vDb
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 ^Db
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# ^B#, ^^^Db, vvvC#
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 vC#
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 ^C#
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 vD
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 ^D
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 vEb
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 ^Eb
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 ^Cx, vFb, ^^^Eb, vvvD#
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 vD#
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 ^D#
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 vE
78 1902.0 1300 A9/P10 3/1 J E
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