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

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Line 26: Line 26:
| 0
| 0
| P1
| P1
| [[1/1]]
|  
| ^J
| ^J
| ^E
| ^E
Line 58: Line 58:
| 66.7
| 66.7
| sA1/sm2
| sA1/sm2
| [[35/33]] (-4.3c); [[81/77]] (+9.9c)
|  
| vKb
| vKb
| ^F
| ^F
Line 74: Line 74:
| 100
| 100
| A1/m2
| A1/m2
| [[49/45]] (-1.1c); [[27/25]] (+13.1c)
|  
| ^Kb
| ^Kb
| vGb
| vGb
Line 106: Line 106:
| 166.7
| 166.7
| sM2/sd3
| sM2/sd3
| [[15/13]] (-3.9c); [[63/55]] (+8.7c)
|  
| vK#
| vK#
| ^^^Gb, vvvF#, ^E#
| ^^^Gb, vvvF#, ^E#
Line 122: Line 122:
| 200
| 200
| M2/d3
| M2/d3
| [[77/65]] (-0.7c); [[13/11]] (+3.4c); [[25/21]] (-9.2c)
|  
| ^K#
| ^K#
| vF#
| vF#
Line 154: Line 154:
| 266.7
| 266.7
| sA2/sP3/sd4
| sA2/sP3/sd4
| [[49/39]] (-5.0c); [[81/65]] (+9.2c)
|  
| vL
| vL
| vG
| vG
Line 170: Line 170:
| 300
| 300
| A2/P3/d4
| A2/P3/d4
| [[9/7]] (+3.8c); [[35/27]] (-10.3c)
|  
| ^L
| ^L
| ^G
| ^G
Line 202: Line 202:
| 366.7
| 366.7
| sA3/sm4/sd5
| sA3/sm4/sd5
| [[15/11]] (-0.5c)
|  
| vMb
| vMb
| ^Ab
| ^Ab
Line 218: Line 218:
| 400
| 400
| A3/m4/d5
| A3/m4/d5
| [[7/5]] (+2.7c)
|  
| ^Mb
| ^Mb
| ^^^Ab, vvvG#, vFx
| ^^^Ab, vvvG#, vFx
Line 250: Line 250:
| 466.7
| 466.7
| sM4/sm5
| sM4/sm5
| [[49/33]] (-1.6c); [[81/55]] (+12.6c)
|  
| vM#
| vM#
| ^G#
| ^G#
Line 266: Line 266:
| 500
| 500
| M4/m5
| M4/m5
| [[75/49]] (-5.4c); [[117/77]] (+7.2c)
|  
| ^M#
| ^M#
| vA
| vA
Line 298: Line 298:
| 566.7
| 566.7
| sA4/sM5
| sA4/sM5
| [[21/13]] (-1.2c)
|  
| vN
| vN
| vBb
| vBb
Line 314: Line 314:
| 600
| 600
| A4/M5
| A4/M5
| [[5/3]] (-6.5c); [[81/49]] (+7.7c)
|  
| ^N
| ^N
| ^Bb
| ^Bb
Line 346: Line 346:
| 666.7
| 666.7
| sA5/sm6/sd7
| sA5/sm6/sd7
| [[135/77]] (+3.3c)
|  
| vOb
| vOb
| vA#, ^Cb
| vA#, ^Cb
Line 362: Line 362:
| 700
| 700
| A5/m6/d7
| A5/m6/d7
| [[9/5]] (+6.5c); [[49/27]] (-7.7c)
|  
| ^Ob
| ^Ob
| ^A#
| ^A#
Line 394: Line 394:
| 766.7
| 766.7
| sM6/sm7
| sM6/sm7
| [[21/11]] (+2.2c); [[25/13]] (-10.4c)
|  
| vO#
| vO#
| ^B
| ^B
Line 410: Line 410:
| 800
| 800
| M6/m7
| M6/m7
| [[49/25]] (+5.4c); [[77/39]] (-7.2c)
|  
| ^O#
| ^O#
| vC
| vC
Line 442: Line 442:
| 866.7
| 866.7
| sA6/sM7/sd8
| sA6/sM7/sd8
| [[27/13]] (+2.6c)
|  
| vP
| vP
| vDb
| vDb
Line 458: Line 458:
| 900
| 900
| A6/M7/d8
| A6/M7/d8
| [[15/7]] (-2.7c)
|  
| ^P
| ^P
| ^Db, vB#
| ^Db, vB#
Line 490: Line 490:
| 966.7
| 966.7
| sP8/sd9
| sP8/sd9
| [[147/65]] (+1.5c); [[25/11]] (-7.0c)
|  
| vQb
| vQb
| vC#
| vC#
Line 506: Line 506:
| 1000
| 1000
| P8/d9
| P8/d9
| [[7/3]] (-3.8c); [[81/35]] (+10.3c)
|  
| ^Qb
| ^Qb
| ^C#
| ^C#
Line 538: Line 538:
| 1066.7
| 1066.7
| sA8/sm9
| sA8/sm9
| [[27/11]] (+6.0c)
|  
| vQ#
| vQ#
| ^D
| ^D
Line 554: Line 554:
| 1100
| 1100
| A8/m9
| A8/m9
| [[195/77]] (-0.7c); [[33/13]] (-3.4c); [[63/25]] (+9.2c)
|  
| ^Q#
| ^Q#
| vEb
| vEb
Line 586: Line 586:
| 1166.7
| 1166.7
| sM9/sd10
| sM9/sd10
| [[147/55]] (+4.9c); [[35/13]] (-7.7c)
|  
| vR
| vR
| ^^^Eb, vvvD#, vFb, ^Cx
| ^^^Eb, vvvD#, vFb, ^Cx
Line 602: Line 602:
| 1200
| 1200
| M9/d10
| M9/d10
| [[135/49]] (+1.1c); [[25/9]] (-13.1c)
|  
| ^R
| ^R
| vD#, ^Fb
| vD#, ^Fb
Line 634: Line 634:
| 1266.7
| 1266.7
| sA9/sP10
| sA9/sP10
| [[225/77]] (-3.2c); [[189/65]] (+5.3c)
|  
| vJ
| vJ
| vE
| vE

Revision as of 15:14, 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 ^J ^E
2 48.8 33.3 SP1 77/75 (+3.2c); 65/63 (-5.3c) vJ# ^^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) ^J# F
5 97.5 66.7 sA1/sm2 vKb ^F
6 146.3 100 A1/m2 49/45 (-1.1c); 27/25 (+13.1c) Kb ^^F, vvGb, Dx
7 146.3 100 A1/m2 ^Kb vGb
8 195.1 133.3 SA1/Sm2 55/49 (-4.9c); 39/35 (+7.7c) vK 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) ^K ^^Gb, E#
11 243.8 166.7 sM2/sd3 vK# ^^^Gb, vvvF#, ^E#
12 292.6 200 M2/d3 77/65 (-0.7c); 13/11 (+3.4c); 25/21 (-9.2c) K# vvF#, ^^E#
13 292.6 200 M2/d3 ^K# vF#
14 341.4 233.3 SM2/Sd3 11/9 (-6.0c) vLb 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) ^Lb vvG, ^^F#
17 390.1 266.7 sA2/sP3/sd4 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 ^L ^G
20 487.7 333.3 SA2/SP3/Sd4 65/49 (-1.5c); 33/25 (+7.0c) vL# ^^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) ^L# Ab
23 536.4 366.7 sA3/sm4/sd5 vMb ^Ab
24 585.2 400 A3/m4/d5 7/5 (+2.7c) Mb ^^Ab, Fx
25 585.2 400 A3/m4/d5 ^Mb ^^^Ab, vvvG#, vFx
26 634.0 433.3 SA3/Sm4/Sd5 13/9 (-2.6c) vM 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) ^M G#
29 682.7 466.7 sM4/sm5 vM# ^G#
30 731.5 500 M4/m5 75/49 (-5.4c); 117/77 (+7.2c) M# vvA, ^^G#
31 731.5 500 M4/m5 ^M# vA
32 780.3 533.3 SM4/Sm5 11/7 (-2.2c); 39/25 (+10.4c) vNb A
33 804.7 550 Sa4/N5 27/17 (+3.8c) Nb ^A
34 829.0 566.7 sA4/sM5 21/13 (-1.2c) ^Nb ^^A, vvBb
35 829.0 566.7 sA4/sM5 vN vBb
36 877.8 600 A4/M5 5/3 (-6.5c); 81/49 (+7.7c) N Bb
37 877.8 600 A4/M5 ^N ^Bb
38 926.6 633.3 SA4/SM5 77/45 (-3.3c) vN# ^^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) ^N# vvA#, Cb
41 975.3 666.7 sA5/sm6/sd7 vOb vA#, ^Cb
42 1024.1 700 A5/m6/d7 9/5 (+6.5c); 49/27 (-7.7c) Ob A#, ^^Cb
43 1024.1 700 A5/m6/d7 ^Ob ^A#
44 1072.9 733.3 SA5/Sm6/Sd7 13/7 (+1.2c) vO 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) ^O B
47 1121.6 766.7 sM6/sm7 vO# ^B
48 1170.4 800 M6/m7 49/25 (+5.4c); 77/39 (-7.2c) O# ^^B, vvC
49 1170.4 800 M6/m7 ^O# vC
50 1219.2 833.3 SM6/Sm7 99/49 (+1.6c); 55/27 (-12.6c) vPb 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) ^Pb ^^C, vvDb
53 1267.9 866.7 sA6/sM7/sd8 vP vDb
54 1316.7 900 A6/M7/d8 15/7 (-2.7c) P Db, vvB#
55 1316.7 900 A6/M7/d8 ^P ^Db, vB#
56 1365.5 933.3 SA6/SM7/Sd8 11/5 (+0.5c) vP# ^^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) ^P# vvC#, ^^B#
59 1414.2 966.7 sP8/sd9 vQb vC#
60 1463.0 1000 P8/d9 7/3 (-3.8c); 81/35 (+10.3c) Qb C#
61 1463.0 1000 P8/d9 ^Qb ^C#
62 1511.8 1033.3 SP8/Sd9 117/49 (+5.0c); 65/27 (-9.2c) vQ 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) ^Q D
65 1560.5 1066.7 sA8/sm9 vQ# ^D
66 1609.3 1100 A8/m9 195/77 (-0.7c); 33/13 (-3.4c); 63/25 (+9.2c) Q# ^^D, vvEb
67 1609.3 1100 A8/m9 ^Q# vEb
68 1658.1 1133.3 SA8/Sm9 13/5 (+3.9c); 55/21 (-8.7c) vRb 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) ^Rb ^^Eb, vvFb, Cx
71 1706.9 1166.7 sM9/sd10 vR ^^^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 ^R vD#, ^Fb
74 1804.5 1233.3 SM9/Sd10 99/35 (+4.3c); 77/27 (-9.9c) vR#, vJb 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) ^R#, ^Jb vvE, ^^D#
77 1853.2 1266.7 sA9/sP10 vJ vE
78 1902.0 1300 A9/P10 3/1 J E