4L 3s: Difference between revisions
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4L 3s refers to the structure of moment of symmetry scales with generators ranging from 1\4edo (one degree of [[ | 4L 3s refers to the structure of moment of symmetry scales with generators ranging from 1\4edo (one degree of [[4edo]], 300¢) to 2\7edo (two degrees of [[7edo]], or approx. 342.857¢). The spectrum looks like this: | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
! colspan=" | ! colspan="8" | Generator | ||
! | Tetrachord | ! | Tetrachord | ||
! | g in cents | ! | g in cents | ||
| Line 12: | Line 12: | ||
|- | |- | ||
| | 1\4 | | | 1\4 | ||
| | | |||
| | | | | | ||
| | | | | | ||
| Line 32: | Line 33: | ||
| | | | | | ||
| | 8\31 | | | 8\31 | ||
| | | |||
| | 7 1 7 | | | 7 1 7 | ||
| | 309.677 | | | 309.677 | ||
| Line 37: | Line 39: | ||
| | 929.023 | | | 929.023 | ||
| | 38.71 | | | 38.71 | ||
| style="text-align:center;" | Myna is around here | | style="text-align:center;" | [[Myna]] is around here | ||
|- | |- | ||
| | | | | | ||
| Line 45: | Line 47: | ||
| | | | | | ||
| | 7\27 | | | 7\27 | ||
| | | |||
| | | | | | ||
| | 6 1 6 | | | 6 1 6 | ||
| Line 58: | Line 61: | ||
| | | | | | ||
| | 6\23 | | | 6\23 | ||
| | | |||
| | | | | | ||
| | | | | | ||
| Line 71: | Line 75: | ||
| | | | | | ||
| | 5\19 | | | 5\19 | ||
| | | |||
| | | | | | ||
| | | | | | ||
| Line 86: | Line 91: | ||
| | | | | | ||
| | 9\34 | | | 9\34 | ||
| | | |||
| | | | | | ||
| | | | | | ||
| Line 93: | Line 99: | ||
| | 951.941 | | | 951.941 | ||
| | 70.588 | | | 70.588 | ||
| style="text-align:center;" | Hanson/Keemun is around here | | style="text-align:center;" | [[Hanson]]/Keemun is around here | ||
|- | |- | ||
| | | |||
| | | | | | ||
| | | | | | ||
| Line 112: | Line 119: | ||
| | | | | | ||
| | 4\15 | | | 4\15 | ||
| | | |||
| | | | | | ||
| | | | | | ||
| Line 123: | Line 131: | ||
| style="text-align:center;" | L/s = 3 | | style="text-align:center;" | L/s = 3 | ||
|- | |- | ||
| | | |||
| | | | | | ||
| | | | | | ||
| Line 142: | Line 151: | ||
| | | | | | ||
| | 11\41 | | | 11\41 | ||
| | | |||
| | | | | | ||
| | | | | | ||
| Line 158: | Line 168: | ||
| | | | | | ||
| | 29\108 | | | 29\108 | ||
| | | |||
| | 21 8 21 | | | 21 8 21 | ||
| | 322.222 | | | 322.222 | ||
| Line 171: | Line 182: | ||
| | | | | | ||
| | 18\67 | | | 18\67 | ||
| | | |||
| | | | | | ||
| | 13 5 13 | | | 13 5 13 | ||
| Line 183: | Line 195: | ||
| | | | | | ||
| | 7\26 | | | 7\26 | ||
| | | |||
| | | | | | ||
| | | | | | ||
| Line 195: | Line 208: | ||
| | | | | | ||
| | 3\11 | | | 3\11 | ||
| | | |||
| | | | | | ||
| | | | | | ||
| Line 205: | Line 219: | ||
| | 981.818 | | | 981.818 | ||
| | 109.091 | | | 109.091 | ||
| style="text-align:center;" | Boundary of propriety (generators | | style="text-align:center;" | Boundary of propriety (generators <br>larger than this are proper) | ||
larger than this are proper) | |||
|- | |- | ||
| | | | | | ||
| Line 216: | Line 228: | ||
| | | | | | ||
| | | | | | ||
| | <span style="background-color: # | | | | ||
| | <span style="background-color: #f5f5f5;">√3 1 √3</span> | |||
| | 330.217 | | | 330.217 | ||
| | 660.434 | | | 660.434 | ||
| Line 227: | Line 240: | ||
| | | | | | ||
| | 8\29 | | | 8\29 | ||
| | | |||
| | | | | | ||
| | | | | | ||
| Line 243: | Line 257: | ||
| | | | | | ||
| | 21\76 | | | 21\76 | ||
| | | |||
| | | | | | ||
| | 13 8 13 | | | 13 8 13 | ||
| Line 251: | Line 266: | ||
| style="text-align:center;" | | | style="text-align:center;" | | ||
|- | |- | ||
| | | |||
| | | | | | ||
| | | | | | ||
| Line 270: | Line 286: | ||
| | | | | | ||
| | 13\47 | | | 13\47 | ||
| | | |||
| | | | | | ||
| | | | | | ||
| Line 279: | Line 296: | ||
| style="text-align:center;" | | | style="text-align:center;" | | ||
|- | |- | ||
| | | |||
| | | | | | ||
| | | | | | ||
| Line 296: | Line 314: | ||
| | | | | | ||
| | 5\18 | | | 5\18 | ||
| | | |||
| | | | | | ||
| | | | | | ||
| Line 311: | Line 330: | ||
| | | | | | ||
| | 7\25 | | | 7\25 | ||
| | | |||
| | | | | | ||
| | | | | | ||
| Line 326: | Line 346: | ||
| | | | | | ||
| | 9\32 | | | 9\32 | ||
| | | |||
| | | | | | ||
| | | | | | ||
| Line 341: | Line 362: | ||
| | | | | | ||
| | 11\39 | | | 11\39 | ||
| | | |||
| | | | | | ||
| | 6 5 6 | | | 6 5 6 | ||
| Line 356: | Line 378: | ||
| | | | | | ||
| | 13\46 | | | 13\46 | ||
| | | |||
| | 7 6 7 | | | 7 6 7 | ||
| | 339.130 | | | 339.130 | ||
| Line 362: | Line 385: | ||
| | 156.522 | | | 156.522 | ||
| style="text-align:center;" | (17/14)^3=9/5 | | style="text-align:center;" | (17/14)^3=9/5 | ||
|- | |||
| | | |||
| | | |||
| | | |||
| | | |||
| | | |||
| | | |||
| | | |||
| | 15\53 | |||
| | 8 7 8 | |||
| | 339.623 | |||
| | 679.245 | |||
| | 1018.868 | |||
| | 158.491 | |||
| style="text-align:center;" | [[Amity]] is around here | |||
|- | |- | ||
| | 2\7 | | | 2\7 | ||
| | | |||
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