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

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Created page with "== Intervals == All intervals shown are within the 85-throdd limit and are consistently represented. {| class="wikitable center-all right-2 ri..."
 
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8,044 edits
Line 20: Line 20:
| E
| E
|-
|-
| 0
| 1
| 0
| 0
| 0
| 0
Line 28: Line 28:
| E
| E
|-
|-
| 1
| 2
| 48.8
| 48.8
| 33.3
| 33.3
Line 36: Line 36:
| ^E, vF
| ^E, vF
|-
|-
| 1
| 3
| 48.8
| 73.2
| 33.3
| 50
| SP1
| Sa1/sd2
| [[77/75]] (+3.2c); [[65/63]] (-5.3c)
| [[51/49]] (+3.9c); [[85/81]] (-10.3c)
| ^J
| J#
| ^E, vF
| ^E, vF
|-
|-
| 2
| 4
| 97.5
| 97.5
| 66.7
| 66.7
Line 52: Line 52:
| F
| F
|-
|-
| 2
| 5
| 97.5
| 97.5
| 66.7
| 66.7
Line 60: Line 60:
| F
| F
|-
|-
| 3
| 6
| 146.3
| 146.3
| 100
| 100
Line 68: Line 68:
| ^F, vGb, Dx
| ^F, vGb, Dx
|-
|-
| 3
| 7
| 146.3
| 146.3
| 100
| 100
Line 76: Line 76:
| ^F, vGb, Dx
| ^F, vGb, Dx
|-
|-
| 4
| 8
| 195.1
| 195.1
| 133.3
| 133.3
Line 84: Line 84:
| Gb, vE#
| Gb, vE#
|-
|-
| 4
| 9
| 195.1
| 195.1
| 133.3
| 133.3
Line 92: Line 92:
| Gb, vE#
| Gb, vE#
|-
|-
| 5
| 10
| 243.8
| 243.8
| 166.7
| 166.7
Line 100: Line 100:
| ^Gb, E#
| ^Gb, E#
|-
|-
| 5
| 11
| 243.8
| 243.8
| 166.7
| 166.7
Line 108: Line 108:
| ^Gb, E#
| ^Gb, E#
|-
|-
| 6
| 12
| 292.6
| 292.6
| 200
| 200
Line 116: Line 116:
| vF#, ^E#
| vF#, ^E#
|-
|-
| 6
| 13
| 292.6
| 292.6
| 200
| 200
Line 124: Line 124:
| vF#, ^E#
| vF#, ^E#
|-
|-
| 7
| 14
| 341.4
| 341.4
| 233.3
| 233.3
Line 132: Line 132:
| F#
| F#
|-
|-
| 7
| 15
| 341.4
| 341.4
| 233.3
| 233.3
Line 140: Line 140:
| F#
| F#
|-
|-
| 8
| 16
| 390.1
| 390.1
| 266.7
| 266.7
Line 148: Line 148:
| vG, ^F#
| vG, ^F#
|-
|-
| 8
| 17
| 390.1
| 390.1
| 266.7
| 266.7
Line 156: Line 156:
| vG, ^F#
| vG, ^F#
|-
|-
| 9
| 18
| 438.9
| 438.9
| 300
| 300
Line 164: Line 164:
| G
| G
|-
|-
| 9
| 19
| 438.9
| 438.9
| 300
| 300
Line 172: Line 172:
| G
| G
|-
|-
| 10
| 20
| 487.7
| 487.7
| 333.3
| 333.3
Line 180: Line 180:
| ^G, vAb
| ^G, vAb
|-
|-
| 10
| 21
| 487.7
| 487.7
| 333.3
| 333.3
Line 188: Line 188:
| ^G, vAb
| ^G, vAb
|-
|-
| 11
| 22
| 536.4
| 536.4
| 366.7
| 366.7
Line 196: Line 196:
| Ab
| Ab
|-
|-
| 11
| 23
| 536.4
| 536.4
| 366.7
| 366.7
Line 204: Line 204:
| Ab
| Ab
|-
|-
| 12
| 24
| 585.2
| 585.2
| 400
| 400
Line 212: Line 212:
| ^Ab, Fx
| ^Ab, Fx
|-
|-
| 12
| 25
| 585.2
| 585.2
| 400
| 400
Line 220: Line 220:
| ^Ab, Fx
| ^Ab, Fx
|-
|-
| 13
| 26
| 634.0
| 634.0
| 433.3
| 433.3
Line 228: Line 228:
| vG#
| vG#
|-
|-
| 13
| 27
| 634.0
| 634.0
| 433.3
| 433.3
Line 236: Line 236:
| vG#
| vG#
|-
|-
| 14
| 28
| 682.7
| 682.7
| 466.7
| 466.7
Line 244: Line 244:
| G#
| G#
|-
|-
| 14
| 29
| 682.7
| 682.7
| 466.7
| 466.7
Line 252: Line 252:
| G#
| G#
|-
|-
| 15
| 30
| 731.5
| 731.5
| 500
| 500
Line 260: Line 260:
| vA, ^G#
| vA, ^G#
|-
|-
| 15
| 31
| 731.5
| 731.5
| 500
| 500
Line 268: Line 268:
| vA, ^G#
| vA, ^G#
|-
|-
| 16
| 32
| 780.3
| 780.3
| 533.3
| 533.3
Line 276: Line 276:
| A
| A
|-
|-
| 16
| 33
| 780.3
| 780.3
| 533.3
| 533.3
Line 284: Line 284:
| A
| A
|-
|-
| 17
| 34
| 829.0
| 829.0
| 566.7
| 566.7
Line 292: Line 292:
| ^A, vBb
| ^A, vBb
|-
|-
| 17
| 35
| 829.0
| 829.0
| 566.7
| 566.7
Line 300: Line 300:
| ^A, vBb
| ^A, vBb
|-
|-
| 18
| 36
| 877.8
| 877.8
| 600
| 600
Line 308: Line 308:
| Bb
| Bb
|-
|-
| 18
| 37
| 877.8
| 877.8
| 600
| 600
Line 316: Line 316:
| Bb
| Bb
|-
|-
| 19
| 38
| 926.6
| 926.6
| 633.3
| 633.3
Line 324: Line 324:
| ^Bb, vCb, Gx
| ^Bb, vCb, Gx
|-
|-
| 19
| 39
| 926.6
| 926.6
| 633.3
| 633.3
Line 332: Line 332:
| ^Bb, vCb, Gx
| ^Bb, vCb, Gx
|-
|-
| 20
| 40
| 975.3
| 975.3
| 666.7
| 666.7
Line 340: Line 340:
| vA#, Cb
| vA#, Cb
|-
|-
| 20
| 41
| 975.3
| 975.3
| 666.7
| 666.7
Line 348: Line 348:
| vA#, Cb
| vA#, Cb
|-
|-
| 21
| 42
| 1024.1
| 1024.1
| 700
| 700
Line 356: Line 356:
| A#, ^Cb
| A#, ^Cb
|-
|-
| 21
| 43
| 1024.1
| 1024.1
| 700
| 700
Line 364: Line 364:
| A#, ^Cb
| A#, ^Cb
|-
|-
| 22
| 44
| 1072.9
| 1072.9
| 733.3
| 733.3
Line 372: Line 372:
| vB, ^A#
| vB, ^A#
|-
|-
| 22
| 45
| 1072.9
| 1072.9
| 733.3
| 733.3
Line 380: Line 380:
| vB, ^A#
| vB, ^A#
|-
|-
| 23
| 46
| 1121.6
| 1121.6
| 766.7
| 766.7
Line 388: Line 388:
| B
| B
|-
|-
| 23
| 47
| 1121.6
| 1121.6
| 766.7
| 766.7
Line 396: Line 396:
| B
| B
|-
|-
| 24
| 48
| 1170.4
| 1170.4
| 800
| 800
Line 404: Line 404:
| ^B, vC
| ^B, vC
|-
|-
| 24
| 49
| 1170.4
| 1170.4
| 800
| 800
Line 412: Line 412:
| ^B, vC
| ^B, vC
|-
|-
| 25
| 50
| 1219.2
| 1219.2
| 833.3
| 833.3
Line 420: Line 420:
| C
| C
|-
|-
| 25
| 51
| 1219.2
| 1219.2
| 833.3
| 833.3
Line 428: Line 428:
| C
| C
|-
|-
| 26
| 52
| 1267.9
| 1267.9
| 866.7
| 866.7
Line 436: Line 436:
| ^C, vDb
| ^C, vDb
|-
|-
| 26
| 53
| 1267.9
| 1267.9
| 866.7
| 866.7
Line 444: Line 444:
| ^C, vDb
| ^C, vDb
|-
|-
| 27
| 54
| 1316.7
| 1316.7
| 900
| 900
Line 452: Line 452:
| Db, vB#
| Db, vB#
|-
|-
| 27
| 55
| 1316.7
| 1316.7
| 900
| 900
Line 460: Line 460:
| Db, vB#
| Db, vB#
|-
|-
| 28
| 56
| 1365.5
| 1365.5
| 933.3
| 933.3
Line 468: Line 468:
| ^Db, B#
| ^Db, B#
|-
|-
| 28
| 57
| 1365.5
| 1365.5
| 933.3
| 933.3
Line 476: Line 476:
| ^Db, B#
| ^Db, B#
|-
|-
| 29
| 58
| 1414.2
| 1414.2
| 966.7
| 966.7
Line 484: Line 484:
| vC#, ^B#
| vC#, ^B#
|-
|-
| 29
| 59
| 1414.2
| 1414.2
| 966.7
| 966.7
Line 492: Line 492:
| vC#, ^B#
| vC#, ^B#
|-
|-
| 30
| 60
| 1463.0
| 1463.0
| 1000
| 1000
Line 500: Line 500:
| C#
| C#
|-
|-
| 30
| 61
| 1463.0
| 1463.0
| 1000
| 1000
Line 508: Line 508:
| C#
| C#
|-
|-
| 31
| 62
| 1511.8
| 1511.8
| 1033.3
| 1033.3
Line 516: Line 516:
| vD, ^C#
| vD, ^C#
|-
|-
| 31
| 63
| 1511.8
| 1511.8
| 1033.3
| 1033.3
Line 524: Line 524:
| vD, ^C#
| vD, ^C#
|-
|-
| 32
| 64
| 1560.5
| 1560.5
| 1066.7
| 1066.7
Line 532: Line 532:
| D
| D
|-
|-
| 32
| 65
| 1560.5
| 1560.5
| 1066.7
| 1066.7
Line 540: Line 540:
| D
| D
|-
|-
| 33
| 66
| 1609.3
| 1609.3
| 1100
| 1100
Line 548: Line 548:
| ^D, vEb
| ^D, vEb
|-
|-
| 33
| 67
| 1609.3
| 1609.3
| 1100
| 1100
Line 556: Line 556:
| ^D, vEb
| ^D, vEb
|-
|-
| 34
| 68
| 1658.1
| 1658.1
| 1133.3
| 1133.3
Line 564: Line 564:
| Eb
| Eb
|-
|-
| 34
| 69
| 1658.1
| 1658.1
| 1133.3
| 1133.3
Line 572: Line 572:
| Eb
| Eb
|-
|-
| 35
| 70
| 1706.9
| 1706.9
| 1166.7
| 1166.7
Line 580: Line 580:
| ^Eb, vFb, Cx
| ^Eb, vFb, Cx
|-
|-
| 35
| 71
| 1706.9
| 1706.9
| 1166.7
| 1166.7
Line 588: Line 588:
| ^Eb, vFb, Cx
| ^Eb, vFb, Cx
|-
|-
| 36
| 72
| 1755.7
| 1755.7
| 1200
| 1200
Line 596: Line 596:
| vD#, Fb
| vD#, Fb
|-
|-
| 36
| 73
| 1755.7
| 1755.7
| 1200
| 1200
Line 604: Line 604:
| vD#, Fb
| vD#, Fb
|-
|-
| 37
| 74
| 1804.5
| 1804.5
| 1233.3
| 1233.3
Line 612: Line 612:
| D#, ^Fb
| D#, ^Fb
|-
|-
| 37
| 75
| 1804.5
| 1804.5
| 1233.3
| 1233.3
Line 620: Line 620:
| D#, ^Fb
| D#, ^Fb
|-
|-
| 38
| 76
| 1853.2
| 1853.2
| 1266.7
| 1266.7
Line 628: Line 628:
| vE, ^D#
| vE, ^D#
|-
|-
| 38
| 77
| 1853.2
| 1853.2
| 1266.7
| 1266.7
Line 636: Line 636:
| vE, ^D#
| vE, ^D#
|-
|-
| 39
| 78
| 1902.0
| 1902.0
| 1300
| 1300

Revision as of 14:25, 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 		Lambda
(sLsLsLsLs,
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, vF
3 73.2 50 Sa1/sd2 51/49 (+3.9c); 85/81 (-10.3c) J# ^E, 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, vGb, Dx
7 146.3 100 A1/m2 49/45 (-1.1c); 27/25 (+13.1c) K ^F, vGb, Dx
8 195.1 133.3 SA1/Sm2 55/49 (-4.9c); 39/35 (+7.7c) ^K Gb, vE#
9 195.1 133.3 SA1/Sm2 55/49 (-4.9c); 39/35 (+7.7c) ^K Gb, vE#
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 ^Gb, E#
12 292.6 200 M2/d3 77/65 (-0.7c); 13/11 (+3.4c); 25/21 (-9.2c) K#, Lb vF#, ^E#
13 292.6 200 M2/d3 77/65 (-0.7c); 13/11 (+3.4c); 25/21 (-9.2c) K#, Lb vF#, ^E#
14 341.4 233.3 SM2/Sd3 11/9 (-6.0c) ^K#, ^Lb F#
15 341.4 233.3 SM2/Sd3 11/9 (-6.0c) ^K#, ^Lb F#
16 390.1 266.7 sA2/sP3/sd4 49/39 (-5.0c); 81/65 (+9.2c) vL vG, ^F#
17 390.1 266.7 sA2/sP3/sd4 49/39 (-5.0c); 81/65 (+9.2c) vL vG, ^F#
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, vAb
21 487.7 333.3 SA2/SP3/Sd4 65/49 (-1.5c); 33/25 (+7.0c) ^L ^G, 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 ^Ab, Fx
26 634.0 433.3 SA3/Sm4/Sd5 13/9 (-2.6c) ^M vG#
27 634.0 433.3 SA3/Sm4/Sd5 13/9 (-2.6c) ^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 vA, ^G#
31 731.5 500 M4/m5 75/49 (-5.4c); 117/77 (+7.2c) M#, Nb vA, ^G#
32 780.3 533.3 SM4/Sm5 11/7 (-2.2c); 39/25 (+10.4c) ^M#, ^Nb A
33 780.3 533.3 SM4/Sm5 11/7 (-2.2c); 39/25 (+10.4c) ^M#, ^Nb A
34 829.0 566.7 sA4/sM5 21/13 (-1.2c) vN ^A, vBb
35 829.0 566.7 sA4/sM5 21/13 (-1.2c) vN ^A, 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, vCb, Gx
39 926.6 633.3 SA4/SM5 77/45 (-3.3c) ^N ^Bb, vCb, Gx
40 975.3 666.7 sA5/sm6/sd7 135/77 (+3.3c) vO vA#, Cb
41 975.3 666.7 sA5/sm6/sd7 135/77 (+3.3c) vO 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) O A#, ^Cb
44 1072.9 733.3 SA5/Sm6/Sd7 13/7 (+1.2c) ^O vB, ^A#
45 1072.9 733.3 SA5/Sm6/Sd7 13/7 (+1.2c) ^O vB, ^A#
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, vC
49 1170.4 800 M6/m7 49/25 (+5.4c); 77/39 (-7.2c) O#, Pb ^B, vC
50 1219.2 833.3 SM6/Sm7 99/49 (+1.6c); 55/27 (-12.6c) ^O#, ^Pb C
51 1219.2 833.3 SM6/Sm7 99/49 (+1.6c); 55/27 (-12.6c) ^O#, ^Pb C
52 1267.9 866.7 sA6/sM7/sd8 27/13 (+2.6c) vP ^C, vDb
53 1267.9 866.7 sA6/sM7/sd8 27/13 (+2.6c) vP ^C, vDb
54 1316.7 900 A6/M7/d8 15/7 (-2.7c) P Db, vB#
55 1316.7 900 A6/M7/d8 15/7 (-2.7c) P Db, vB#
56 1365.5 933.3 SA6/SM7/Sd8 11/5 (+0.5c) ^P ^Db, B#
57 1365.5 933.3 SA6/SM7/Sd8 11/5 (+0.5c) ^P ^Db, B#
58 1414.2 966.7 sP8/sd9 147/65 (+1.5c); 25/11 (-7.0c) vQ vC#, ^B#
59 1414.2 966.7 sP8/sd9 147/65 (+1.5c); 25/11 (-7.0c) vQ vC#, ^B#
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 vD, ^C#
63 1511.8 1033.3 SP8/Sd9 117/49 (+5.0c); 65/27 (-9.2c) ^Q vD, ^C#
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, vEb
67 1609.3 1100 A8/m9 195/77 (-0.7c); 33/13 (-3.4c); 63/25 (+9.2c) Q#, Rb ^D, vEb
68 1658.1 1133.3 SA8/Sm9 13/5 (+3.9c); 55/21 (-8.7c) ^Q#, ^Rb Eb
69 1658.1 1133.3 SA8/Sm9 13/5 (+3.9c); 55/21 (-8.7c) ^Q#, ^Rb Eb
70 1706.9 1166.7 sM9/sd10 147/55 (+4.9c); 35/13 (-7.7c) vR ^Eb, vFb, Cx
71 1706.9 1166.7 sM9/sd10 147/55 (+4.9c); 35/13 (-7.7c) vR ^Eb, vFb, Cx
72 1755.7 1200 M9/d10 135/49 (+1.1c); 25/9 (-13.1c) R vD#, Fb
73 1755.7 1200 M9/d10 135/49 (+1.1c); 25/9 (-13.1c) R vD#, Fb
74 1804.5 1233.3 SM9/Sd10 99/35 (+4.3c); 77/27 (-9.9c) ^R D#, ^Fb
75 1804.5 1233.3 SM9/Sd10 99/35 (+4.3c); 77/27 (-9.9c) ^R D#, ^Fb
76 1853.2 1266.7 sA9/sP10 225/77 (-3.2c); 189/65 (+5.3c) vJ vE, ^D#
77 1853.2 1266.7 sA9/sP10 225/77 (-3.2c); 189/65 (+5.3c) vJ vE, ^D#
78 1902.0 1300 A9/P10 3/1 J E
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