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

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Line 27: Line 27:
| P1
| P1
| [[1/1]]
| [[1/1]]
| J
|  
| ^E
| ^E
|-
|-
Line 35: Line 35:
| SP1
| SP1
| [[77/75]] (+3.2c); [[65/63]] (-5.3c)
| [[77/75]] (+3.2c); [[65/63]] (-5.3c)
| ^J
|  
| ^^E, vvF
| ^^E, vvF
|-
|-
Line 51: Line 51:
| sA1/sm2
| sA1/sm2
| [[35/33]] (-4.3c); [[81/77]] (+9.9c)
| [[35/33]] (-4.3c); [[81/77]] (+9.9c)
| vK
|  
| F
| F
|-
|-
Line 59: Line 59:
| sA1/sm2
| sA1/sm2
| [[35/33]] (-4.3c); [[81/77]] (+9.9c)
| [[35/33]] (-4.3c); [[81/77]] (+9.9c)
| vK
|  
| ^F
| ^F
|-
|-
Line 75: Line 75:
| A1/m2
| A1/m2
| [[49/45]] (-1.1c); [[27/25]] (+13.1c)
| [[49/45]] (-1.1c); [[27/25]] (+13.1c)
| K
|  
| vGb
| vGb
|-
|-
Line 83: Line 83:
| SA1/Sm2
| SA1/Sm2
| [[55/49]] (-4.9c); [[39/35]] (+7.7c)
| [[55/49]] (-4.9c); [[39/35]] (+7.7c)
| ^K
|  
| Gb, vvE#
| Gb, vvE#
|-
|-
Line 99: Line 99:
| sM2/sd3
| sM2/sd3
| [[15/13]] (-3.9c); [[63/55]] (+8.7c)
| [[15/13]] (-3.9c); [[63/55]] (+8.7c)
| vK#, vLb
|  
| ^^Gb, E#
| ^^Gb, E#
|-
|-
Line 107: Line 107:
| sM2/sd3
| sM2/sd3
| [[15/13]] (-3.9c); [[63/55]] (+8.7c)
| [[15/13]] (-3.9c); [[63/55]] (+8.7c)
| vK#, vLb
|  
| ^^^Gb, vvvF#, ^E#
| ^^^Gb, vvvF#, ^E#
|-
|-
Line 123: Line 123:
| M2/d3
| M2/d3
| [[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
|  
| vF#
| vF#
|-
|-
Line 131: Line 131:
| SM2/Sd3
| SM2/Sd3
| [[11/9]] (-6.0c)
| [[11/9]] (-6.0c)
| ^K#, ^Lb
|  
| F#
| F#
|-
|-
Line 147: Line 147:
| sA2/sP3/sd4
| sA2/sP3/sd4
| [[49/39]] (-5.0c); [[81/65]] (+9.2c)
| [[49/39]] (-5.0c); [[81/65]] (+9.2c)
| vL
|  
| vvG, ^^F#
| vvG, ^^F#
|-
|-
Line 155: Line 155:
| sA2/sP3/sd4
| sA2/sP3/sd4
| [[49/39]] (-5.0c); [[81/65]] (+9.2c)
| [[49/39]] (-5.0c); [[81/65]] (+9.2c)
| vL
|  
| vG
| vG
|-
|-
Line 171: Line 171:
| A2/P3/d4
| A2/P3/d4
| [[9/7]] (+3.8c); [[35/27]] (-10.3c)
| [[9/7]] (+3.8c); [[35/27]] (-10.3c)
| L
|  
| ^G
| ^G
|-
|-
Line 179: Line 179:
| SA2/SP3/Sd4
| SA2/SP3/Sd4
| [[65/49]] (-1.5c); [[33/25]] (+7.0c)
| [[65/49]] (-1.5c); [[33/25]] (+7.0c)
| ^L
|  
| ^^G, vvAb
| ^^G, vvAb
|-
|-
Line 195: Line 195:
| sA3/sm4/sd5
| sA3/sm4/sd5
| [[15/11]] (-0.5c)
| [[15/11]] (-0.5c)
| vM
|  
| Ab
| Ab
|-
|-
Line 203: Line 203:
| sA3/sm4/sd5
| sA3/sm4/sd5
| [[15/11]] (-0.5c)
| [[15/11]] (-0.5c)
| vM
|  
| ^Ab
| ^Ab
|-
|-
Line 219: Line 219:
| A3/m4/d5
| A3/m4/d5
| [[7/5]] (+2.7c)
| [[7/5]] (+2.7c)
| M
|  
| ^^^Ab, vvvG#, vFx
| ^^^Ab, vvvG#, vFx
|-
|-
Line 227: Line 227:
| SA3/Sm4/Sd5
| SA3/Sm4/Sd5
| [[13/9]] (-2.6c)
| [[13/9]] (-2.6c)
| ^M
|  
| vvG#
| vvG#
|-
|-
Line 243: Line 243:
| sM4/sm5
| sM4/sm5
| [[49/33]] (-1.6c); [[81/55]] (+12.6c)
| [[49/33]] (-1.6c); [[81/55]] (+12.6c)
| vM#, vNb
|  
| G#
| G#
|-
|-
Line 251: Line 251:
| sM4/sm5
| sM4/sm5
| [[49/33]] (-1.6c); [[81/55]] (+12.6c)
| [[49/33]] (-1.6c); [[81/55]] (+12.6c)
| vM#, vNb
|  
| ^G#
| ^G#
|-
|-
Line 267: Line 267:
| M4/m5
| M4/m5
| [[75/49]] (-5.4c); [[117/77]] (+7.2c)
| [[75/49]] (-5.4c); [[117/77]] (+7.2c)
| M#, Nb
|  
| vA
| vA
|-
|-
Line 275: Line 275:
| SM4/Sm5
| SM4/Sm5
| [[11/7]] (-2.2c); [[39/25]] (+10.4c)
| [[11/7]] (-2.2c); [[39/25]] (+10.4c)
| ^M#, ^Nb
|  
| A
| A
|-
|-
Line 291: Line 291:
| sA4/sM5
| sA4/sM5
| [[21/13]] (-1.2c)
| [[21/13]] (-1.2c)
| vN
|  
| ^^A, vvBb
| ^^A, vvBb
|-
|-
Line 299: Line 299:
| sA4/sM5
| sA4/sM5
| [[21/13]] (-1.2c)
| [[21/13]] (-1.2c)
| vN
|  
| vBb
| vBb
|-
|-
Line 315: Line 315:
| A4/M5
| A4/M5
| [[5/3]] (-6.5c); [[81/49]] (+7.7c)
| [[5/3]] (-6.5c); [[81/49]] (+7.7c)
| N
|  
| ^Bb
| ^Bb
|-
|-
Line 323: Line 323:
| SA4/SM5
| SA4/SM5
| [[77/45]] (-3.3c)
| [[77/45]] (-3.3c)
| ^N
|  
| ^^Bb, vvCb, Gx
| ^^Bb, vvCb, Gx
|-
|-
Line 339: Line 339:
| sA5/sm6/sd7
| sA5/sm6/sd7
| [[135/77]] (+3.3c)
| [[135/77]] (+3.3c)
| vO
|  
| vvA#, Cb
| vvA#, Cb
|-
|-
Line 347: Line 347:
| sA5/sm6/sd7
| sA5/sm6/sd7
| [[135/77]] (+3.3c)
| [[135/77]] (+3.3c)
| vO
|  
| vA#, ^Cb
| vA#, ^Cb
|-
|-
Line 363: Line 363:
| A5/m6/d7
| A5/m6/d7
| [[9/5]] (+6.5c); [[49/27]] (-7.7c)
| [[9/5]] (+6.5c); [[49/27]] (-7.7c)
| O
|  
| ^A#
| ^A#
|-
|-
Line 371: Line 371:
| SA5/Sm6/Sd7
| SA5/Sm6/Sd7
| [[13/7]] (+1.2c)
| [[13/7]] (+1.2c)
| ^O
|  
| vvB, ^^A#
| vvB, ^^A#
|-
|-
Line 387: Line 387:
| sM6/sm7
| sM6/sm7
| [[21/11]] (+2.2c); [[25/13]] (-10.4c)
| [[21/11]] (+2.2c); [[25/13]] (-10.4c)
| vO#, vPb
|  
| B
| B
|-
|-
Line 395: Line 395:
| sM6/sm7
| sM6/sm7
| [[21/11]] (+2.2c); [[25/13]] (-10.4c)
| [[21/11]] (+2.2c); [[25/13]] (-10.4c)
| vO#, vPb
|  
| ^B
| ^B
|-
|-
Line 411: Line 411:
| M6/m7
| M6/m7
| [[49/25]] (+5.4c); [[77/39]] (-7.2c)
| [[49/25]] (+5.4c); [[77/39]] (-7.2c)
| O#, Pb
|  
| vC
| vC
|-
|-
Line 419: Line 419:
| SM6/Sm7
| SM6/Sm7
| [[99/49]] (+1.6c); [[55/27]] (-12.6c)
| [[99/49]] (+1.6c); [[55/27]] (-12.6c)
| ^O#, ^Pb
|  
| C
| C
|-
|-
Line 435: Line 435:
| sA6/sM7/sd8
| sA6/sM7/sd8
| [[27/13]] (+2.6c)
| [[27/13]] (+2.6c)
| vP
|  
| ^^C, vvDb
| ^^C, vvDb
|-
|-
Line 443: Line 443:
| sA6/sM7/sd8
| sA6/sM7/sd8
| [[27/13]] (+2.6c)
| [[27/13]] (+2.6c)
| vP
|  
| vDb
| vDb
|-
|-
Line 459: Line 459:
| A6/M7/d8
| A6/M7/d8
| [[15/7]] (-2.7c)
| [[15/7]] (-2.7c)
| P
|  
| ^Db, vB#
| ^Db, vB#
|-
|-
Line 467: Line 467:
| SA6/SM7/Sd8
| SA6/SM7/Sd8
| [[11/5]] (+0.5c)
| [[11/5]] (+0.5c)
| ^P
|  
| ^^Db, B#
| ^^Db, B#
|-
|-
Line 483: Line 483:
| sP8/sd9
| sP8/sd9
| [[147/65]] (+1.5c); [[25/11]] (-7.0c)
| [[147/65]] (+1.5c); [[25/11]] (-7.0c)
| vQ
|  
| vvC#, ^^B#
| vvC#, ^^B#
|-
|-
Line 491: Line 491:
| sP8/sd9
| sP8/sd9
| [[147/65]] (+1.5c); [[25/11]] (-7.0c)
| [[147/65]] (+1.5c); [[25/11]] (-7.0c)
| vQ
|  
| vC#
| vC#
|-
|-
Line 507: Line 507:
| P8/d9
| P8/d9
| [[7/3]] (-3.8c); [[81/35]] (+10.3c)
| [[7/3]] (-3.8c); [[81/35]] (+10.3c)
| Q
|  
| ^C#
| ^C#
|-
|-
Line 515: Line 515:
| SP8/Sd9
| SP8/Sd9
| [[117/49]] (+5.0c); [[65/27]] (-9.2c)
| [[117/49]] (+5.0c); [[65/27]] (-9.2c)
| ^Q
|  
| vvD, ^^C#
| vvD, ^^C#
|-
|-
Line 531: Line 531:
| sA8/sm9
| sA8/sm9
| [[27/11]] (+6.0c)
| [[27/11]] (+6.0c)
| vQ#, vRb
|  
| D
| D
|-
|-
Line 539: Line 539:
| sA8/sm9
| sA8/sm9
| [[27/11]] (+6.0c)
| [[27/11]] (+6.0c)
| vQ#, vRb
|  
| ^D
| ^D
|-
|-
Line 555: Line 555:
| A8/m9
| A8/m9
| [[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
|  
| vEb
| vEb
|-
|-
Line 563: Line 563:
| SA8/Sm9
| SA8/Sm9
| [[13/5]] (+3.9c); [[55/21]] (-8.7c)
| [[13/5]] (+3.9c); [[55/21]] (-8.7c)
| ^Q#, ^Rb
|  
| Eb
| Eb
|-
|-
Line 579: Line 579:
| sM9/sd10
| sM9/sd10
| [[147/55]] (+4.9c); [[35/13]] (-7.7c)
| [[147/55]] (+4.9c); [[35/13]] (-7.7c)
| vR
|  
| ^^Eb, vvFb, Cx
| ^^Eb, vvFb, Cx
|-
|-
Line 587: Line 587:
| sM9/sd10
| sM9/sd10
| [[147/55]] (+4.9c); [[35/13]] (-7.7c)
| [[147/55]] (+4.9c); [[35/13]] (-7.7c)
| vR
|  
| ^^^Eb, vvvD#, vFb, ^Cx
| ^^^Eb, vvvD#, vFb, ^Cx
|-
|-
Line 603: Line 603:
| M9/d10
| M9/d10
| [[135/49]] (+1.1c); [[25/9]] (-13.1c)
| [[135/49]] (+1.1c); [[25/9]] (-13.1c)
| R
|  
| vD#, ^Fb
| vD#, ^Fb
|-
|-
Line 611: Line 611:
| SM9/Sd10
| SM9/Sd10
| [[99/35]] (+4.3c); [[77/27]] (-9.9c)
| [[99/35]] (+4.3c); [[77/27]] (-9.9c)
| ^R
|  
| D#, ^^Fb
| D#, ^^Fb
|-
|-
Line 627: Line 627:
| sA9/sP10
| sA9/sP10
| [[225/77]] (-3.2c); [[189/65]] (+5.3c)
| [[225/77]] (-3.2c); [[189/65]] (+5.3c)
| vJ
|  
| vvE, ^^D#
| vvE, ^^D#
|-
|-
Line 635: Line 635:
| sA9/sP10
| sA9/sP10
| [[225/77]] (-3.2c); [[189/65]] (+5.3c)
| [[225/77]] (-3.2c); [[189/65]] (+5.3c)
| vJ
|  
| vE
| vE
|-
|-

Revision as of 15:07, 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 ^E
2 48.8 33.3 SP1 77/75 (+3.2c); 65/63 (-5.3c) ^^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) F
5 97.5 66.7 sA1/sm2 35/33 (-4.3c); 81/77 (+9.9c) ^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) vGb
8 195.1 133.3 SA1/Sm2 55/49 (-4.9c); 39/35 (+7.7c) Gb, vvE#
9 219.5 150 N2 17/15 (+2.8c) K ^Gb, vE#
10 243.8 166.7 sM2/sd3 15/13 (-3.9c); 63/55 (+8.7c) ^^Gb, E#
11 243.8 166.7 sM2/sd3 15/13 (-3.9c); 63/55 (+8.7c) ^^^Gb, vvvF#, ^E#
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) vF#
14 341.4 233.3 SM2/Sd3 11/9 (-6.0c) 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) vvG, ^^F#
17 390.1 266.7 sA2/sP3/sd4 49/39 (-5.0c); 81/65 (+9.2c) 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) ^G
20 487.7 333.3 SA2/SP3/Sd4 65/49 (-1.5c); 33/25 (+7.0c) ^^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) Ab
23 536.4 366.7 sA3/sm4/sd5 15/11 (-0.5c) ^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) ^^^Ab, vvvG#, vFx
26 634.0 433.3 SA3/Sm4/Sd5 13/9 (-2.6c) 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) G#
29 682.7 466.7 sM4/sm5 49/33 (-1.6c); 81/55 (+12.6c) ^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) vA
32 780.3 533.3 SM4/Sm5 11/7 (-2.2c); 39/25 (+10.4c) A
33 804.7 550 Sa4/N5 27/17 (+3.8c) Nb ^A
34 829.0 566.7 sA4/sM5 21/13 (-1.2c) ^^A, vvBb
35 829.0 566.7 sA4/sM5 21/13 (-1.2c) 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) ^Bb
38 926.6 633.3 SA4/SM5 77/45 (-3.3c) ^^Bb, vvCb, Gx
39 951.0 650 Sa5/sd6 85/49 (-2.6c), 147/85 (+2.6c) N# ^^^Bb, vvvA#, ^Cb, vGx
40 975.3 666.7 sA5/sm6/sd7 135/77 (+3.3c) vvA#, Cb
41 975.3 666.7 sA5/sm6/sd7 135/77 (+3.3c) vA#, ^Cb
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) ^A#
44 1072.9 733.3 SA5/Sm6/Sd7 13/7 (+1.2c) 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) B
47 1121.6 766.7 sM6/sm7 21/11 (+2.2c); 25/13 (-10.4c) ^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) vC
50 1219.2 833.3 SM6/Sm7 99/49 (+1.6c); 55/27 (-12.6c) 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) ^^C, vvDb
53 1267.9 866.7 sA6/sM7/sd8 27/13 (+2.6c) 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) ^Db, vB#
56 1365.5 933.3 SA6/SM7/Sd8 11/5 (+0.5c) ^^Db, B#
57 1389.9 950 Sa7/sd8 189/85 (+6.5c) P# ^^^Db, vvvC#, ^B#
58 1414.2 966.7 sP8/sd9 147/65 (+1.5c); 25/11 (-7.0c) vvC#, ^^B#
59 1414.2 966.7 sP8/sd9 147/65 (+1.5c); 25/11 (-7.0c) 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) ^C#
62 1511.8 1033.3 SP8/Sd9 117/49 (+5.0c); 65/27 (-9.2c) 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) D
65 1560.5 1066.7 sA8/sm9 27/11 (+6.0c) ^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) vEb
68 1658.1 1133.3 SA8/Sm9 13/5 (+3.9c); 55/21 (-8.7c) 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) ^^Eb, vvFb, Cx
71 1706.9 1166.7 sM9/sd10 147/55 (+4.9c); 35/13 (-7.7c) ^^^Eb, vvvD#, vFb, ^Cx
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) vD#, ^Fb
74 1804.5 1233.3 SM9/Sd10 99/35 (+4.3c); 77/27 (-9.9c) 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) vvE, ^^D#
77 1853.2 1266.7 sA9/sP10 225/77 (-3.2c); 189/65 (+5.3c) vE
78 1902.0 1300 A9/P10 3/1 J E
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