User:Lériendil/Intervals of 78edt: Difference between revisions
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== Intervals == | == Intervals == | ||
All intervals shown are within the | All intervals shown are within the 119-[[odd limit#Nonoctave equaves|throdd limit]] and are consistently represented. | ||
{| class="wikitable center-all right-2 right-3" | {| class="wikitable center-all right-2 right-3" | ||
| Line 7: | Line 7: | ||
! [[Cent]]s | ! [[Cent]]s | ||
! [[Hekt]]s | ! [[Hekt]]s | ||
! Corresponding<br />3.5.7.11.17 subgroup<br />intervals | |||
! Corresponding<br /> | ! Corresponding<br />intervals of 13 and 19 | ||
! | ! Dubhe | ||
(LLLLLLLLs, <br> | |||
J = 1/1) | |||
! Mintaka[7]<br />(E macro-Phrygian) | ! Mintaka[7]<br />(E macro-Phrygian) | ||
|- | |- | ||
| Line 15: | Line 17: | ||
| 0 | | 0 | ||
| 0 | | 0 | ||
| [[1/1]] | | [[1/1]] | ||
| | |||
| J | | J | ||
| E | | E | ||
| Line 23: | Line 25: | ||
| 0 | | 0 | ||
| 0 | | 0 | ||
| | | | ||
| | | | ||
| J | | ^J | ||
| E | | ^E | ||
|- | |- | ||
| 2 | | 2 | ||
| 48.8 | | 48.8 | ||
| 33.3 | | 33.3 | ||
| [[77/75]] (+3.2c) | |||
| [[77/75]] (+3.2c) | | [[65/63]] (-5.3c) | ||
| | | vJ# | ||
| ^E, | | ^^E, vvF | ||
|- | |- | ||
| 3 | | 3 | ||
| 73.2 | | 73.2 | ||
| 50 | | 50 | ||
| [[51/49]] (+3.9c); [[85/81]] (-10.3c) | | [[51/49]] (+3.9c); [[85/81]] (-10.3c) | ||
| | |||
| J# | | J# | ||
| | | vF | ||
|- | |- | ||
| 4 | | 4 | ||
| 97.5 | | 97.5 | ||
| 66.7 | | 66.7 | ||
| [[35/33]] (-4.3c); [[81/77]] (+9.9c) | | [[35/33]] (-4.3c); [[81/77]] (+9.9c) | ||
| | | | ||
| ^J# | |||
| F | | F | ||
|- | |- | ||
| Line 55: | Line 57: | ||
| 97.5 | | 97.5 | ||
| 66.7 | | 66.7 | ||
| | | | ||
| | | | ||
| | | vKb | ||
| F | | ^F | ||
|- | |- | ||
| 6 | | 6 | ||
| 146.3 | | 146.3 | ||
| 100 | | 100 | ||
| [[49/45]] (-1.1c) | |||
| [[49/45]] (-1.1c) | | [[99/91]] (+0.4c) | ||
| | | Kb | ||
| ^F, | | ^^F, vvGb, Dx | ||
|- | |- | ||
| 7 | | 7 | ||
| 146.3 | | 146.3 | ||
| 100 | | 100 | ||
| | | | ||
| | | | ||
| | | ^Kb | ||
| | | vGb | ||
|- | |- | ||
| 8 | | 8 | ||
| 195.1 | | 195.1 | ||
| 133.3 | | 133.3 | ||
| [[55/49]] (-4.9c) | |||
| [[55/49]] (-4.9c); [[39/35]] (+7.7c) | | [[91/81]] (-6.5c); [[39/35]] (+7.7c) | ||
| | | vK | ||
| Gb, | | Gb, vvE# | ||
|- | |- | ||
| 9 | | 9 | ||
| 219.5 | | 219.5 | ||
| 150 | | 150 | ||
| | | [[135/119]] (+1.1c); [[17/15]] (+2.8c) | ||
| | |||
| K | | K | ||
| ^ | | ^Gb, vE# | ||
|- | |- | ||
| 10 | | 10 | ||
| 243.8 | | 243.8 | ||
| 166.7 | | 166.7 | ||
| | | [[63/55]] (+8.7c) | ||
| [[15/13]] (-3.9c | | [[15/13]] (-3.9c) | ||
| | | ^K | ||
| ^Gb, E# | | ^^Gb, E# | ||
|- | |- | ||
| 11 | | 11 | ||
| 243.8 | | 243.8 | ||
| 166.7 | | 166.7 | ||
| | | | ||
| | | | ||
| vK# | | vK# | ||
| ^Gb, E# | | ^^^Gb, vvvF#, ^E# | ||
|- | |- | ||
| 12 | | 12 | ||
| 292.6 | | 292.6 | ||
| 200 | | 200 | ||
| | | [[25/21]] (-9.2c) | ||
| [[77/65]] (-0.7c); [[13/11]] (+3.4c | | [[77/65]] (-0.7c); [[13/11]] (+3.4c) | ||
| K# | | K# | ||
| | | vvF#, ^^E# | ||
|- | |- | ||
| 13 | | 13 | ||
| 292.6 | | 292.6 | ||
| 200 | | 200 | ||
| | | | ||
| | | | ||
| K# | | ^K# | ||
| vF | | vF# | ||
|- | |- | ||
| 14 | | 14 | ||
| 341.4 | | 341.4 | ||
| 233.3 | | 233.3 | ||
| [[11/9]] (-6.0c) | | [[11/9]] (-6.0c) | ||
| | | [[91/75]] (+6.6c) | ||
| vLb | |||
| F# | | F# | ||
|- | |- | ||
| Line 135: | Line 137: | ||
| 365.8 | | 365.8 | ||
| 250 | | 250 | ||
| [[21/17]] (-0.06c) | | [[21/17]] (-0.06c) | ||
| | |||
| Lb | | Lb | ||
| | | ^F# | ||
|- | |- | ||
| 16 | | 16 | ||
| 390.1 | | 390.1 | ||
| 266.7 | | 266.7 | ||
| | | | ||
| [[49/39]] (-5.0c); [[81/65]] (+9.2c) | | [[49/39]] (-5.0c); [[81/65]] (+9.2c) | ||
| | | ^Lb | ||
| | | vvG, ^^F# | ||
|- | |- | ||
| 17 | | 17 | ||
| 390.1 | | 390.1 | ||
| 266.7 | | 266.7 | ||
| | | | ||
| | | | ||
| vL | | vL | ||
| vG | | vG | ||
|- | |- | ||
| 18 | | 18 | ||
| 438.9 | | 438.9 | ||
| 300 | | 300 | ||
| [[9/7]] (+3.8c); [[35/27]] (-10.3c) | | [[9/7]] (+3.8c); [[35/27]] (-10.3c) | ||
| | |||
| L | | L | ||
| G | | G | ||
| Line 167: | Line 169: | ||
| 438.9 | | 438.9 | ||
| 300 | | 300 | ||
| | | | ||
| | | | ||
| L | | ^L | ||
| G | | ^G | ||
|- | |- | ||
| 20 | | 20 | ||
| 487.7 | | 487.7 | ||
| 333.3 | | 333.3 | ||
| | | [[33/25]] (+7.0c) | ||
| [[65/49]] (-1.5c | | [[65/49]] (-1.5c) | ||
| | | vL# | ||
| ^G, | | ^^G, vvAb | ||
|- | |- | ||
| 21 | | 21 | ||
| 512.1 | | 512.1 | ||
| 350 | | 350 | ||
| [[85/63]] (-6.5c) | | [[85/63]] (-6.5c) | ||
| | |||
| L# | | L# | ||
| | | vAb | ||
|- | |- | ||
| 22 | | 22 | ||
| 536.4 | | 536.4 | ||
| 366.7 | | 366.7 | ||
| [[15/11]] (-0.5c) | | [[15/11]] (-0.5c) | ||
| | | | ||
| ^L# | |||
| Ab | | Ab | ||
|- | |- | ||
| Line 199: | Line 201: | ||
| 536.4 | | 536.4 | ||
| 366.7 | | 366.7 | ||
| | | | ||
| | | | ||
| | | vMb | ||
| Ab | | ^Ab | ||
|- | |- | ||
| 24 | | 24 | ||
| 585.2 | | 585.2 | ||
| 400 | | 400 | ||
| [[7/5]] (+2.7c) | | [[7/5]] (+2.7c) | ||
| | | | ||
| ^Ab, Fx | | Mb | ||
| ^^Ab, Fx | |||
|- | |- | ||
| 25 | | 25 | ||
| 585.2 | | 585.2 | ||
| 400 | | 400 | ||
| | | | ||
| | | | ||
| | | ^Mb | ||
| ^Ab, | | ^^^Ab, vvvG#, vFx | ||
|- | |- | ||
| 26 | | 26 | ||
| 634.0 | | 634.0 | ||
| 433.3 | | 433.3 | ||
| | | | ||
| [[13/9]] (-2.6c) | | [[13/9]] (-2.6c) | ||
| | | vM | ||
| | | vvG# | ||
|- | |- | ||
| 27 | | 27 | ||
| 658.4 | | 658.4 | ||
| 450 | | 450 | ||
| [[51/35]] (+6.6c); [[119/81]] (-7.6c); [[25/17]] (-9.3c) | |||
| [[51/35]] (+6.6c); [[25/17]] (-9.3c) | | | ||
| M | | M | ||
| | | vG# | ||
|- | |- | ||
| 28 | | 28 | ||
| 682.7 | | 682.7 | ||
| 466.7 | | 466.7 | ||
| [[49/33]] (-1.6c); [[81/55]] (+12.6c) | | [[49/33]] (-1.6c); [[81/55]] (+12.6c) | ||
| | | [[135/91]] (+0.07c) | ||
| ^M | |||
| G# | | G# | ||
|- | |- | ||
| Line 247: | Line 249: | ||
| 682.7 | | 682.7 | ||
| 466.7 | | 466.7 | ||
| | | | ||
| | | | ||
| vM# | | vM# | ||
| G# | | ^G# | ||
|- | |- | ||
| 30 | | 30 | ||
| 731.5 | | 731.5 | ||
| 500 | | 500 | ||
| [[75/49]] (-5.4c) | |||
| [[75/49]] (-5.4c) | | [[117/77]] (+7.2c) | ||
| M# | | M# | ||
| | | vvA, ^^G# | ||
|- | |- | ||
| 31 | | 31 | ||
| 731.5 | | 731.5 | ||
| 500 | | 500 | ||
| | | | ||
| | | | ||
| M# | | ^M# | ||
| vA | | vA | ||
|- | |- | ||
| 32 | | 32 | ||
| 780.3 | | 780.3 | ||
| 533.3 | | 533.3 | ||
| [[11/7]] (-2.2c) | |||
| [[11/7]] (-2.2c) | | [[39/25]] (+10.4c) | ||
| | | vNb | ||
| A | | A | ||
|- | |- | ||
| Line 279: | Line 281: | ||
| 804.7 | | 804.7 | ||
| 550 | | 550 | ||
| [[27/17]] (+3.8c); [[119/75]] (+5.5c) | |||
| [[27/17]] (+3.8c) | | | ||
| Nb | | Nb | ||
| | | ^A | ||
|- | |- | ||
| 34 | | 34 | ||
| 829.0 | | 829.0 | ||
| 566.7 | | 566.7 | ||
| | | | ||
| [[21/13]] (-1.2c) | | [[21/13]] (-1.2c) | ||
| | | ^Nb | ||
| ^A, | | ^^A, vvBb | ||
|- | |- | ||
| 35 | | 35 | ||
| 829.0 | | 829.0 | ||
| 566.7 | | 566.7 | ||
| | | | ||
| | | | ||
| vN | | vN | ||
| | | vBb | ||
|- | |- | ||
| 36 | | 36 | ||
| 877.8 | | 877.8 | ||
| 600 | | 600 | ||
| [[5/3]] (-6.5c); [[81/49]] (+7.7c) | | [[5/3]] (-6.5c); [[81/49]] (+7.7c) | ||
| [[91/55]] (+6.1c) | |||
| N | | N | ||
| Bb | | Bb | ||
| Line 311: | Line 313: | ||
| 877.8 | | 877.8 | ||
| 600 | | 600 | ||
| | | | ||
| | | | ||
| N | | ^N | ||
| Bb | | ^Bb | ||
|- | |- | ||
| 38 | | 38 | ||
| 926.6 | | 926.6 | ||
| 633.3 | | 633.3 | ||
| [[77/45]] (-3.3c) | | [[77/45]] (-3.3c) | ||
| | | | ||
| ^Bb, | | vN# | ||
| ^^Bb, vvCb, Gx | |||
|- | |- | ||
| 39 | | 39 | ||
| 951.0 | | 951.0 | ||
| 650 | | 650 | ||
| [[85/49]] (-2.6c), [[147/85]] (+2.6c) | | [[85/49]] (-2.6c), [[147/85]] (+2.6c) | ||
| | |||
| N# | | N# | ||
| ^ | | ^^^Bb, vvvA#, ^Cb, vGx | ||
|- | |- | ||
| 40 | | 40 | ||
| 975.3 | | 975.3 | ||
| 666.7 | | 666.7 | ||
| [[135/77]] (+3.3c) | | [[135/77]] (+3.3c) | ||
| | | | ||
| | | ^N# | ||
| vvA#, Cb | |||
|- | |- | ||
| 41 | | 41 | ||
| 975.3 | | 975.3 | ||
| 666.7 | | 666.7 | ||
| | | | ||
| | | | ||
| | | vOb | ||
| vA#, Cb | | vA#, ^Cb | ||
|- | |- | ||
| 42 | | 42 | ||
| 1024.1 | | 1024.1 | ||
| 700 | | 700 | ||
| [[9/5]] (+6.5c); [[49/27]] (-7.7c) | | [[9/5]] (+6.5c); [[49/27]] (-7.7c) | ||
| | | [[165/91]] (-6.1c) | ||
| A#, ^Cb | | Ob | ||
| A#, ^^Cb | |||
|- | |- | ||
| 43 | | 43 | ||
| 1024.1 | | 1024.1 | ||
| 700 | | 700 | ||
| | | | ||
| | | | ||
| | | ^Ob | ||
| A# | | ^A# | ||
|- | |- | ||
| 44 | | 44 | ||
| 1072.9 | | 1072.9 | ||
| 733.3 | | 733.3 | ||
| | | | ||
| [[13/7]] (+1.2c) | | [[13/7]] (+1.2c) | ||
| | | vO | ||
| | | vvB, ^^A# | ||
|- | |- | ||
| 45 | | 45 | ||
| 1097.3 | | 1097.3 | ||
| 750 | | 750 | ||
| [[17/9]] (-3.8c); [[225/119]] (-5.5c) | |||
| [[17/9]] (-3.8c) | | | ||
| O | | O | ||
| | | vB | ||
|- | |- | ||
| 46 | | 46 | ||
| 1121.6 | | 1121.6 | ||
| 766.7 | | 766.7 | ||
| [[21/11]] (+2.2c) | |||
| [[21/11]] (+2.2c) | | [[25/13]] (-10.4c) | ||
| | | ^O | ||
| B | | B | ||
|- | |- | ||
| Line 391: | Line 393: | ||
| 1121.6 | | 1121.6 | ||
| 766.7 | | 766.7 | ||
| | | | ||
| | | | ||
| vO# | | vO# | ||
| B | | ^B | ||
|- | |- | ||
| 48 | | 48 | ||
| 1170.4 | | 1170.4 | ||
| 800 | | 800 | ||
| [[49/25]] (+5.4c) | |||
| [[49/25]] (+5.4c) | | [[77/39]] (-7.2c) | ||
| O# | | O# | ||
| ^B, | | ^^B, vvC | ||
|- | |- | ||
| 49 | | 49 | ||
| 1170.4 | | 1170.4 | ||
| 800 | | 800 | ||
| | | | ||
| | | | ||
| O# | | ^O# | ||
| | | vC | ||
|- | |- | ||
| 50 | | 50 | ||
| 1219.2 | | 1219.2 | ||
| 833.3 | | 833.3 | ||
| [[99/49]] (+1.6c); [[55/27]] (-12.6c) | | [[99/49]] (+1.6c); [[55/27]] (-12.6c) | ||
| | | [[91/45]] (+0.07c) | ||
| vPb | |||
| C | | C | ||
|- | |- | ||
| Line 423: | Line 425: | ||
| 1243.6 | | 1243.6 | ||
| 850 | | 850 | ||
| [[35/17]] (-6.6c); [[243/119]] (+7.6c); [[51/25]] (+9.3c) | |||
| [[35/17]] (-6.6c); [[51/25]] (+9.3c) | | | ||
| Pb | | Pb | ||
| | | ^C | ||
|- | |- | ||
| 52 | | 52 | ||
| 1267.9 | | 1267.9 | ||
| 866.7 | | 866.7 | ||
| | | | ||
| [[27/13]] (+2.6c) | | [[27/13]] (+2.6c) | ||
| | | ^Pb | ||
| ^C, | | ^^C, vvDb | ||
|- | |- | ||
| 53 | | 53 | ||
| 1267.9 | | 1267.9 | ||
| 866.7 | | 866.7 | ||
| | | | ||
| | | | ||
| vP | | vP | ||
| | | vDb | ||
|- | |- | ||
| 54 | | 54 | ||
| 1316.7 | | 1316.7 | ||
| 900 | | 900 | ||
| [[15/7]] (-2.7c) | | [[15/7]] (-2.7c) | ||
| | |||
| P | | P | ||
| Db, | | Db, vvB# | ||
|- | |- | ||
| 55 | | 55 | ||
| 1316.7 | | 1316.7 | ||
| 900 | | 900 | ||
| | | | ||
| | | | ||
| P | | ^P | ||
| Db, vB# | | ^Db, vB# | ||
|- | |- | ||
| 56 | | 56 | ||
| 1365.5 | | 1365.5 | ||
| 933.3 | | 933.3 | ||
| [[11/5]] (+0.5c) | | [[11/5]] (+0.5c) | ||
| | | | ||
| ^Db, B# | | vP# | ||
| ^^Db, B# | |||
|- | |- | ||
| 57 | | 57 | ||
| 1389.9 | | 1389.9 | ||
| 950 | | 950 | ||
| [[189/85]] (+6.5c) | | [[189/85]] (+6.5c) | ||
| | |||
| P# | | P# | ||
| ^B | | ^^^Db, vvvC#, ^B# | ||
|- | |- | ||
| 58 | | 58 | ||
| 1414.2 | | 1414.2 | ||
| 966.7 | | 966.7 | ||
| | | [[25/11]] (-7.0c) | ||
| [[147/65]] (+1.5c | | [[147/65]] (+1.5c) | ||
| | | ^P# | ||
| | | vvC#, ^^B# | ||
|- | |- | ||
| 59 | | 59 | ||
| 1414.2 | | 1414.2 | ||
| 966.7 | | 966.7 | ||
| | | | ||
| | | | ||
| | | vQb | ||
| vC | | vC# | ||
|- | |- | ||
| 60 | | 60 | ||
| 1463.0 | | 1463.0 | ||
| 1000 | | 1000 | ||
| [[7/3]] (-3.8c); [[81/35]] (+10.3c) | | [[7/3]] (-3.8c); [[81/35]] (+10.3c) | ||
| | | | ||
| Qb | |||
| C# | | C# | ||
|- | |- | ||
| Line 503: | Line 505: | ||
| 1463.0 | | 1463.0 | ||
| 1000 | | 1000 | ||
| | | | ||
| | | | ||
| | | ^Qb | ||
| C# | | ^C# | ||
|- | |- | ||
| 62 | | 62 | ||
| 1511.8 | | 1511.8 | ||
| 1033.3 | | 1033.3 | ||
| | | | ||
| [[117/49]] (+5.0c); [[65/27]] (-9.2c) | | [[117/49]] (+5.0c); [[65/27]] (-9.2c) | ||
| | | vQ | ||
| | | vvD, ^^C# | ||
|- | |- | ||
| 63 | | 63 | ||
| 1536.2 | | 1536.2 | ||
| 1050 | | 1050 | ||
| [[17/7]] (+0.06c) | | [[17/7]] (+0.06c) | ||
| | |||
| Q | | Q | ||
| | | vD | ||
|- | |- | ||
| 64 | | 64 | ||
| 1560.5 | | 1560.5 | ||
| 1066.7 | | 1066.7 | ||
| [[27/11]] (+6.0c) | | [[27/11]] (+6.0c) | ||
| | | [[225/91]] (+6.6c) | ||
| ^Q | |||
| D | | D | ||
|- | |- | ||
| Line 535: | Line 537: | ||
| 1560.5 | | 1560.5 | ||
| 1066.7 | | 1066.7 | ||
| | | | ||
| | | | ||
| vQ# | | vQ# | ||
| D | | ^D | ||
|- | |- | ||
| 66 | | 66 | ||
| 1609.3 | | 1609.3 | ||
| 1100 | | 1100 | ||
| | | [[63/25]] (+9.2c) | ||
| [[195/77]] (-0.7c); [[33/13]] (-3.4c | | [[195/77]] (-0.7c); [[33/13]] (-3.4c) | ||
| Q# | | Q# | ||
| ^D, | | ^^D, vvEb | ||
|- | |- | ||
| 67 | | 67 | ||
| 1609.3 | | 1609.3 | ||
| 1100 | | 1100 | ||
| | | | ||
| | | | ||
| Q# | | ^Q# | ||
| | | vEb | ||
|- | |- | ||
| 68 | | 68 | ||
| 1658.1 | | 1658.1 | ||
| 1133.3 | | 1133.3 | ||
| | | [[55/21]] (-8.7c) | ||
| [[13/5]] (+3.9c | | [[13/5]] (+3.9c) | ||
| | | vRb | ||
| Eb | | Eb | ||
|- | |- | ||
| Line 567: | Line 569: | ||
| 1682.5 | | 1682.5 | ||
| 1150 | | 1150 | ||
| | | [[119/45]] (-1.1c); [[45/17]] (-2.8c) | ||
| | |||
| Rb | | Rb | ||
| | | ^Eb | ||
|- | |- | ||
| 70 | | 70 | ||
| 1706.9 | | 1706.9 | ||
| 1166.7 | | 1166.7 | ||
| [[147/55]] (+4.9c) | |||
| [[147/55]] (+4.9c); [[35/13]] (-7.7c) | | [[243/91]] (+6.5c); [[35/13]] (-7.7c) | ||
| | | ^Rb | ||
| ^Eb, | | ^^Eb, vvFb, Cx | ||
|- | |- | ||
| 71 | | 71 | ||
| 1706.9 | | 1706.9 | ||
| 1166.7 | | 1166.7 | ||
| | | | ||
| | | | ||
| vR | | vR | ||
| ^Eb, vFb, Cx | | ^^^Eb, vvvD#, vFb, ^Cx | ||
|- | |- | ||
| 72 | | 72 | ||
| 1755.7 | | 1755.7 | ||
| 1200 | | 1200 | ||
| [[135/49]] (+1.1c) | |||
| [[135/49]] (+1.1c) | | [[91/33]] (+0.4c) | ||
| R | | R | ||
| | | vvD#, Fb | ||
|- | |- | ||
| 73 | | 73 | ||
| 1755.7 | | 1755.7 | ||
| 1200 | | 1200 | ||
| | | | ||
| | | | ||
| R | | ^R | ||
| vD#, Fb | | vD#, ^Fb | ||
|- | |- | ||
| 74 | | 74 | ||
| 1804.5 | | 1804.5 | ||
| 1233.3 | | 1233.3 | ||
| [[99/35]] (+4.3c); [[77/27]] (-9.9c) | | [[99/35]] (+4.3c); [[77/27]] (-9.9c) | ||
| | | | ||
| D#, ^Fb | | vR#, vJb | ||
| D#, ^^Fb | |||
|- | |- | ||
| 75 | | 75 | ||
| 1828.8 | | 1828.8 | ||
| 1250 | | 1250 | ||
| [[49/17]] (-3.9c); [[243/85]] (+10.3c) | | [[49/17]] (-3.9c); [[243/85]] (+10.3c) | ||
| | |||
| R#, Jb | | R#, Jb | ||
| ^D | | ^D# | ||
|- | |- | ||
| 76 | | 76 | ||
| 1853.2 | | 1853.2 | ||
| 1266.7 | | 1266.7 | ||
| [[225/77]] (-3.2c) | |||
| [[225/77]] (-3.2c) | | [[189/65]] (+5.3c) | ||
| | | ^R#, ^Jb | ||
| | | vvE, ^^D# | ||
|- | |- | ||
| 77 | | 77 | ||
| 1853.2 | | 1853.2 | ||
| 1266.7 | | 1266.7 | ||
| | | | ||
| | | | ||
| vJ | | vJ | ||
| vE | | vE | ||
|- | |- | ||
| 78 | | 78 | ||
| 1902.0 | | 1902.0 | ||
| 1300 | | 1300 | ||
| [[3/1]] | | [[3/1]] | ||
| | |||
| J | | J | ||
| E | | E | ||
|} | |} | ||
Latest revision as of 17:21, 11 October 2024
Intervals
All intervals shown are within the 119-throdd limit and are consistently represented.
| Steps | Cents | Hekts | Corresponding 3.5.7.11.17 subgroup intervals |
Corresponding intervals of 13 and 19 |
Dubhe
(LLLLLLLLs, |
Mintaka[7] (E macro-Phrygian) |
|---|---|---|---|---|---|---|
| 0 | 0 | 0 | 1/1 | J | E | |
| 1 | 0 | 0 | ^J | ^E | ||
| 2 | 48.8 | 33.3 | 77/75 (+3.2c) | 65/63 (-5.3c) | vJ# | ^^E, vvF |
| 3 | 73.2 | 50 | 51/49 (+3.9c); 85/81 (-10.3c) | J# | vF | |
| 4 | 97.5 | 66.7 | 35/33 (-4.3c); 81/77 (+9.9c) | ^J# | F | |
| 5 | 97.5 | 66.7 | vKb | ^F | ||
| 6 | 146.3 | 100 | 49/45 (-1.1c) | 99/91 (+0.4c) | Kb | ^^F, vvGb, Dx |
| 7 | 146.3 | 100 | ^Kb | vGb | ||
| 8 | 195.1 | 133.3 | 55/49 (-4.9c) | 91/81 (-6.5c); 39/35 (+7.7c) | vK | Gb, vvE# |
| 9 | 219.5 | 150 | 135/119 (+1.1c); 17/15 (+2.8c) | K | ^Gb, vE# | |
| 10 | 243.8 | 166.7 | 63/55 (+8.7c) | 15/13 (-3.9c) | ^K | ^^Gb, E# |
| 11 | 243.8 | 166.7 | vK# | ^^^Gb, vvvF#, ^E# | ||
| 12 | 292.6 | 200 | 25/21 (-9.2c) | 77/65 (-0.7c); 13/11 (+3.4c) | K# | vvF#, ^^E# |
| 13 | 292.6 | 200 | ^K# | vF# | ||
| 14 | 341.4 | 233.3 | 11/9 (-6.0c) | 91/75 (+6.6c) | vLb | F# |
| 15 | 365.8 | 250 | 21/17 (-0.06c) | Lb | ^F# | |
| 16 | 390.1 | 266.7 | 49/39 (-5.0c); 81/65 (+9.2c) | ^Lb | vvG, ^^F# | |
| 17 | 390.1 | 266.7 | vL | vG | ||
| 18 | 438.9 | 300 | 9/7 (+3.8c); 35/27 (-10.3c) | L | G | |
| 19 | 438.9 | 300 | ^L | ^G | ||
| 20 | 487.7 | 333.3 | 33/25 (+7.0c) | 65/49 (-1.5c) | vL# | ^^G, vvAb |
| 21 | 512.1 | 350 | 85/63 (-6.5c) | L# | vAb | |
| 22 | 536.4 | 366.7 | 15/11 (-0.5c) | ^L# | Ab | |
| 23 | 536.4 | 366.7 | vMb | ^Ab | ||
| 24 | 585.2 | 400 | 7/5 (+2.7c) | Mb | ^^Ab, Fx | |
| 25 | 585.2 | 400 | ^Mb | ^^^Ab, vvvG#, vFx | ||
| 26 | 634.0 | 433.3 | 13/9 (-2.6c) | vM | vvG# | |
| 27 | 658.4 | 450 | 51/35 (+6.6c); 119/81 (-7.6c); 25/17 (-9.3c) | M | vG# | |
| 28 | 682.7 | 466.7 | 49/33 (-1.6c); 81/55 (+12.6c) | 135/91 (+0.07c) | ^M | G# |
| 29 | 682.7 | 466.7 | vM# | ^G# | ||
| 30 | 731.5 | 500 | 75/49 (-5.4c) | 117/77 (+7.2c) | M# | vvA, ^^G# |
| 31 | 731.5 | 500 | ^M# | vA | ||
| 32 | 780.3 | 533.3 | 11/7 (-2.2c) | 39/25 (+10.4c) | vNb | A |
| 33 | 804.7 | 550 | 27/17 (+3.8c); 119/75 (+5.5c) | Nb | ^A | |
| 34 | 829.0 | 566.7 | 21/13 (-1.2c) | ^Nb | ^^A, vvBb | |
| 35 | 829.0 | 566.7 | vN | vBb | ||
| 36 | 877.8 | 600 | 5/3 (-6.5c); 81/49 (+7.7c) | 91/55 (+6.1c) | N | Bb |
| 37 | 877.8 | 600 | ^N | ^Bb | ||
| 38 | 926.6 | 633.3 | 77/45 (-3.3c) | vN# | ^^Bb, vvCb, Gx | |
| 39 | 951.0 | 650 | 85/49 (-2.6c), 147/85 (+2.6c) | N# | ^^^Bb, vvvA#, ^Cb, vGx | |
| 40 | 975.3 | 666.7 | 135/77 (+3.3c) | ^N# | vvA#, Cb | |
| 41 | 975.3 | 666.7 | vOb | vA#, ^Cb | ||
| 42 | 1024.1 | 700 | 9/5 (+6.5c); 49/27 (-7.7c) | 165/91 (-6.1c) | Ob | A#, ^^Cb |
| 43 | 1024.1 | 700 | ^Ob | ^A# | ||
| 44 | 1072.9 | 733.3 | 13/7 (+1.2c) | vO | vvB, ^^A# | |
| 45 | 1097.3 | 750 | 17/9 (-3.8c); 225/119 (-5.5c) | O | vB | |
| 46 | 1121.6 | 766.7 | 21/11 (+2.2c) | 25/13 (-10.4c) | ^O | B |
| 47 | 1121.6 | 766.7 | vO# | ^B | ||
| 48 | 1170.4 | 800 | 49/25 (+5.4c) | 77/39 (-7.2c) | O# | ^^B, vvC |
| 49 | 1170.4 | 800 | ^O# | vC | ||
| 50 | 1219.2 | 833.3 | 99/49 (+1.6c); 55/27 (-12.6c) | 91/45 (+0.07c) | vPb | C |
| 51 | 1243.6 | 850 | 35/17 (-6.6c); 243/119 (+7.6c); 51/25 (+9.3c) | Pb | ^C | |
| 52 | 1267.9 | 866.7 | 27/13 (+2.6c) | ^Pb | ^^C, vvDb | |
| 53 | 1267.9 | 866.7 | vP | vDb | ||
| 54 | 1316.7 | 900 | 15/7 (-2.7c) | P | Db, vvB# | |
| 55 | 1316.7 | 900 | ^P | ^Db, vB# | ||
| 56 | 1365.5 | 933.3 | 11/5 (+0.5c) | vP# | ^^Db, B# | |
| 57 | 1389.9 | 950 | 189/85 (+6.5c) | P# | ^^^Db, vvvC#, ^B# | |
| 58 | 1414.2 | 966.7 | 25/11 (-7.0c) | 147/65 (+1.5c) | ^P# | vvC#, ^^B# |
| 59 | 1414.2 | 966.7 | vQb | vC# | ||
| 60 | 1463.0 | 1000 | 7/3 (-3.8c); 81/35 (+10.3c) | Qb | C# | |
| 61 | 1463.0 | 1000 | ^Qb | ^C# | ||
| 62 | 1511.8 | 1033.3 | 117/49 (+5.0c); 65/27 (-9.2c) | vQ | vvD, ^^C# | |
| 63 | 1536.2 | 1050 | 17/7 (+0.06c) | Q | vD | |
| 64 | 1560.5 | 1066.7 | 27/11 (+6.0c) | 225/91 (+6.6c) | ^Q | D |
| 65 | 1560.5 | 1066.7 | vQ# | ^D | ||
| 66 | 1609.3 | 1100 | 63/25 (+9.2c) | 195/77 (-0.7c); 33/13 (-3.4c) | Q# | ^^D, vvEb |
| 67 | 1609.3 | 1100 | ^Q# | vEb | ||
| 68 | 1658.1 | 1133.3 | 55/21 (-8.7c) | 13/5 (+3.9c) | vRb | Eb |
| 69 | 1682.5 | 1150 | 119/45 (-1.1c); 45/17 (-2.8c) | Rb | ^Eb | |
| 70 | 1706.9 | 1166.7 | 147/55 (+4.9c) | 243/91 (+6.5c); 35/13 (-7.7c) | ^Rb | ^^Eb, vvFb, Cx |
| 71 | 1706.9 | 1166.7 | vR | ^^^Eb, vvvD#, vFb, ^Cx | ||
| 72 | 1755.7 | 1200 | 135/49 (+1.1c) | 91/33 (+0.4c) | R | vvD#, Fb |
| 73 | 1755.7 | 1200 | ^R | vD#, ^Fb | ||
| 74 | 1804.5 | 1233.3 | 99/35 (+4.3c); 77/27 (-9.9c) | vR#, vJb | D#, ^^Fb | |
| 75 | 1828.8 | 1250 | 49/17 (-3.9c); 243/85 (+10.3c) | R#, Jb | ^D# | |
| 76 | 1853.2 | 1266.7 | 225/77 (-3.2c) | 189/65 (+5.3c) | ^R#, ^Jb | vvE, ^^D# |
| 77 | 1853.2 | 1266.7 | vJ | vE | ||
| 78 | 1902.0 | 1300 | 3/1 | J | E |