Generator ranges of MOS: Difference between revisions
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| Line 10: | Line 10: | ||
! | Large-small numbers | ! | Large-small numbers | ||
! | Generator range | ! | Generator range | ||
! | Boundaries of propriety, maximum expressiveness, diatonicity | ! | Boundaries of propriety, maximum expressiveness, diatonicity | ||
! | Large step+Small step | ! | Large step+Small step | ||
| Line 16: | Line 15: | ||
| | 1L1s | | | 1L1s | ||
| | 1\2 < g < 1 | | | 1\2 < g < 1 | ||
| | g = 2\3, 3\4, 4\5 | | | g = 2\3, 3\4, 4\5 | ||
| | g+1-g = 1 | | | g+1-g = 1 | ||
| Line 22: | Line 20: | ||
| | 1L2s | | | 1L2s | ||
| | 2\3 < g < 1 | | | 2\3 < g < 1 | ||
| | g = 3\4, 4\5, 5\6 | | | g = 3\4, 4\5, 5\6 | ||
| | 2g-1+1-g = g | | | 2g-1+1-g = g | ||
| Line 28: | Line 25: | ||
| | 2L1s | | | 2L1s | ||
| | 1\3 < g < 1\2 | | | 1\3 < g < 1\2 | ||
| | g = 2\5, 3\7, 4\9 | | | g = 2\5, 3\7, 4\9 | ||
| | g+1-2g = 1-g | | | g+1-2g = 1-g | ||
| Line 34: | Line 30: | ||
| | 1L3s | | | 1L3s | ||
| | 3\4 < g < 1 | | | 3\4 < g < 1 | ||
| | g = 4\5, 5\6, 6\7 | | | g = 4\5, 5\6, 6\7 | ||
| | 3g-2+1-g = 2g-1 | | | 3g-2+1-g = 2g-1 | ||
| Line 40: | Line 35: | ||
| | 2L2s | | | 2L2s | ||
| | 1\4 < g < 1\2 | | | 1\4 < g < 1\2 | ||
| | g = 2\6, 3\8, 4\10 | | | g = 2\6, 3\8, 4\10 | ||
| | g+1\2-g = 1\2 | | | g+1\2-g = 1\2 | ||
| Line 46: | Line 40: | ||
| | 3L1s | | | 3L1s | ||
| | 1\4 < g < 1\3 | | | 1\4 < g < 1\3 | ||
| | g = 2\7, 3\10, 4\13 | | | g = 2\7, 3\10, 4\13 | ||
| | g+1-3g = 1-2g | | | g+1-3g = 1-2g | ||
| Line 57: | Line 50: | ||
! | Large-small numbers | ! | Large-small numbers | ||
! | Generator range | ! | Generator range | ||
! | Boundaries of propriety, maximum expressiveness, diatonicity | ! | Boundaries of propriety, maximum expressiveness, diatonicity | ||
! | Large step+Small step | ! | Large step+Small step | ||
| Line 63: | Line 55: | ||
| | 1L4s | | | 1L4s | ||
| | 4\5 < g < 1 | | | 4\5 < g < 1 | ||
| | g = ''5\6'', 6\7, 7\8 | | | g = ''5\6'', 6\7, 7\8 | ||
| | 4g-3+1-g = 3g-2 | | | 4g-3+1-g = 3g-2 | ||
| Line 69: | Line 60: | ||
| | 2L3s | | | 2L3s | ||
| | 2\5 < g < 1\2 | | | 2\5 < g < 1\2 | ||
| | g = 3\7, 4\9, 5\11 | | | g = 3\7, 4\9, 5\11 | ||
| | 3g-1+1-2g = g | | | 3g-1+1-2g = g | ||
| Line 75: | Line 65: | ||
| | 3L2s | | | 3L2s | ||
| | 3\5 < g < 2\3 | | | 3\5 < g < 2\3 | ||
| | g = 5\8, 7\11, 9\14 | | | g = 5\8, 7\11, 9\14 | ||
| | 2g-1+2-3g = 1-g | | | 2g-1+2-3g = 1-g | ||
| Line 81: | Line 70: | ||
| | 4L1s | | | 4L1s | ||
| | 1\5 < g < 1\4 | | | 1\5 < g < 1\4 | ||
| | g = 2\9, 3\13, 4\17 | | | g = 2\9, 3\13, 4\17 | ||
| | g+1-4g = 1-3g | | | g+1-4g = 1-3g | ||
| Line 92: | Line 80: | ||
! | Large-small numbers | ! | Large-small numbers | ||
! | Generator range | ! | Generator range | ||
! | Boundaries of propriety, maximum expressiveness, diatonicity | ! | Boundaries of propriety, maximum expressiveness, diatonicity | ||
! | Large step+Small step | ! | Large step+Small step | ||
| Line 98: | Line 85: | ||
| | 1L5s | | | 1L5s | ||
| | 5\6 < g < 1 | | | 5\6 < g < 1 | ||
| | g = ''6\7'', 7\8, 8\9 | | | g = ''6\7'', 7\8, 8\9 | ||
| | 5g-4+1-g = 4g-3 | | | 5g-4+1-g = 4g-3 | ||
| Line 104: | Line 90: | ||
| | 2L4s | | | 2L4s | ||
| | 2\6 < g < 1\2 | | | 2\6 < g < 1\2 | ||
| | g = 3\8, 4\10, 5\12 | | | g = 3\8, 4\10, 5\12 | ||
| | 2g-1\2+1\2-g = g | | | 2g-1\2+1\2-g = g | ||
| Line 110: | Line 95: | ||
| | 3L3s | | | 3L3s | ||
| | 1\6 < g < 1\3 | | | 1\6 < g < 1\3 | ||
| | g = 2\9, 3\12, 4\15 | | | g = 2\9, 3\12, 4\15 | ||
| | g+1\3-g = 1\3 | | | g+1\3-g = 1\3 | ||
| Line 116: | Line 100: | ||
| | 4L2s | | | 4L2s | ||
| | 1\6 < g < 1\4 | | | 1\6 < g < 1\4 | ||
| | g = 2\10, 3\14, 4\18 | | | g = 2\10, 3\14, 4\18 | ||
| | g+1\2-2g = 1\2-g | | | g+1\2-2g = 1\2-g | ||
| Line 122: | Line 105: | ||
| | 5L1s | | | 5L1s | ||
| | 1\6 < g < 1\5 | | | 1\6 < g < 1\5 | ||
| | g = 2\11, 3\16, 4\21 | | | g = 2\11, 3\16, 4\21 | ||
| | g+1-5g = 1-4g | | | g+1-5g = 1-4g | ||
| Line 133: | Line 115: | ||
! | Large-small numbers | ! | Large-small numbers | ||
! | Generator range | ! | Generator range | ||
! | Boundaries of propriety, maximum expressiveness, diatonicity | ! | Boundaries of propriety, maximum expressiveness, diatonicity | ||
! | Large step+Small step | ! | Large step+Small step | ||
| Line 139: | Line 120: | ||
| | 1L6s | | | 1L6s | ||
| | 6\7 < g < 1 | | | 6\7 < g < 1 | ||
| | g = ''7\8'', 8\9, 9\10 | | | g = ''7\8'', 8\9, 9\10 | ||
| | 6g-5+1-g = 5g-4 | | | 6g-5+1-g = 5g-4 | ||
| Line 145: | Line 125: | ||
| | 2L5s | | | 2L5s | ||
| | 3\7 < g < 1\2 | | | 3\7 < g < 1\2 | ||
| | g = 4\9, 5\11, 6\13 | | | g = 4\9, 5\11, 6\13 | ||
| | 5g-2+1-2g = 3g-1 | | | 5g-2+1-2g = 3g-1 | ||
| Line 151: | Line 130: | ||
| | 3L4s | | | 3L4s | ||
| | 2\7 < g < 1\3 | | | 2\7 < g < 1\3 | ||
| | g = 3\10, 4\13, 5\16 | | | g = 3\10, 4\13, 5\16 | ||
| | 4g-1+1-3g = g | | | 4g-1+1-3g = g | ||
| Line 157: | Line 135: | ||
| | 4L3s | | | 4L3s | ||
| | 5\7 < g < 3\4 | | | 5\7 < g < 3\4 | ||
| | g = 8\11, 11\15, 14\19 | | | g = 8\11, 11\15, 14\19 | ||
| | 3g-2+3-4g = 1-g | | | 3g-2+3-4g = 1-g | ||
| Line 163: | Line 140: | ||
| | 5L2s | | | 5L2s | ||
| | 4\7 < g < 3\5 | | | 4\7 < g < 3\5 | ||
| | g = 7\12, 10\17, 13\22 | | | g = 7\12, 10\17, 13\22 | ||
| | 2g-1+3-5g = 2-3g | | | 2g-1+3-5g = 2-3g | ||
| Line 169: | Line 145: | ||
| | 6L1s | | | 6L1s | ||
| | 1\7 < g < 1\6 | | | 1\7 < g < 1\6 | ||
| | g = 2\13, 3\19, 4\25 | | | g = 2\13, 3\19, 4\25 | ||
| | g+1-6g = 1-5g | | | g+1-6g = 1-5g | ||
| Line 180: | Line 155: | ||
! | Large-small numbers | ! | Large-small numbers | ||
! | Generator range | ! | Generator range | ||
! | Boundaries of propriety, maximum expressiveness, diatonicity | ! | Boundaries of propriety, maximum expressiveness, diatonicity | ||
! | Large step+Small step | ! | Large step+Small step | ||
| Line 186: | Line 160: | ||
| | 1L7s | | | 1L7s | ||
| | 7\8 < g < 1 | | | 7\8 < g < 1 | ||
| | g = ''8\9, 9\10'', 10\11 | | | g = ''8\9, 9\10'', 10\11 | ||
| | 7g-6+1-g = 6g-5 | | | 7g-6+1-g = 6g-5 | ||
| Line 192: | Line 165: | ||
| | 2L6s | | | 2L6s | ||
| | 3\8 < g < 1\2 | | | 3\8 < g < 1\2 | ||
| | g = ''4\10'', 5\12, 6\14 | | | g = ''4\10'', 5\12, 6\14 | ||
| | 3g-1+1\2-g = 2g-1\2 | | | 3g-1+1\2-g = 2g-1\2 | ||
| Line 198: | Line 170: | ||
| | 3L5s | | | 3L5s | ||
| | 5\8 < g < 2\3 | | | 5\8 < g < 2\3 | ||
| | g = 7\11, 9\14, 11\17 | | | g = 7\11, 9\14, 11\17 | ||
| | 5g-3+2-3g = 2g-1 | | | 5g-3+2-3g = 2g-1 | ||
| Line 204: | Line 175: | ||
| | 4L4s | | | 4L4s | ||
| | 1\8 < g < 1\4 | | | 1\8 < g < 1\4 | ||
| | g = 2\12, 3\16, 4\20 | | | g = 2\12, 3\16, 4\20 | ||
| | g+1\4-g = 1\4 | | | g+1\4-g = 1\4 | ||
| Line 210: | Line 180: | ||
| | 5L3s | | | 5L3s | ||
| | 3\8 < g < 2\5 | | | 3\8 < g < 2\5 | ||
| | g = 5\13, 7\18, 9\23 | | | g = 5\13, 7\18, 9\23 | ||
| | 3g-1+2-5g = 1-2g | | | 3g-1+2-5g = 1-2g | ||
| Line 216: | Line 185: | ||
| | 6L2s | | | 6L2s | ||
| | 1\8 < g < 1\6 | | | 1\8 < g < 1\6 | ||
| | g = 2\14, 3\20, 4\26 | | | g = 2\14, 3\20, 4\26 | ||
| | g+1\2-3g = 1\2-2g | | | g+1\2-3g = 1\2-2g | ||
| Line 222: | Line 190: | ||
| | 7L1s | | | 7L1s | ||
| | 1\8 < g < 1\7 | | | 1\8 < g < 1\7 | ||
| | g = 2\15, 3\22, 4\29 | | | g = 2\15, 3\22, 4\29 | ||
| | g+1-7g = 1-6g | | | g+1-7g = 1-6g | ||
| Line 232: | Line 199: | ||
! | Large-small numbers | ! | Large-small numbers | ||
! | Generator range | ! | Generator range | ||
! | Boundaries of propriety, maximum expressiveness, diatonicity | ! | Boundaries of propriety, maximum expressiveness, diatonicity | ||
! | Large step+Small step | ! | Large step+Small step | ||
| Line 238: | Line 204: | ||
| | 1L8s | | | 1L8s | ||
| | 8\9 < g < 1 | | | 8\9 < g < 1 | ||
| | g = ''9\10'', ''10\11'', 11\12 | | | g = ''9\10'', ''10\11'', 11\12 | ||
| | 8g-7+1-g = 7g-6 | | | 8g-7+1-g = 7g-6 | ||
| Line 244: | Line 209: | ||
| | 2L7s | | | 2L7s | ||
| | 4\9 < g < 1\2 | | | 4\9 < g < 1\2 | ||
| | g = ''5\11'', 6\13, 7\15 | | | g = ''5\11'', 6\13, 7\15 | ||
| | 7g-3+1-2g = 5g-2 | | | 7g-3+1-2g = 5g-2 | ||
| Line 250: | Line 214: | ||
| | 3L6s | | | 3L6s | ||
| | 2\9 < g < 1\3 | | | 2\9 < g < 1\3 | ||
| | g = 3\12, 4\15, 5\18 | | | g = 3\12, 4\15, 5\18 | ||
| | 2g-1\3+1\3-g = g | | | 2g-1\3+1\3-g = g | ||
| Line 256: | Line 219: | ||
| | 4L5s | | | 4L5s | ||
| | 2\9 < g < 1\4 | | | 2\9 < g < 1\4 | ||
| | g = 3\13, 4\17, 5\21 | | | g = 3\13, 4\17, 5\21 | ||
| | 5g-1+1-4g = g | | | 5g-1+1-4g = g | ||
| Line 262: | Line 224: | ||
| | 5L4s | | | 5L4s | ||
| | 7\9 < g < 4\5 | | | 7\9 < g < 4\5 | ||
| | g = 11\14, 15\19, 18\23 | | | g = 11\14, 15\19, 18\23 | ||
| | 4g-3+4-5g = 1-g | | | 4g-3+4-5g = 1-g | ||
| Line 268: | Line 229: | ||
| | 6L3s | | | 6L3s | ||
| | 1\9 < g < 1\6 | | | 1\9 < g < 1\6 | ||
| | g = 2\15, 3\21, 4\27 | | | g = 2\15, 3\21, 4\27 | ||
| | g+1\3-2g = 1\3-g | | | g+1\3-2g = 1\3-g | ||
| Line 274: | Line 234: | ||
| | 7L2s | | | 7L2s | ||
| | 5\9 < g < 4\7 | | | 5\9 < g < 4\7 | ||
| | g = 9\16, 10\23, 17\30 | | | g = 9\16, 10\23, 17\30 | ||
| | 2g-1+4-7g = 3-7g | | | 2g-1+4-7g = 3-7g | ||
| Line 280: | Line 239: | ||
| | 8L1s | | | 8L1s | ||
| | 1\9 < g < 1\8 | | | 1\9 < g < 1\8 | ||
| | g = 2\17, 3\25, 4\33 | | | g = 2\17, 3\25, 4\33 | ||
| | g+1-8g = 1-7g | | | g+1-8g = 1-7g | ||
| Line 291: | Line 249: | ||
! | Large-small numbers | ! | Large-small numbers | ||
! | Generator range | ! | Generator range | ||
! | Boundaries of propriety, maximum expressiveness, diatonicity | ! | Boundaries of propriety, maximum expressiveness, diatonicity | ||
! | Large step+Small step | ! | Large step+Small step | ||
| Line 297: | Line 254: | ||
| | 1L9s | | | 1L9s | ||
| | 9\10 < g < 1 | | | 9\10 < g < 1 | ||
| | g = ''10\11'', ''11\12'', 12\13 | | | g = ''10\11'', ''11\12'', 12\13 | ||
| | 9g-8+1-g = 8g-7 | | | 9g-8+1-g = 8g-7 | ||
| Line 303: | Line 259: | ||
| | 2L8s | | | 2L8s | ||
| | 4\10 < g < 1\2 | | | 4\10 < g < 1\2 | ||
| | g = ''5\12'', 6\14, 7\16 | | | g = ''5\12'', 6\14, 7\16 | ||
| | 4g-3\2+1\2-g = 3g-1 | | | 4g-3\2+1\2-g = 3g-1 | ||
| Line 309: | Line 264: | ||
| | 3L7s | | | 3L7s | ||
| | 3\10 < g < 1\3 | | | 3\10 < g < 1\3 | ||
| | g = 4\13, 5\16, 6\19 | | | g = 4\13, 5\16, 6\19 | ||
| | 7g-2+1-3g = 4g-1 | | | 7g-2+1-3g = 4g-1 | ||
| Line 315: | Line 269: | ||
| | 4L6s | | | 4L6s | ||
| | 2\10 < g < 1\4 | | | 2\10 < g < 1\4 | ||
| | g = 3\14, 4\18, 5\22 | | | g = 3\14, 4\18, 5\22 | ||
| | 3g-1\2+1\2-2g = g | | | 3g-1\2+1\2-2g = g | ||
| Line 321: | Line 274: | ||
| | 5L5s | | | 5L5s | ||
| | 1\10 < g < 1\5 | | | 1\10 < g < 1\5 | ||
| | g = 2\15, 3\20, 4\25 | | | g = 2\15, 3\20, 4\25 | ||
| | g+1\5-g = 1\5 | | | g+1\5-g = 1\5 | ||
| Line 327: | Line 279: | ||
| | 6L4s | | | 6L4s | ||
| | 3\10 < g < 2\6 | | | 3\10 < g < 2\6 | ||
| | g = 5\16, 7\22, 9\28 | | | g = 5\16, 7\22, 9\28 | ||
| | 2g-1\2+1-3g = 1\2-g | | | 2g-1\2+1-3g = 1\2-g | ||
| Line 333: | Line 284: | ||
| | 7L3s | | | 7L3s | ||
| | 7\10 < g < 5\7 | | | 7\10 < g < 5\7 | ||
| | g = 12\17, 17\24, 22\31 | | | g = 12\17, 17\24, 22\31 | ||
| | 3g-2+5-7g = 3-4g | | | 3g-2+5-7g = 3-4g | ||
| Line 339: | Line 289: | ||
| | 8L2s | | | 8L2s | ||
| | 1\10 < g < 1\8 | | | 1\10 < g < 1\8 | ||
| | g = 2\18, 3\26, 4\34 | | | g = 2\18, 3\26, 4\34 | ||
| | g+1\2-4g = 1\2-3g | | | g+1\2-4g = 1\2-3g | ||
| Line 345: | Line 294: | ||
| | 9L1s | | | 9L1s | ||
| | 1\10 < g < 1\9 | | | 1\10 < g < 1\9 | ||
| | g = 2\19, 3\28, 4\37 | | | g = 2\19, 3\28, 4\37 | ||
| | g+1-9g = 1-8g | | | g+1-9g = 1-8g | ||
| Line 356: | Line 304: | ||
! | Large-small numbers | ! | Large-small numbers | ||
! | Generator range | ! | Generator range | ||
! | Boundaries of propriety, maximum expressiveness, diatonicity | ! | Boundaries of propriety, maximum expressiveness, diatonicity | ||
! | Large step+Small step | ! | Large step+Small step | ||
| Line 362: | Line 309: | ||
| | 1L10s | | | 1L10s | ||
| | 10\11 < g < 1 | | | 10\11 < g < 1 | ||
| | g = ''11\12'', ''12\13'', 13\14 | | | g = ''11\12'', ''12\13'', 13\14 | ||
| | 10g-9+1-g = 9g-8 | | | 10g-9+1-g = 9g-8 | ||
| Line 368: | Line 314: | ||
| | 2L9s | | | 2L9s | ||
| | 5\11 < g < 1\2 | | | 5\11 < g < 1\2 | ||
| | g = ''6\13'', 7\15, 8\17 | | | g = ''6\13'', 7\15, 8\17 | ||
| | 9g-4+1-2g = 7g-3 | | | 9g-4+1-2g = 7g-3 | ||
| Line 374: | Line 319: | ||
| | 3L8s | | | 3L8s | ||
| | 7\11 < g < 2\3 | | | 7\11 < g < 2\3 | ||
| | g = 9\14, 11\17, 13\20 | | | g = 9\14, 11\17, 13\20 | ||
| | 8g-5+2-3g = 5g-3 | | | 8g-5+2-3g = 5g-3 | ||
| Line 380: | Line 324: | ||
| | 4L7s | | | 4L7s | ||
| | 8\11 < g < 3\4 | | | 8\11 < g < 3\4 | ||
| | g = 11\15, 14\19, 17\23 | | | g = 11\15, 14\19, 17\23 | ||
| | 7g-5+3-4g = 3g-2 | | | 7g-5+3-4g = 3g-2 | ||
| Line 386: | Line 329: | ||
| | 5L6s | | | 5L6s | ||
| | 2\11 < g < 1\5 | | | 2\11 < g < 1\5 | ||
| | g = 3\16, 4\21, 5\26 | | | g = 3\16, 4\21, 5\26 | ||
| | 6g-1+1-5g = g | | | 6g-1+1-5g = g | ||
| Line 392: | Line 334: | ||
| | 6L5s | | | 6L5s | ||
| | 9\11 < g < 5\6 | | | 9\11 < g < 5\6 | ||
| | g = 14\17, 19\23, 24\29 | | | g = 14\17, 19\23, 24\29 | ||
| | 5g-4+5-6g = 1-g | | | 5g-4+5-6g = 1-g | ||
| Line 398: | Line 339: | ||
| | 7L4s | | | 7L4s | ||
| | 3\11 < g < 2\7 | | | 3\11 < g < 2\7 | ||
| | g = 5\18, 7\25, 9\32 | | | g = 5\18, 7\25, 9\32 | ||
| | 4g-1+2-7g = 1-3g | | | 4g-1+2-7g = 1-3g | ||
| Line 404: | Line 344: | ||
| | 8L3s | | | 8L3s | ||
| | 4\11 < g < 3\8 | | | 4\11 < g < 3\8 | ||
| | g = 7\19, 10\27, 13\35 | | | g = 7\19, 10\27, 13\35 | ||
| | 3g-1+3-8g = 2-5g | | | 3g-1+3-8g = 2-5g | ||
| Line 410: | Line 349: | ||
| | 9L2s | | | 9L2s | ||
| | 6\11 < g < 5\9 | | | 6\11 < g < 5\9 | ||
| | g = 11\20, 16\29, 21\38 | | | g = 11\20, 16\29, 21\38 | ||
| | 2g-1+5-9g = 4-7g | | | 2g-1+5-9g = 4-7g | ||
| Line 416: | Line 354: | ||
| | 10L1s | | | 10L1s | ||
| | 1\11 < g < 1\10 | | | 1\11 < g < 1\10 | ||
| | g = 2\21, 3\31, 4\41 | | | g = 2\21, 3\31, 4\41 | ||
| | g+1-10g = 1-9g | | | g+1-10g = 1-9g | ||
| Line 427: | Line 364: | ||
! | Large-small numbers | ! | Large-small numbers | ||
! | Generator range | ! | Generator range | ||
! | Boundaries of propriety, maximum expressiveness, diatonicity | ! | Boundaries of propriety, maximum expressiveness, diatonicity | ||
! | Large step+Small step | ! | Large step+Small step | ||
| Line 433: | Line 369: | ||
| | 1L11s | | | 1L11s | ||
| | 11\12 < g < 1 | | | 11\12 < g < 1 | ||
| | g = ''12\13,'' ''13\14, 14\15'' | | | g = ''12\13,'' ''13\14, 14\15'' | ||
| | 11g-10+1-g = 10g-9 | | | 11g-10+1-g = 10g-9 | ||
| Line 439: | Line 374: | ||
| | 2L10s | | | 2L10s | ||
| | 5\12 < g < 1\2 | | | 5\12 < g < 1\2 | ||
| | g = ''6\14'', 7\16, 8\18 | | | g = ''6\14'', 7\16, 8\18 | ||
| | 5g-2+1\2-g = 4g-3\2 | | | 5g-2+1\2-g = 4g-3\2 | ||
| Line 445: | Line 379: | ||
| | 3L9s | | | 3L9s | ||
| | 3\12 < g < 1\3 | | | 3\12 < g < 1\3 | ||
| | g = ''4\15'', 5\18, 6\21 | | | g = ''4\15'', 5\18, 6\21 | ||
| | 3g-2\3+1\3-g = 2g-1\3 | | | 3g-2\3+1\3-g = 2g-1\3 | ||
| Line 451: | Line 384: | ||
| | 4L8s | | | 4L8s | ||
| | 2\12 < g < 1\4 | | | 2\12 < g < 1\4 | ||
| | g = 3\16, 4\20, 5\24 | | | g = 3\16, 4\20, 5\24 | ||
| | 2g-1\4+1\4-g = g | | | 2g-1\4+1\4-g = g | ||
| Line 457: | Line 389: | ||
| | 5L7s | | | 5L7s | ||
| | 7\12 < g < 3\5 | | | 7\12 < g < 3\5 | ||
| | g = 10\17, 13\22, 16\27 | | | g = 10\17, 13\22, 16\27 | ||
| | 7g-4+3-5g = 2g-1 | | | 7g-4+3-5g = 2g-1 | ||
| Line 463: | Line 394: | ||
| | 6L6s | | | 6L6s | ||
| | 1\12 < g < 1\6 | | | 1\12 < g < 1\6 | ||
| | g = 2\18, 3\24, 4\30 | | | g = 2\18, 3\24, 4\30 | ||
| | g+1\6-g = g | | | g+1\6-g = g | ||
| Line 469: | Line 399: | ||
| | 7L5s | | | 7L5s | ||
| | 5\12 < g < 3\7 | | | 5\12 < g < 3\7 | ||
| | g = 8\19, 11\26, 14\33 | | | g = 8\19, 11\26, 14\33 | ||
| | 5g-2+3-7g = 1-2g | | | 5g-2+3-7g = 1-2g | ||
| Line 475: | Line 404: | ||
| | 8L4s | | | 8L4s | ||
| | 1\12 < g < 1\8 | | | 1\12 < g < 1\8 | ||
| | g = 2\20, 3\28, 4\36 | | | g = 2\20, 3\28, 4\36 | ||
| | g+1\4-2g = 1\4-g | | | g+1\4-2g = 1\4-g | ||
| Line 481: | Line 409: | ||
| | 9L3s | | | 9L3s | ||
| | 1\12 < g < 1\9 | | | 1\12 < g < 1\9 | ||
| | g = 2\21, 3\30, 4\39 | | | g = 2\21, 3\30, 4\39 | ||
| | g+1\3-3g = 1\3-2g | | | g+1\3-3g = 1\3-2g | ||
| Line 487: | Line 414: | ||
| | 10L2s | | | 10L2s | ||
| | 1\12 < g < 1\10 | | | 1\12 < g < 1\10 | ||
| | g = 2\22, 3\32, 4\42 | | | g = 2\22, 3\32, 4\42 | ||
| | g+1\2-5g = 1\2-4g | | | g+1\2-5g = 1\2-4g | ||
| Line 493: | Line 419: | ||
| | 11L1s | | | 11L1s | ||
| | 1\12 < g < 1\11 | | | 1\12 < g < 1\11 | ||
| | g = 2\23, 3\34, 4\45 | | | g = 2\23, 3\34, 4\45 | ||
| | g+1-11g = 1-10g | | | g+1-11g = 1-10g | ||
| Line 504: | Line 429: | ||
! | Large-small numbers | ! | Large-small numbers | ||
! | Generator range | ! | Generator range | ||
! | Boundaries of propriety, maximum expressiveness, diatonicity | ! | Boundaries of propriety, maximum expressiveness, diatonicity | ||
! | Large step+Small step | ! | Large step+Small step | ||
| Line 510: | Line 434: | ||
| | 1L12s | | | 1L12s | ||
| | 12\13 < g < 1 | | | 12\13 < g < 1 | ||
| | ''g = 13\14, 14\15, 15\16'' | | | ''g = 13\14, 14\15, 15\16'' | ||
| | 12g-11+1-g = 11g-10 | | | 12g-11+1-g = 11g-10 | ||
| Line 516: | Line 439: | ||
| | 2L11s | | | 2L11s | ||
| | 6\13 < g < 1\2 | | | 6\13 < g < 1\2 | ||
| | g = ''7\15'', 8\17, 9\19 | | | g = ''7\15'', 8\17, 9\19 | ||
| | 11g-5-1-2g = 10g-6 | | | 11g-5-1-2g = 10g-6 | ||
| Line 522: | Line 444: | ||
| | 3L10s | | | 3L10s | ||
| | 4\13 < g < 1\3 | | | 4\13 < g < 1\3 | ||
| | g = ''5\16'', 6\19, 7/22 | | | g = ''5\16'', 6\19, 7/22 | ||
| | 10g-3+1-3g = 7g-2 | | | 10g-3+1-3g = 7g-2 | ||
| Line 528: | Line 449: | ||
| | 4L9s | | | 4L9s | ||
| | 3\13 < g < 1\4 | | | 3\13 < g < 1\4 | ||
| | g = 4\17, 5\21, 6\25 | | | g = 4\17, 5\21, 6\25 | ||
| | 9g-2+1-4g = 5g-1 | | | 9g-2+1-4g = 5g-1 | ||
| Line 534: | Line 454: | ||
| | 5L8s | | | 5L8s | ||
| | 5\13 < g < 2\5 | | | 5\13 < g < 2\5 | ||
| | g = 7\18, 9\23, 11\28 | | | g = 7\18, 9\23, 11\28 | ||
| | 8g-3+2-5g = 3g-1 | | | 8g-3+2-5g = 3g-1 | ||
| Line 540: | Line 459: | ||
| | 6L7s | | | 6L7s | ||
| | 2\13 < g < 1\6 | | | 2\13 < g < 1\6 | ||
| | g = 3\19, 4\25, 5\31 | | | g = 3\19, 4\25, 5\31 | ||
| | 7g-1+1-6g = g | | | 7g-1+1-6g = g | ||
| Line 546: | Line 464: | ||
| | 7L6s | | | 7L6s | ||
| | 11\13 < g < 6\7 | | | 11\13 < g < 6\7 | ||
| | g = 17\20, 23\27, 29\34 | | | g = 17\20, 23\27, 29\34 | ||
| | 6g-5+6-7g = 1-g | | | 6g-5+6-7g = 1-g | ||
| Line 552: | Line 469: | ||
| | 8L5s | | | 8L5s | ||
| | 8\13 < g < 5\8 | | | 8\13 < g < 5\8 | ||
| | g = 13\21, 18\29, 23\37 | | | g = 13\21, 18\29, 23\37 | ||
| | 5g-3+5-8g = 2-3g | | | 5g-3+5-8g = 2-3g | ||
| Line 558: | Line 474: | ||
| | 9L4s | | | 9L4s | ||
| | 10\13 < g < 7\9 | | | 10\13 < g < 7\9 | ||
| | g = 17\22, 24\31, 31\40 | | | g = 17\22, 24\31, 31\40 | ||
| | 4g-3+7-9g = 4-5g | | | 4g-3+7-9g = 4-5g | ||
| Line 564: | Line 479: | ||
| | 10L3s | | | 10L3s | ||
| | 9\13 < g < 7\10 | | | 9\13 < g < 7\10 | ||
| | g = 16\23, 23\33, 30\43 | | | g = 16\23, 23\33, 30\43 | ||
| | 3g-2+7-10g = 5-7g | | | 3g-2+7-10g = 5-7g | ||
| Line 570: | Line 484: | ||
| | 11L2s | | | 11L2s | ||
| | 7\13 < g < 6\11 | | | 7\13 < g < 6\11 | ||
| | g = 13\24, 19\35, 25\46 | | | g = 13\24, 19\35, 25\46 | ||
| | 2g-1+6-11g = 5-9g | | | 2g-1+6-11g = 5-9g | ||
| Line 576: | Line 489: | ||
| | 12L1s | | | 12L1s | ||
| | 1\13 < g < 1\12 | | | 1\13 < g < 1\12 | ||
| | g = 2\25, 3\37, 4\49 | | | g = 2\25, 3\37, 4\49 | ||
| | g+1-12g = 1-11g | | | g+1-12g = 1-11g | ||
| Line 587: | Line 499: | ||
! | Large-small numbers | ! | Large-small numbers | ||
! | Generator range | ! | Generator range | ||
! | Boundaries of propriety, maximum expressiveness, diatonicity | ! | Boundaries of propriety, maximum expressiveness, diatonicity | ||
! | Large step+Small step | ! | Large step+Small step | ||
| Line 593: | Line 504: | ||
| | 1L13s | | | 1L13s | ||
| | 13\14 < g < 1 | | | 13\14 < g < 1 | ||
| | ''g = 14\15, 15\16, 16\17'' | | | ''g = 14\15, 15\16, 16\17'' | ||
| | 13g-12+1-g = 12g-11 | | | 13g-12+1-g = 12g-11 | ||
| Line 599: | Line 509: | ||
| | 2L12s | | | 2L12s | ||
| | 6\14 < g < 1\2 | | | 6\14 < g < 1\2 | ||
| | g = ''7\16'', 8\18, 9\20 | | | g = ''7\16'', 8\18, 9\20 | ||
| | 6g-5\2+1\2-g = 5g-2 | | | 6g-5\2+1\2-g = 5g-2 | ||
| Line 605: | Line 514: | ||
| | 3L11s | | | 3L11s | ||
| | 9\14 < g < 2\3 | | | 9\14 < g < 2\3 | ||
| | g = ''11\17'', 13\20, 15\23 | | | g = ''11\17'', 13\20, 15\23 | ||
| | 11g-7+2-3g = 9g-5 | | | 11g-7+2-3g = 9g-5 | ||
| Line 611: | Line 519: | ||
| | 4L10s | | | 4L10s | ||
| | 3\14 < g < 1\4 | | | 3\14 < g < 1\4 | ||
| | g = 4\18, 5\22, 6\26 | | | g = 4\18, 5\22, 6\26 | ||
| | 5g-1+1\2-2g = 3g-1\2 | | | 5g-1+1\2-2g = 3g-1\2 | ||
| Line 617: | Line 524: | ||
| | 5L9s | | | 5L9s | ||
| | 11\14 < g < 4\5 | | | 11\14 < g < 4\5 | ||
| | g = 15\19, 19\24, 23\29 | | | g = 15\19, 19\24, 23\29 | ||
| | 9g-7+4-5g = 4g-3 | | | 9g-7+4-5g = 4g-3 | ||
| Line 623: | Line 529: | ||
| | 6L8s | | | 6L8s | ||
| | 2\14 < g < 1\6 | | | 2\14 < g < 1\6 | ||
| | g = 3\20, 4\26, 5\32 | | | g = 3\20, 4\26, 5\32 | ||
| | 4g-1\2-1\2-3g = g | | | 4g-1\2-1\2-3g = g | ||
| Line 629: | Line 534: | ||
| | 7L7s | | | 7L7s | ||
| | 1\14 < g < 1\7 | | | 1\14 < g < 1\7 | ||
| | g = 2\21, 3\28, 4\35 | | | g = 2\21, 3\28, 4\35 | ||
| | g+1\7-g = 1\7 | | | g+1\7-g = 1\7 | ||
| Line 635: | Line 539: | ||
| | 8L6s | | | 8L6s | ||
| | 5\14 < g < 3\8 | | | 5\14 < g < 3\8 | ||
| | g = 8\22, 11\30, 14\38 | | | g = 8\22, 11\30, 14\38 | ||
| | 3g-1+3\2-4g = 1\2-g | | | 3g-1+3\2-4g = 1\2-g | ||
| Line 641: | Line 544: | ||
| | 9L5s | | | 9L5s | ||
| | 3\14 < g < 2\9 | | | 3\14 < g < 2\9 | ||
| | g = 5\23, 7\32, 9\41 | | | g = 5\23, 7\32, 9\41 | ||
| | 5g-1+2-9g = 1-4g | | | 5g-1+2-9g = 1-4g | ||
| Line 647: | Line 549: | ||
| | 10L4s | | | 10L4s | ||
| | 4\14 < g < 3\10 | | | 4\14 < g < 3\10 | ||
| | g = 7\24, 10\34, 13\44 | | | g = 7\24, 10\34, 13\44 | ||
| | 2g-1\2+3\2-5g = 1-3g | | | 2g-1\2+3\2-5g = 1-3g | ||
| Line 653: | Line 554: | ||
| | 11L3s | | | 11L3s | ||
| | 5\14 < g < 4\11 | | | 5\14 < g < 4\11 | ||
| | g = 9\25, 13\36, 17\47 | | | g = 9\25, 13\36, 17\47 | ||
| | 3g-1+4-11g = 3-8g | | | 3g-1+4-11g = 3-8g | ||
| Line 659: | Line 559: | ||
| | 12L2s | | | 12L2s | ||
| | 1\14 < g < 1\12 | | | 1\14 < g < 1\12 | ||
| | g = 2\26, 3\38, 4\50 | | | g = 2\26, 3\38, 4\50 | ||
| | g+1\2-6g = 1\2-5g | | | g+1\2-6g = 1\2-5g | ||
| Line 665: | Line 564: | ||
| | 13L1s | | | 13L1s | ||
| | 1\14 < g < 1\13 | | | 1\14 < g < 1\13 | ||
| | g = 2\27, 3\40, 4\53 | | | g = 2\27, 3\40, 4\53 | ||
| | g+1-13g = 1-12g | | | g+1-13g = 1-12g | ||
| Line 676: | Line 574: | ||
! | Large-small numbers | ! | Large-small numbers | ||
! | Generator range | ! | Generator range | ||
! | Boundaries of propriety, maximum expressiveness, diatonicity | ! | Boundaries of propriety, maximum expressiveness, diatonicity | ||
! | Large step+Small step | ! | Large step+Small step | ||
| Line 682: | Line 579: | ||
| | 1L14s | | | 1L14s | ||
| | 14\15 < g < 1 | | | 14\15 < g < 1 | ||
| | ''g = 15\16, 16\17, 17\18'' | | | ''g = 15\16, 16\17, 17\18'' | ||
| | 14g-13+1-g = 13g-12 | | | 14g-13+1-g = 13g-12 | ||
| Line 688: | Line 584: | ||
| | 2L13s | | | 2L13s | ||
| | 7\15 < g < 1\2 | | | 7\15 < g < 1\2 | ||
| | g = ''8\17'', 9\19, 10\21 | | | g = ''8\17'', 9\19, 10\21 | ||
| | 13g-6+1-2g = 11g-5 | | | 13g-6+1-2g = 11g-5 | ||
| Line 694: | Line 589: | ||
| | 3L12s | | | 3L12s | ||
| | 4\15 < g < 1\3 | | | 4\15 < g < 1\3 | ||
| | g = ''5\18'', 6\21, 7\24 | | | g = ''5\18'', 6\21, 7\24 | ||
| | 4g-1+1\3-g = 3g-2\3 | | | 4g-1+1\3-g = 3g-2\3 | ||
| Line 700: | Line 594: | ||
| | 4L11s | | | 4L11s | ||
| | 11\15 < g < 3\4 | | | 11\15 < g < 3\4 | ||
| | g = 14\19, 17\23, 20\27 | | | g = 14\19, 17\23, 20\27 | ||
| | 11g-8+3-4g = 8g-4 | | | 11g-8+3-4g = 8g-4 | ||
| Line 706: | Line 599: | ||
| | 5L10s | | | 5L10s | ||
| | 2\15 < g < 1\5 | | | 2\15 < g < 1\5 | ||
| | g = 3\20, 4\25, 5\30 | | | g = 3\20, 4\25, 5\30 | ||
| | 2g-1\5+1\5-g = g | | | 2g-1\5+1\5-g = g | ||
| Line 712: | Line 604: | ||
| | 6L9s | | | 6L9s | ||
| | 2\15 < g < 1\6 | | | 2\15 < g < 1\6 | ||
| | g = 3\21, 4\27, 5\33 | | | g = 3\21, 4\27, 5\33 | ||
| | 3g-1\3+1\3-2g = g | | | 3g-1\3+1\3-2g = g | ||
| Line 718: | Line 609: | ||
| | 7L8s | | | 7L8s | ||
| | 2\15 < g < 1\7 | | | 2\15 < g < 1\7 | ||
| | g = 3\22, 4\29, 5\36 | | | g = 3\22, 4\29, 5\36 | ||
| | 8g-1+1-7g = g | | | 8g-1+1-7g = g | ||
| Line 724: | Line 614: | ||
| | 8L7s | | | 8L7s | ||
| | 13\15 < g < 7\8 | | | 13\15 < g < 7\8 | ||
| | g = 20\23, 27\31, 34\39 | | | g = 20\23, 27\31, 34\39 | ||
| | 7g-6+7-8g = 1-g | | | 7g-6+7-8g = 1-g | ||
| Line 730: | Line 619: | ||
| | 9L6s | | | 9L6s | ||
| | 3\15 < g < 2\9 | | | 3\15 < g < 2\9 | ||
| | g = 5\24, 7\33, 9\42 | | | g = 5\24, 7\33, 9\42 | ||
| | 2g-1\3+2\3-3g = 1\3-g | | | 2g-1\3+2\3-3g = 1\3-g | ||
| Line 736: | Line 624: | ||
| | 10L5s | | | 10L5s | ||
| | 1\15 < g < 1\10 | | | 1\15 < g < 1\10 | ||
| | g = 2\25, 3\35, 4\45 | | | g = 2\25, 3\35, 4\45 | ||
| | g+1\5-2g = 1\5-g | | | g+1\5-2g = 1\5-g | ||
| Line 742: | Line 629: | ||
| | 11L4s | | | 11L4s | ||
| | 4\15 < g < 3\11 | | | 4\15 < g < 3\11 | ||
| | g = 7\26, 10\37, 13\48 | | | g = 7\26, 10\37, 13\48 | ||
| | 4g-1+3-11g = 2-7g | | | 4g-1+3-11g = 2-7g | ||
| Line 748: | Line 634: | ||
| | 12L3s | | | 12L3s | ||
| | 1\15 < g < 1\12 | | | 1\15 < g < 1\12 | ||
| | g = 2\27, 3\39, 4\51 | | | g = 2\27, 3\39, 4\51 | ||
| | g+1\3-4g = 1\3-3g | | | g+1\3-4g = 1\3-3g | ||
| Line 754: | Line 639: | ||
| | 13L2s | | | 13L2s | ||
| | 8\15 < g < 7\13 | | | 8\15 < g < 7\13 | ||
| | g = 15\28, 22\41, 29\54 | | | g = 15\28, 22\41, 29\54 | ||
| | 2g-1+7-13g = 6-11g | | | 2g-1+7-13g = 6-11g | ||
| Line 760: | Line 644: | ||
| | 14L1s | | | 14L1s | ||
| | 1\15 < g < 1\14 | | | 1\15 < g < 1\14 | ||
| | g = 2\29, 3\43, 4\57 | | | g = 2\29, 3\43, 4\57 | ||
| | g+1-14g = 1-13g | | | g+1-14g = 1-13g | ||
| Line 771: | Line 654: | ||
! | Large-small numbers | ! | Large-small numbers | ||
! | Generator range | ! | Generator range | ||
! | Boundaries of propriety, maximum expressiveness, diatonicity | ! | Boundaries of propriety, maximum expressiveness, diatonicity | ||
! | Large step+Small step | ! | Large step+Small step | ||
| Line 777: | Line 659: | ||
| | 1L15s | | | 1L15s | ||
| | 15\16 < g < 1 | | | 15\16 < g < 1 | ||
| | ''g = 16\17, 17\18, 18\19'' | | | ''g = 16\17, 17\18, 18\19'' | ||
| | 15g-14+1-g = 14g-13 | | | 15g-14+1-g = 14g-13 | ||
| Line 783: | Line 664: | ||
| | 2L14s | | | 2L14s | ||
| | 7\16 < g < 1\2 | | | 7\16 < g < 1\2 | ||
| | g = ''8\18, 9\20'', 10\22 | | | g = ''8\18, 9\20'', 10\22 | ||
| | 7g-3+1\2-g = 5\2-6g | | | 7g-3+1\2-g = 5\2-6g | ||
| Line 789: | Line 669: | ||
| | 3L13s | | | 3L13s | ||
| | 5\16 < g < 1\3 | | | 5\16 < g < 1\3 | ||
| | g = ''6\19'', 7\22, 8\25 | | | g = ''6\19'', 7\22, 8\25 | ||
| | 13g-4+1-3g = 10g-3 | | | 13g-4+1-3g = 10g-3 | ||
| Line 795: | Line 674: | ||
| | 4L12s | | | 4L12s | ||
| | 3\16 < g < 1\4 | | | 3\16 < g < 1\4 | ||
| | g = ''4\20'', 5\24, 6\28 | | | g = ''4\20'', 5\24, 6\28 | ||
| | 3g-1\2+1\4-g = 2g-1\4 | | | 3g-1\2+1\4-g = 2g-1\4 | ||
| Line 801: | Line 679: | ||
| | 5L11s | | | 5L11s | ||
| | 3\16 < g < 1\5 | | | 3\16 < g < 1\5 | ||
| | g = 4\21, 5\26, 6\31 | | | g = 4\21, 5\26, 6\31 | ||
| | 11g-2+1-5g = 6g-1 | | | 11g-2+1-5g = 6g-1 | ||
| Line 807: | Line 684: | ||
| | 6L10s | | | 6L10s | ||
| | 5\16 < g < 2\6 | | | 5\16 < g < 2\6 | ||
| | g = 7\22, 9\28, 11\34 | | | g = 7\22, 9\28, 11\34 | ||
| | 5g-3\2+1-3g = 2g-1\2 | | | 5g-3\2+1-3g = 2g-1\2 | ||
| Line 813: | Line 689: | ||
| | 7L9s | | | 7L9s | ||
| | 9\16 < g < 4\7 | | | 9\16 < g < 4\7 | ||
| | g = 13\23, 17\30, 21\37 | | | g = 13\23, 17\30, 21\37 | ||
| | 9g-5+4-7g = 2g-1 | | | 9g-5+4-7g = 2g-1 | ||
| Line 819: | Line 694: | ||
| | 8L8s | | | 8L8s | ||
| | 1\16 < g < 1\8 | | | 1\16 < g < 1\8 | ||
| | g = 2\24, 3\32, 4\40 | | | g = 2\24, 3\32, 4\40 | ||
| | g+1\8-g = 1\8 | | | g+1\8-g = 1\8 | ||
| Line 825: | Line 699: | ||
| | 9L7s | | | 9L7s | ||
| | 7\16 < g < 4\9 | | | 7\16 < g < 4\9 | ||
| | g = 11\25, 15\34, 19\43 | | | g = 11\25, 15\34, 19\43 | ||
| | 7g-3+4-9g = 1-2g | | | 7g-3+4-9g = 1-2g | ||
| Line 831: | Line 704: | ||
| | 10L6s | | | 10L6s | ||
| | 3\16 < g < 2\10 | | | 3\16 < g < 2\10 | ||
| | g = 5\26, 7\36, 8\46 | | | g = 5\26, 7\36, 8\46 | ||
| | 3g-1\2+1-5g = 1\2-2g | | | 3g-1\2+1-5g = 1\2-2g | ||
| Line 837: | Line 709: | ||
| | 11L5s | | | 11L5s | ||
| | 13\16 < g < 9\11 | | | 13\16 < g < 9\11 | ||
| | g = 22\27, 31\38, 40\49 | | | g = 22\27, 31\38, 40\49 | ||
| | 5g-4+9-11g = 5-6g | | | 5g-4+9-11g = 5-6g | ||
| Line 843: | Line 714: | ||
| | 12L4s | | | 12L4s | ||
| | 1\16 < g < 1\12 | | | 1\16 < g < 1\12 | ||
| | g = 2\28, 3\40, 4\52 | | | g = 2\28, 3\40, 4\52 | ||
| | g+1\4-3g = 1\4-2g | | | g+1\4-3g = 1\4-2g | ||
| Line 849: | Line 719: | ||
| | 13L3s | | | 13L3s | ||
| | 11\16 < g < 9\13 | | | 11\16 < g < 9\13 | ||
| | g = 20\29, 29\42, 38\55 | | | g = 20\29, 29\42, 38\55 | ||
| | 3g-2+9-13g = 7-10g | | | 3g-2+9-13g = 7-10g | ||
| Line 855: | Line 724: | ||
| | 14L2s | | | 14L2s | ||
| | 1\16 < g < 1\14 | | | 1\16 < g < 1\14 | ||
| | g = 2\30, 3\44, 4\58 | | | g = 2\30, 3\44, 4\58 | ||
| | g+1\2-7g = 1\2-6g | | | g+1\2-7g = 1\2-6g | ||
| Line 861: | Line 729: | ||
| | 15L1s | | | 15L1s | ||
| | 1\16 < g < 1\15 | | | 1\16 < g < 1\15 | ||
| | g = 2\31, 3\46, 4\61 | | | g = 2\31, 3\46, 4\61 | ||
| | g+1-15g = 1-14g | | | g+1-15g = 1-14g | ||
| Line 872: | Line 739: | ||
! | Large-small numbers | ! | Large-small numbers | ||
! | Generator range | ! | Generator range | ||
! | Boundaries of propriety, maximum expressiveness, diatonicity | ! | Boundaries of propriety, maximum expressiveness, diatonicity | ||
! | Large step+Small step | ! | Large step+Small step | ||
| Line 878: | Line 744: | ||
| | 1L16s | | | 1L16s | ||
| | 16\17 < g < 1 | | | 16\17 < g < 1 | ||
| | ''g = 17\18, 18\19, 19\20'' | | | ''g = 17\18, 18\19, 19\20'' | ||
| | 16g-15+1-g = 15g-14 | | | 16g-15+1-g = 15g-14 | ||
| Line 884: | Line 749: | ||
| | 2L15s | | | 2L15s | ||
| | 8\17 < g < 1\2 | | | 8\17 < g < 1\2 | ||
| | g = ''9\19'', ''10\21'', 11\23 | | | g = ''9\19'', ''10\21'', 11\23 | ||
| | 15g-7+1-2g = 13g-6 | | | 15g-7+1-2g = 13g-6 | ||
| Line 890: | Line 754: | ||
| | 3L14s | | | 3L14s | ||
| | 11\17 < g < 2\3 | | | 11\17 < g < 2\3 | ||
| | g = ''13\20'', 15\23, 17\26 | | | g = ''13\20'', 15\23, 17\26 | ||
| | 14g-9+2-3g = 11g-7 | | | 14g-9+2-3g = 11g-7 | ||
| Line 896: | Line 759: | ||
| | 4L13s | | | 4L13s | ||
| | 4\17 < g < 1\4 | | | 4\17 < g < 1\4 | ||
| | g = ''5\21'', 6\25, 7\29 | | | g = ''5\21'', 6\25, 7\29 | ||
| | 13g-3+1-4g = 9g-2 | | | 13g-3+1-4g = 9g-2 | ||
| Line 902: | Line 764: | ||
| | 5L12s | | | 5L12s | ||
| | 10\17 < g < 3\5 | | | 10\17 < g < 3\5 | ||
| | g = 13\22, 16\27, 19\32 | | | g = 13\22, 16\27, 19\32 | ||
| | 12g-7+3-5g = 7g-4 | | | 12g-7+3-5g = 7g-4 | ||
| Line 908: | Line 769: | ||
| | 6L11s | | | 6L11s | ||
| | 14\17 < g < 5\6 | | | 14\17 < g < 5\6 | ||
| | g = 19\23, 24\29, 29\35 | | | g = 19\23, 24\29, 29\35 | ||
| | 11g-9+5-6g = 5g-4 | | | 11g-9+5-6g = 5g-4 | ||
| Line 914: | Line 774: | ||
| | 7L10s | | | 7L10s | ||
| | 12\17 < g < 5\7 | | | 12\17 < g < 5\7 | ||
| | g = 17\24, 22\31, 27\38 | | | g = 17\24, 22\31, 27\38 | ||
| | 10g-7+5-7g = 3g-2 | | | 10g-7+5-7g = 3g-2 | ||
| Line 920: | Line 779: | ||
| | 8L9s | | | 8L9s | ||
| | 2\17 < g < 1\8 | | | 2\17 < g < 1\8 | ||
| | g = 3\25, 4\33, 5\41 | | | g = 3\25, 4\33, 5\41 | ||
| | 9g-1+1-8g = g | | | 9g-1+1-8g = g | ||
| Line 926: | Line 784: | ||
| | 9L8s | | | 9L8s | ||
| | 15\17 < g < 8\9 | | | 15\17 < g < 8\9 | ||
| | g = 23\26, 31\35, 39\44 | | | g = 23\26, 31\35, 39\44 | ||
| | 8g-7+8-9g = 1-g | | | 8g-7+8-9g = 1-g | ||
| Line 932: | Line 789: | ||
| | 10L7s | | | 10L7s | ||
| | 5\17 < g < 3\10 | | | 5\17 < g < 3\10 | ||
| | g = 8\27, 11\37, 14\47 | | | g = 8\27, 11\37, 14\47 | ||
| | 7g-2+3-10g = 1-3g | | | 7g-2+3-10g = 1-3g | ||
| Line 938: | Line 794: | ||
| | 11L6s | | | 11L6s | ||
| | 3\17 < g < 2\11 | | | 3\17 < g < 2\11 | ||
| | g = 5\28, 7\39, 9\50 | | | g = 5\28, 7\39, 9\50 | ||
| | 6g-1+2-11g = 1-5g | | | 6g-1+2-11g = 1-5g | ||
| Line 944: | Line 799: | ||
| | 12L5s | | | 12L5s | ||
| | 7\17 < g < 5\12 | | | 7\17 < g < 5\12 | ||
| | g = 12\29, 17\41, 22\53 | | | g = 12\29, 17\41, 22\53 | ||
| | 5g-2+5-12g = 3-7g | | | 5g-2+5-12g = 3-7g | ||
| Line 950: | Line 804: | ||
| | 13L4s | | | 13L4s | ||
| | 13\17 < g < 10\13 | | | 13\17 < g < 10\13 | ||
| | g = 23\30, 33\43, 43\56 | | | g = 23\30, 33\43, 43\56 | ||
| | 4g-3+10-13g = 7-9g | | | 4g-3+10-13g = 7-9g | ||
| Line 956: | Line 809: | ||
| | 14L3s | | | 14L3s | ||
| | 6\17 < g < 5\14 | | | 6\17 < g < 5\14 | ||
| | g = 11\31, 16\45, 21\59 | | | g = 11\31, 16\45, 21\59 | ||
| | 3g-1+5-14g = 4-11g | | | 3g-1+5-14g = 4-11g | ||
| Line 962: | Line 814: | ||
| | 15L2s | | | 15L2s | ||
| | 9\17 < g < 8\15 | | | 9\17 < g < 8\15 | ||
| | g = 17\32, 25\47, 33\62 | | | g = 17\32, 25\47, 33\62 | ||
| | 2g-1+8-15g = 7-13g | | | 2g-1+8-15g = 7-13g | ||
| Line 968: | Line 819: | ||
| | 16L1s | | | 16L1s | ||
| | 1\17 < g < 1\16 | | | 1\17 < g < 1\16 | ||
| | g = 2\33, 3\49, 4\65 | | | g = 2\33, 3\49, 4\65 | ||
| | g+1-16g = 1-15g | | | g+1-16g = 1-15g | ||
| Line 979: | Line 829: | ||
! | Large-small numbers | ! | Large-small numbers | ||
! | Generator range | ! | Generator range | ||
! | Boundaries of propriety, maximum expressiveness, diatonicity | ! | Boundaries of propriety, maximum expressiveness, diatonicity | ||
! | Large step+Small step | ! | Large step+Small step | ||
| Line 985: | Line 834: | ||
| | 1L17s | | | 1L17s | ||
| | 17\18 < g < 1 | | | 17\18 < g < 1 | ||
| | ''g = 18\19, 19\20, 20\21'' | | | ''g = 18\19, 19\20, 20\21'' | ||
| | 17g-16+1-g = 16g-15 | | | 17g-16+1-g = 16g-15 | ||
| Line 991: | Line 839: | ||
| | 2L16s | | | 2L16s | ||
| | 8\18 < g < 1\2 | | | 8\18 < g < 1\2 | ||
| | g = ''9\20'', ''10\22'', 11\24 | | | g = ''9\20'', ''10\22'', 11\24 | ||
| | 8g-7\2+1\2-g = 7g-3 | | | 8g-7\2+1\2-g = 7g-3 | ||
| Line 997: | Line 844: | ||
| | 3L15s | | | 3L15s | ||
| | 5\18 < g < 1\3 | | | 5\18 < g < 1\3 | ||
| | g = ''6\21'', 7\24, 8\27 | | | g = ''6\21'', 7\24, 8\27 | ||
| | 5g-4\3+1\3-g = 4g-3 | | | 5g-4\3+1\3-g = 4g-3 | ||
| Line 1,003: | Line 849: | ||
| | 4L14s | | | 4L14s | ||
| | <span style="line-height: 15.6000003814697px;">4\18 < g < 1\4</span> | | | <span style="line-height: 15.6000003814697px;">4\18 < g < 1\4</span> | ||
| | <span style="line-height: 15.6000003814697px;">g = ''5\22'', 6\26,</span> 7\30 | | | <span style="line-height: 15.6000003814697px;">g = ''5\22'', 6\26,</span> 7\30 | ||
| | 7g-3\2+1\2-2g = 5g-2 | | | 7g-3\2+1\2-2g = 5g-2 | ||
| Line 1,009: | Line 854: | ||
| | 5L13s | | | 5L13s | ||
| | 7\18 < g < 2\5 | | | 7\18 < g < 2\5 | ||
| | g = 9\23, 11\28, 13\33 | | | g = 9\23, 11\28, 13\33 | ||
| | 13g-5+2-5g = 8g-3 | | | 13g-5+2-5g = 8g-3 | ||
| Line 1,015: | Line 859: | ||
| | 6L12s | | | 6L12s | ||
| | 2\18 < g < 1\6 | | | 2\18 < g < 1\6 | ||
| | g = 3\24, 4\30, 5\36 | | | g = 3\24, 4\30, 5\36 | ||
| | 2g-1\6+1\6-g = g | | | 2g-1\6+1\6-g = g | ||
| Line 1,021: | Line 864: | ||
| | 7L11s | | | 7L11s | ||
| | 5\18 < g < 2\7 | | | 5\18 < g < 2\7 | ||
| | g = 7\25, 9\32, 11\39 | | | g = 7\25, 9\32, 11\39 | ||
| | 11g-3+2-7g = 4g-1 | | | 11g-3+2-7g = 4g-1 | ||
| Line 1,027: | Line 869: | ||
| | 8L10s | | | 8L10s | ||
| | 2\18 < g < 1\8 | | | 2\18 < g < 1\8 | ||
| | g = 3\26, 4\34, 5\42 | | | g = 3\26, 4\34, 5\42 | ||
| | 5g-1\2+1\2-4g = g | | | 5g-1\2+1\2-4g = g | ||
| Line 1,033: | Line 874: | ||
| | 9L9s | | | 9L9s | ||
| | 1\18 < g < 1\9 | | | 1\18 < g < 1\9 | ||
| | g = 2\27, 3\36, 4\45 | | | g = 2\27, 3\36, 4\45 | ||
| | g+1\9-g = 1\9 | | | g+1\9-g = 1\9 | ||
| Line 1,039: | Line 879: | ||
| | 10L8s | | | 10L8s | ||
| | 7\18 < g < 4\10 | | | 7\18 < g < 4\10 | ||
| | g = 11\28, 15\38, 19\48 | | | g = 11\28, 15\38, 19\48 | ||
| | 4g-3\2+2-5g = 1\2-g | | | 4g-3\2+2-5g = 1\2-g | ||
| Line 1,045: | Line 884: | ||
| | 11L7s | | | 11L7s | ||
| | 13\18 < g < 8\11 | | | 13\18 < g < 8\11 | ||
| | g = 21\29, 29\40, 37\51 | | | g = 21\29, 29\40, 37\51 | ||
| | 7g-5+8-11g = 3-4g | | | 7g-5+8-11g = 3-4g | ||
| Line 1,051: | Line 889: | ||
| | 12L6s | | | 12L6s | ||
| | 1\18 < g < 1\12 | | | 1\18 < g < 1\12 | ||
| | g = 2\30, 3\42, 4\54 | | | g = 2\30, 3\42, 4\54 | ||
| | g+1\6-2g = 1\6-g | | | g+1\6-2g = 1\6-g | ||
| Line 1,057: | Line 894: | ||
| | 13L5s | | | 13L5s | ||
| | 11\18 < g < 8\13 | | | 11\18 < g < 8\13 | ||
| | g = 19\31, 27\44, 35\57 | | | g = 19\31, 27\44, 35\57 | ||
| | 5g-3+8-13g = 5-8g | | | 5g-3+8-13g = 5-8g | ||
| Line 1,063: | Line 899: | ||
| | 14L4s | | | 14L4s | ||
| | 5\18 < g < 4\14 | | | 5\18 < g < 4\14 | ||
| | g = 9\32, 13\46, 17\60 | | | g = 9\32, 13\46, 17\60 | ||
| | 2g-1\2+2-7g = 3\2-5g | | | 2g-1\2+2-7g = 3\2-5g | ||
| Line 1,069: | Line 904: | ||
| | 15L3s | | | 15L3s | ||
| | 1\18 < g < 1\15 | | | 1\18 < g < 1\15 | ||
| | g = 2\33, 3\48, 4\63 | | | g = 2\33, 3\48, 4\63 | ||
| | g+1\3-5g = 1\3-4g | | | g+1\3-5g = 1\3-4g | ||
| Line 1,075: | Line 909: | ||
| | 16L2s | | | 16L2s | ||
| | 1\18 < g < 1\16 | | | 1\18 < g < 1\16 | ||
| | g = 2\34, 3\50, 4\66 | | | g = 2\34, 3\50, 4\66 | ||
| | g+1\2-8g = 1\2-7g | | | g+1\2-8g = 1\2-7g | ||
| Line 1,081: | Line 914: | ||
| | 17L1s | | | 17L1s | ||
| | 1\18 < g < 1\17 | | | 1\18 < g < 1\17 | ||
| | g = 2\35, 3\52, 4\69 | | | g = 2\35, 3\52, 4\69 | ||
| | g+1-17g = 1-16g | | | g+1-17g = 1-16g | ||
| Line 1,092: | Line 924: | ||
! | Large-small numbers | ! | Large-small numbers | ||
! | Generator range | ! | Generator range | ||
! | Boundaries of propriety, maximum expressiveness, diatonicity | ! | Boundaries of propriety, maximum expressiveness, diatonicity | ||
! |Large step+Small step | ! |Large step+Small step | ||
| Line 1,098: | Line 929: | ||
| | 1L18s | | | 1L18s | ||
| | 18\19 < g < 1 | | | 18\19 < g < 1 | ||
| | ''g = 19\20, 20\21, 21\22'' | | | ''g = 19\20, 20\21, 21\22'' | ||
| |18g-17+1-g = 17g-16 | | |18g-17+1-g = 17g-16 | ||
| Line 1,104: | Line 934: | ||
| | 2L17s | | | 2L17s | ||
| | 9\19 < g < 1\2 | | | 9\19 < g < 1\2 | ||
| | g = ''10\21'', ''11\23'', 12\25 | | | g = ''10\21'', ''11\23'', 12\25 | ||
| |17g-8+1-2g = 15g-7 | | |17g-8+1-2g = 15g-7 | ||
| Line 1,110: | Line 939: | ||
| | 3L16s | | | 3L16s | ||
| | 6\19 < g < 1\3 | | | 6\19 < g < 1\3 | ||
| | g = ''7\22'', 8\25, 10\31 | | | g = ''7\22'', 8\25, 10\31 | ||
| |16g-5+1-3g = 13g-4 | | |16g-5+1-3g = 13g-4 | ||
| Line 1,116: | Line 944: | ||
| | 4L15s | | | 4L15s | ||
| | 14\19 < g < 3\4 | | | 14\19 < g < 3\4 | ||
| | g = ''17\23'', 20\27, 23\31 | | | g = ''17\23'', 20\27, 23\31 | ||
| |15g-11+3-4g = 11g-8 | | |15g-11+3-4g = 11g-8 | ||
| Line 1,122: | Line 949: | ||
| | 5L14s | | | 5L14s | ||
| | 15\19 < g < 4\5 | | | 15\19 < g < 4\5 | ||
| | g = 19\24, 23\29, 27\34 | | | g = 19\24, 23\29, 27\34 | ||
| |14g-11+4-5g = 9g-7 | | |14g-11+4-5g = 9g-7 | ||
| Line 1,128: | Line 954: | ||
| | 6L13s | | | 6L13s | ||
| | 3\19 < g < 1\6 | | | 3\19 < g < 1\6 | ||
| | g = 4\25, 5\31, 6/37 | | | g = 4\25, 5\31, 6/37 | ||
| |13g-2+1-6g = 7g-1 | | |13g-2+1-6g = 7g-1 | ||
| Line 1,134: | Line 959: | ||
| | 7L12s | | | 7L12s | ||
| | 8\19 < g < 3\7 | | | 8\19 < g < 3\7 | ||
| | g = 11\26, 14\33, 17\40 | | | g = 11\26, 14\33, 17\40 | ||
| |12g-5+3-7g = 5g-2 | | |12g-5+3-7g = 5g-2 | ||
| Line 1,140: | Line 964: | ||
| | 8L11s | | | 8L11s | ||
| | 7\19 < g < 3\8 | | | 7\19 < g < 3\8 | ||
| | g = 10\27, 13\35, 16\43 | | | g = 10\27, 13\35, 16\43 | ||
| |11g-4+3-8g = 3g-1 | | |11g-4+3-8g = 3g-1 | ||
| Line 1,146: | Line 969: | ||
| | 9L10s | | | 9L10s | ||
| | 2\19 < g < 1\9 | | | 2\19 < g < 1\9 | ||
| | g = 3\28, 4\37, 5\46 | | | g = 3\28, 4\37, 5\46 | ||
| |10g-1+1-9g = g | | |10g-1+1-9g = g | ||
| Line 1,152: | Line 974: | ||
| | 10L9s | | | 10L9s | ||
| | 17\19 < g < 9\10 | | | 17\19 < g < 9\10 | ||
| | g = 26\29, 35\39, 44\49 | | | g = 26\29, 35\39, 44\49 | ||
| |9g-8+9-10g = 1-g | | |9g-8+9-10g = 1-g | ||
| Line 1,158: | Line 979: | ||
| | 11L8s | | | 11L8s | ||
| | 12\19 < g < 7\11 | | | 12\19 < g < 7\11 | ||
| | g = 19\30, 26\41, 33\52 | | | g = 19\30, 26\41, 33\52 | ||
| |8g-5+7-11g = 2-3g | | |8g-5+7-11g = 2-3g | ||
| Line 1,164: | Line 984: | ||
| | 12L7s | | | 12L7s | ||
| | 11\19 < g < 7\12 | | | 11\19 < g < 7\12 | ||
| | g = 18\31, 25\43, 32\55 | | | g = 18\31, 25\43, 32\55 | ||
| |7g-4+7-12g = 3-5g | | |7g-4+7-12g = 3-5g | ||
| Line 1,170: | Line 989: | ||
| | 13L6s | | | 13L6s | ||
| | 16\19 < g < 11\13 | | | 16\19 < g < 11\13 | ||
| | g = 27\32, 38\45, 49\58 | | | g = 27\32, 38\45, 49\58 | ||
| |6g-5+11-13g = 6-7g | | |6g-5+11-13g = 6-7g | ||
| Line 1,176: | Line 994: | ||
| | 14L5s | | | 14L5s | ||
| | 4\19 < g < 3\14 | | | 4\19 < g < 3\14 | ||
| | g = 7\33, 10\47, 13\61 | | | g = 7\33, 10\47, 13\61 | ||
| |5g-1+3-14g = 2-9g | | |5g-1+3-14g = 2-9g | ||
| Line 1,182: | Line 999: | ||
| | 15L4s | | | 15L4s | ||
| | 5\19 < g < 4\15 | | | 5\19 < g < 4\15 | ||
| | g = 9\34, 13\49, 17\64 | | | g = 9\34, 13\49, 17\64 | ||
| |4g-1+4-15g = 3-11g | | |4g-1+4-15g = 3-11g | ||
| Line 1,188: | Line 1,004: | ||
| | 16L3s | | | 16L3s | ||
| | 13\19 < g < 11\16 | | | 13\19 < g < 11\16 | ||
| | g = 24\35, 35\51, 46\67 | | | g = 24\35, 35\51, 46\67 | ||
| |3g-2+11-16g = 9-13g | | |3g-2+11-16g = 9-13g | ||
| Line 1,194: | Line 1,009: | ||
| | 17L2s | | | 17L2s | ||
| | 10\19 < g < 9\17 | | | 10\19 < g < 9\17 | ||
| | g = 19\36, 28\53, 37\70 | | | g = 19\36, 28\53, 37\70 | ||
| |2g-1+9-17g = 8-15g | | |2g-1+9-17g = 8-15g | ||
| Line 1,200: | Line 1,014: | ||
| | 18L1s | | | 18L1s | ||
| | 1\19 < g < 1\18 | | | 1\19 < g < 1\18 | ||
| | g = 2\37, 3\55, 4\73 | | | g = 2\37, 3\55, 4\73 | ||
| |g+1-18g = 1-17g | | |g+1-18g = 1-17g | ||
| Line 1,211: | Line 1,024: | ||
! | Large-small numbers | ! | Large-small numbers | ||
! | Generator range | ! | Generator range | ||
! | Boundaries of propriety, maximum expressiveness, diatonicity | ! | Boundaries of propriety, maximum expressiveness, diatonicity | ||
! | Large step+Small step | ! | Large step+Small step | ||
| Line 1,217: | Line 1,029: | ||
| | 1L19s | | | 1L19s | ||
| | 19\20 < g < 1 | | | 19\20 < g < 1 | ||
| | ''g = 20\21, 21\22, 22\23'' | | | ''g = 20\21, 21\22, 22\23'' | ||
| | 19g-18+1-g = 18g-17 | | | 19g-18+1-g = 18g-17 | ||
| Line 1,223: | Line 1,034: | ||
| | 2L18s | | | 2L18s | ||
| | 9\20 < g < 1\2 | | | 9\20 < g < 1\2 | ||
| | g = ''10\22'', ''11\24'', 12\26 | | | g = ''10\22'', ''11\24'', 12\26 | ||
| | 9g-4+1\2-g = 8g-7\2 | | | 9g-4+1\2-g = 8g-7\2 | ||
| Line 1,229: | Line 1,039: | ||
| | 3L17s | | | 3L17s | ||
| | 13\20 < g < 2\3 | | | 13\20 < g < 2\3 | ||
| | g = ''15\23'', 17\26, 20\29 | | | g = ''15\23'', 17\26, 20\29 | ||
| | 17g-11+2-3g = 14g-9 | | | 17g-11+2-3g = 14g-9 | ||
| Line 1,235: | Line 1,044: | ||
| | 4L16s | | | 4L16s | ||
| | 4\20 < g < 1\4 | | | 4\20 < g < 1\4 | ||
| | g = ''5\24'', 6\28, 7\32 | | | g = ''5\24'', 6\28, 7\32 | ||
| | 4g-3\4+1\4-g = 3g-1\4 | | | 4g-3\4+1\4-g = 3g-1\4 | ||
| Line 1,241: | Line 1,049: | ||
| | 5L15s | | | 5L15s | ||
| | 3\20 < g < 1\5 | | | 3\20 < g < 1\5 | ||
| | g = ''4\25'', 5\30, 6\35 | | | g = ''4\25'', 5\30, 6\35 | ||
| | 3g-2\5+1\5-g = 2g-1\5 | | | 3g-2\5+1\5-g = 2g-1\5 | ||
| Line 1,247: | Line 1,054: | ||
| | 6L14s | | | 6L14s | ||
| | 3\20 < g < 1\6 | | | 3\20 < g < 1\6 | ||
| | g = 4\26, 5\32, 6\38 | | | g = 4\26, 5\32, 6\38 | ||
| | 7g-1+1\2-3g = 4g-1\2 | | | 7g-1+1\2-3g = 4g-1\2 | ||
| Line 1,253: | Line 1,059: | ||
| | 7L13s | | | 7L13s | ||
| | 17\20 < g < 6\7 | | | 17\20 < g < 6\7 | ||
| | g = 23\27, 29\34, 35\41 | | | g = 23\27, 29\34, 35\41 | ||
| | 13g-11+6-7g = 6g-5 | | | 13g-11+6-7g = 6g-5 | ||
| Line 1,259: | Line 1,064: | ||
| | 8L12s | | | 8L12s | ||
| | 2\20 < g < 1\8 | | | 2\20 < g < 1\8 | ||
| | g = 3\28, 4\36, 5\44 | | | g = 3\28, 4\36, 5\44 | ||
| | 3g-1\4+1\4-2g = g | | | 3g-1\4+1\4-2g = g | ||
| Line 1,265: | Line 1,069: | ||
| | 9L11s | | | 9L11s | ||
| | 11\20 < g < 5\9 | | | 11\20 < g < 5\9 | ||
| | g = 16\29, 21\38, 26\47 | | | g = 16\29, 21\38, 26\47 | ||
| | 11g-6+5-9g =2g-1 | | | 11g-6+5-9g =2g-1 | ||
| Line 1,271: | Line 1,074: | ||
| | 10L10s | | | 10L10s | ||
| | 1\20 < g < 1\10 | | | 1\20 < g < 1\10 | ||
| | g = 2\30, 3\40, 4\50 | | | g = 2\30, 3\40, 4\50 | ||
| | g+1\10-g = 1\10 | | | g+1\10-g = 1\10 | ||
| Line 1,277: | Line 1,079: | ||
| | 11L9s | | | 11L9s | ||
| | 9\20 < g < 5\11 | | | 9\20 < g < 5\11 | ||
| | g = 14\31, 19\42, 24\53 | | | g = 14\31, 19\42, 24\53 | ||
| | 9g-4+5-11g = 1-2g | | | 9g-4+5-11g = 1-2g | ||
| Line 1,283: | Line 1,084: | ||
| | 12L8s | | | 12L8s | ||
| | 3\20 < g < 2\12 | | | 3\20 < g < 2\12 | ||
| | g = 5\32, 7\44, 9\56 | | | g = 5\32, 7\44, 9\56 | ||
| | 2g-1\4+1\2-3g = 1\4-g | | | 2g-1\4+1\2-3g = 1\4-g | ||
| Line 1,289: | Line 1,089: | ||
| | 13L7s | | | 13L7s | ||
| | 3\20 < g < 2\13 | | | 3\20 < g < 2\13 | ||
| | g = 5\33, 7\46, 9\59 | | | g = 5\33, 7\46, 9\59 | ||
| | 7g-1+2-13g = 1-6g | | | 7g-1+2-13g = 1-6g | ||
| Line 1,295: | Line 1,094: | ||
| | 14L6s | | | 14L6s | ||
| | 7\20 < g < 5\14 | | | 7\20 < g < 5\14 | ||
| | g = 12\34, 17\48, 22\62 | | | g = 12\34, 17\48, 22\62 | ||
| | 3g-1+5\2-7g = 2-4g | | | 3g-1+5\2-7g = 2-4g | ||
| Line 1,301: | Line 1,099: | ||
| | 15L5s | | | 15L5s | ||
| | 1\20 < g < 1\15 | | | 1\20 < g < 1\15 | ||
| | g = 2\35, 3\50, 4\65 | | | g = 2\35, 3\50, 4\65 | ||
| | g+1\5-3g = 1\5-2g | | | g+1\5-3g = 1\5-2g | ||
| Line 1,307: | Line 1,104: | ||
| | 16L4s | | | 16L4s | ||
| | 1\20 < g < 1\16 | | | 1\20 < g < 1\16 | ||
| | g = 2\36, 3\52, 4\68 | | | g = 2\36, 3\52, 4\68 | ||
| | g+1\4-4g = 1\4-3g | | | g+1\4-4g = 1\4-3g | ||
| Line 1,313: | Line 1,109: | ||
| | 17L3s | | | 17L3s | ||
| | 7\20 < g < 6\17 | | | 7\20 < g < 6\17 | ||
| | g = 13\37, 19\54, 25\71 | | | g = 13\37, 19\54, 25\71 | ||
| | 3g-1+6-17g = 5-14g | | | 3g-1+6-17g = 5-14g | ||
| Line 1,319: | Line 1,114: | ||
| | 18L2s | | | 18L2s | ||
| | 1\20 < g < 1\18 | | | 1\20 < g < 1\18 | ||
| | g = 2\38, 3\56, 4\74 | | | g = 2\38, 3\56, 4\74 | ||
| | g+1\2-9g = 1\2-8g | | | g+1\2-9g = 1\2-8g | ||
| Line 1,325: | Line 1,119: | ||
| | 19L1s | | | 19L1s | ||
| | 1\20 < g < 1\19 | | | 1\20 < g < 1\19 | ||
| | g = 2\39, 3\58, 4\77 | | | g = 2\39, 3\58, 4\77 | ||
| | g+1-19g = 1-18g | | | g+1-19g = 1-18g | ||
| Line 1,336: | Line 1,129: | ||
! | Large-small numbers | ! | Large-small numbers | ||
! | Generator range | ! | Generator range | ||
! | Boundaries of propriety, maximum expressiveness, diatonicity | ! | Boundaries of propriety, maximum expressiveness, diatonicity | ||
! | Large step+Small step | ! | Large step+Small step | ||
| Line 1,342: | Line 1,134: | ||
| | 1L20s | | | 1L20s | ||
| | 20\21 < g < 1 | | | 20\21 < g < 1 | ||
| | ''g = 21\22, 22\23, 23\24'' | | | ''g = 21\22, 22\23, 23\24'' | ||
| | 20g-19+1-g = 19g-18 | | | 20g-19+1-g = 19g-18 | ||
| Line 1,348: | Line 1,139: | ||
| | 2L19s | | | 2L19s | ||
| | 10\21 < g < 1\2 | | | 10\21 < g < 1\2 | ||
| | g = ''11\23, 12\25'', 13\27 | | | g = ''11\23, 12\25'', 13\27 | ||
| | 19g-9+1-2g = 17g-8 | | | 19g-9+1-2g = 17g-8 | ||
| Line 1,354: | Line 1,144: | ||
| | 3L18s | | | 3L18s | ||
| | 6\21 < g < 1\3 | | | 6\21 < g < 1\3 | ||
| | g = ''7\24'', 8\27, 9\30 | | | g = ''7\24'', 8\27, 9\30 | ||
| | 6g-5\3+1\3-g = 5g-4\3 | | | 6g-5\3+1\3-g = 5g-4\3 | ||
| Line 1,360: | Line 1,149: | ||
| | 4L17s | | | 4L17s | ||
| | 5\21 < g < 1\4 | | | 5\21 < g < 1\4 | ||
| | g = ''6\25'', 7\29, 8\33 | | | g = ''6\25'', 7\29, 8\33 | ||
| | 17g-2+1-4g = 13g-1 | | | 17g-2+1-4g = 13g-1 | ||
| Line 1,366: | Line 1,154: | ||
| | 5L16s | | | 5L16s | ||
| | 4\21 < g < 1\5 | | | 4\21 < g < 1\5 | ||
| | g = ''5\26'', 6\31, 7\36 | | | g = ''5\26'', 6\31, 7\36 | ||
| | 16g-3+1-5g = 11g-2 | | | 16g-3+1-5g = 11g-2 | ||
| Line 1,372: | Line 1,159: | ||
| | 6L15s | | | 6L15s | ||
| | 3\21 < g < 1\6 | | | 3\21 < g < 1\6 | ||
| | g = 4\27, 5\33, 6\39 | | | g = 4\27, 5\33, 6\39 | ||
| | 5g-2\3+1\3-2g = 3g-1\3 | | | 5g-2\3+1\3-2g = 3g-1\3 | ||
| Line 1,378: | Line 1,164: | ||
| | 7L14s | | | 7L14s | ||
| | 2\21 < g < 1\7 | | | 2\21 < g < 1\7 | ||
| | g = 3\28, 4\35, 5\42 | | | g = 3\28, 4\35, 5\42 | ||
| | 2g-1\7+1\7-g = g | | | 2g-1\7+1\7-g = g | ||
| Line 1,384: | Line 1,169: | ||
| | 8L13s | | | 8L13s | ||
| | 13\21 < g < 5\8 | | | 13\21 < g < 5\8 | ||
| | g = 18\29, 23\37, 28\45 | | | g = 18\29, 23\37, 28\45 | ||
| | 13g-8+5-8g = 5g-3 | | | 13g-8+5-8g = 5g-3 | ||
| Line 1,390: | Line 1,174: | ||
| | 9L12s | | | 9L12s | ||
| | 2\21 < g < 1\9 | | | 2\21 < g < 1\9 | ||
| | g = 3\30, 4\39, 5\48 | | | g = 3\30, 4\39, 5\48 | ||
| | 4g-1\3+1\3-3g = g | | | 4g-1\3+1\3-3g = g | ||
| Line 1,396: | Line 1,179: | ||
| | 10L11s | | | 10L11s | ||
| | 2\21 < g < 1\10 | | | 2\21 < g < 1\10 | ||
| | g = 3\31, 4\41, 5\51 | | | g = 3\31, 4\41, 5\51 | ||
| | 11g-1+1-10g = g | | | 11g-1+1-10g = g | ||
| Line 1,402: | Line 1,184: | ||
| | 11L10s | | | 11L10s | ||
| | 19\21 < g < 10\11 | | | 19\21 < g < 10\11 | ||
| | g = 29\32, 39\43, 49\54 | | | g = 29\32, 39\43, 49\54 | ||
| | 10g-9+10-11g = 1-g | | | 10g-9+10-11g = 1-g | ||
| Line 1,408: | Line 1,189: | ||
| | 12L9s | | | 12L9s | ||
| | 5\21 < g < 3\12 | | | 5\21 < g < 3\12 | ||
| | g = 8\33, 11\45, 14\57 | | | g = 8\33, 11\45, 14\57 | ||
| | 3g-2\3+1-4g = 1\3-3g | | | 3g-2\3+1-4g = 1\3-3g | ||
| Line 1,414: | Line 1,194: | ||
| | 13L8s | | | 13L8s | ||
| | 8\21 < g < 5\13 | | | 8\21 < g < 5\13 | ||
| | g = 13\34, 18\47, 23\70 | | | g = 13\34, 18\47, 23\70 | ||
| | 8g-3+5-13g = 2-5g | | | 8g-3+5-13g = 2-5g | ||
| Line 1,420: | Line 1,199: | ||
| | 14L7s | | | 14L7s | ||
| | 1\21 < g < 1\14 | | | 1\21 < g < 1\14 | ||
| | g = 2\35, 3\49, 4\63 | | | g = 2\35, 3\49, 4\63 | ||
| | g+1\7-2g = 1\7-g | | | g+1\7-2g = 1\7-g | ||
| Line 1,426: | Line 1,204: | ||
| | 15L6s | | | 15L6s | ||
| | 4\21 < g < 3\15 | | | 4\21 < g < 3\15 | ||
| | g = 7\36, 10\51, 13\66 | | | g = 7\36, 10\51, 13\66 | ||
| | 2g-1\3+1-5g = 2\3-3g | | | 2g-1\3+1-5g = 2\3-3g | ||
| Line 1,432: | Line 1,209: | ||
| | 16L5s | | | 16L5s | ||
| | 17\21 < g < 13\16 | | | 17\21 < g < 13\16 | ||
| | g = 30\37, 43\53, 56\69 | | | g = 30\37, 43\53, 56\69 | ||
| | 5g-4+13-16g = 9-11g | | | 5g-4+13-16g = 9-11g | ||
| Line 1,438: | Line 1,214: | ||
| | 17L4s | | | 17L4s | ||
| | 16\21 < g < 13\17 | | | 16\21 < g < 13\17 | ||
| | g = 29\38, 42\55, 55\72 | | | g = 29\38, 42\55, 55\72 | ||
| | 4g-3+13-17g = 10-13g | | | 4g-3+13-17g = 10-13g | ||
| Line 1,444: | Line 1,219: | ||
| | 18L3s | | | 18L3s | ||
| | 1\21 < g < 1\18 | | | 1\21 < g < 1\18 | ||
| | g = 2\39, 3\57, 4\75 | | | g = 2\39, 3\57, 4\75 | ||
| | g+1\3-6g = 1\3-5g | | | g+1\3-6g = 1\3-5g | ||
| Line 1,450: | Line 1,224: | ||
| | 19L2s | | | 19L2s | ||
| | 11\21 < g < 10\19 | | | 11\21 < g < 10\19 | ||
| | g = 21\40, 31\59, 41\78 | | | g = 21\40, 31\59, 41\78 | ||
| | 2g-1+10-19g = 9-17g | | | 2g-1+10-19g = 9-17g | ||
| Line 1,456: | Line 1,229: | ||
| | 20L1s | | | 20L1s | ||
| | 1\21 < g < 1\20 | | | 1\21 < g < 1\20 | ||
| | g = 2\41, 3\61, 4/81 | | | g = 2\41, 3\61, 4/81 | ||
| | g+1-20g = 1-19g | | | g+1-20g = 1-19g | ||
| Line 1,467: | Line 1,239: | ||
! | Large-small numbers | ! | Large-small numbers | ||
! | Generator range | ! | Generator range | ||
! | Boundaries of propriety, maximum expressiveness, diatonicity | ! | Boundaries of propriety, maximum expressiveness, diatonicity | ||
! |Large step+Small step | ! |Large step+Small step | ||
| Line 1,473: | Line 1,244: | ||
| | 1L21s | | | 1L21s | ||
| | 21\22 < g < 1 | | | 21\22 < g < 1 | ||
| | ''g = 22\23, 23\24, 24/25'' | | | ''g = 22\23, 23\24, 24/25'' | ||
| |21g-20+1-g = 20g-19 | | |21g-20+1-g = 20g-19 | ||
| Line 1,479: | Line 1,249: | ||
| | 2L20s | | | 2L20s | ||
| | 10\22 < g < 1\2 | | | 10\22 < g < 1\2 | ||
| | g = ''11\24,'' ''12\26'', 13\28 | | | g = ''11\24,'' ''12\26'', 13\28 | ||
| |10g-9\2+1\2-g = 9g-4 | | |10g-9\2+1\2-g = 9g-4 | ||
| Line 1,485: | Line 1,254: | ||
| | 3L19s | | | 3L19s | ||
| | 7\22 < g < 1\3 | | | 7\22 < g < 1\3 | ||
| | g = ''8\25'', 9\28, 10\31 | | | g = ''8\25'', 9\28, 10\31 | ||
| |19g-6+1-3g = 16g-5 | | |19g-6+1-3g = 16g-5 | ||
| Line 1,491: | Line 1,259: | ||
| | 4L18s | | | 4L18s | ||
| | 5\22 < g < 1\4 | | | 5\22 < g < 1\4 | ||
| | g = ''6\26'', 7\30, 8\34 | | | g = ''6\26'', 7\30, 8\34 | ||
| |9g-2+1\2-2g = 7g-3\2 | | |9g-2+1\2-2g = 7g-3\2 | ||
| Line 1,497: | Line 1,264: | ||
| | 5L17s | | | 5L17s | ||
| | 13\22 < g < 3\5 | | | 13\22 < g < 3\5 | ||
| | g = ''16\27'', 19\32, 22\37 | | | g = ''16\27'', 19\32, 22\37 | ||
| |17g-10+3-5g = 12g-7 | | |17g-10+3-5g = 12g-7 | ||
| Line 1,503: | Line 1,269: | ||
| | 6L16s | | | 6L16s | ||
| | 7\22 < g < 2\6 | | | 7\22 < g < 2\6 | ||
| | g = 9\28, 11\34, 13\40 | | | g = 9\28, 11\34, 13\40 | ||
| |8g-5\2+1-3g = 5g-2 | | |8g-5\2+1-3g = 5g-2 | ||
| Line 1,509: | Line 1,274: | ||
| | 7L15s | | | 7L15s | ||
| | 3\22 < g < 1\7 | | | 3\22 < g < 1\7 | ||
| | g = 4\29, 5\36, 6\43 | | | g = 4\29, 5\36, 6\43 | ||
| |15g-2+1-7g = 8g-1 | | |15g-2+1-7g = 8g-1 | ||
| Line 1,515: | Line 1,279: | ||
| | 8L14s | | | 8L14s | ||
| | 8\22 < g < 3\8 | | | 8\22 < g < 3\8 | ||
| | g = 11\30, 14\38, 17\46 | | | g = 11\30, 14\38, 17\46 | ||
| |7g-5\2+3\2-4g = 3g-2 | | |7g-5\2+3\2-4g = 3g-2 | ||
| Line 1,521: | Line 1,284: | ||
| | 9L13s | | | 9L13s | ||
| | 17\22 < g < 7\9 | | | 17\22 < g < 7\9 | ||
| | g = 24\31, 31\40, 38\49 | | | g = 24\31, 31\40, 38\49 | ||
| |13g-10+7-9g = 4g-3 | | |13g-10+7-9g = 4g-3 | ||
| Line 1,527: | Line 1,289: | ||
| | 10L12s | | | 10L12s | ||
| | 2\22 < g < 1\10 | | | 2\22 < g < 1\10 | ||
| | g = 3\32, 4\42, 5\52 | | | g = 3\32, 4\42, 5\52 | ||
| |6g-1\2+1\2-5g = g | | |6g-1\2+1\2-5g = g | ||
| Line 1,533: | Line 1,294: | ||
| | 11L11s | | | 11L11s | ||
| | 1\22 < g < 1\11 | | | 1\22 < g < 1\11 | ||
| | g = 2\33, 3\44, 4\55 | | | g = 2\33, 3\44, 4\55 | ||
| |g + 1\11-g = 1\11 | | |g + 1\11-g = 1\11 | ||
| Line 1,539: | Line 1,299: | ||
| | 12L10s | | | 12L10s | ||
| | 9\22 < g < 5\12 | | | 9\22 < g < 5\12 | ||
| | g = 14\34, 19\46, 24\58 | | | g = 14\34, 19\46, 24\58 | ||
| |5g-2+5\2-6g = 1\2-g | | |5g-2+5\2-6g = 1\2-g | ||
| Line 1,545: | Line 1,304: | ||
| | 13L9s | | | 13L9s | ||
| | 5\22 < g < 3\13 | | | 5\22 < g < 3\13 | ||
| | g = 8\35, 11\48, 14\61 | | | g = 8\35, 11\48, 14\61 | ||
| |9g-2+3-13g = 1-4g | | |9g-2+3-13g = 1-4g | ||
| Line 1,551: | Line 1,309: | ||
| | 14L8s | | | 14L8s | ||
| | 3\22 < g < 2\14 | | | 3\22 < g < 2\14 | ||
| | g = 5\36, 7\50, 9\64 | | | g = 5\36, 7\50, 9\64 | ||
| |4g-1\2+1-7g = 1\2-3g | | |4g-1\2+1-7g = 1\2-3g | ||
| Line 1,557: | Line 1,314: | ||
| | 15L7s | | | 15L7s | ||
| | 19\22 < g < 13\15 | | | 19\22 < g < 13\15 | ||
| | g = 32\37, 45\52, 58\67 | | | g = 32\37, 45\52, 58\67 | ||
| |7g-6+13-15g = 7-8g | | |7g-6+13-15g = 7-8g | ||
| Line 1,563: | Line 1,319: | ||
| | 16L6s | | | 16L6s | ||
| | 4\22 < g < 3\16 | | | 4\22 < g < 3\16 | ||
| | g = 7\38, 10\54, 13\70 | | | g = 7\38, 10\54, 13\70 | ||
| |3g-1\2+3\2-8g = 1-5g | | |3g-1\2+3\2-8g = 1-5g | ||
| Line 1,569: | Line 1,324: | ||
| | 17L5s | | | 17L5s | ||
| | 9\22 < g < 7\17 | | | 9\22 < g < 7\17 | ||
| | g = 16\39, 23\56, 30\73 | | | g = 16\39, 23\56, 30\73 | ||
| |5g-2+7-17g = 5-12g | | |5g-2+7-17g = 5-12g | ||
| Line 1,575: | Line 1,329: | ||
| | 18L4s | | | 18L4s | ||
| | 6\22 < g < 5\18 | | | 6\22 < g < 5\18 | ||
| | g = 11\40, 16\58, 21\76 | | | g = 11\40, 16\58, 21\76 | ||
| |2g-1\2+5\2-9g = 2-7g | | |2g-1\2+5\2-9g = 2-7g | ||
| Line 1,581: | Line 1,334: | ||
| | 19L3s | | | 19L3s | ||
| | 15\22 < g < 13\19 | | | 15\22 < g < 13\19 | ||
| | g = 28\41, 41\60, 54\79 | | | g = 28\41, 41\60, 54\79 | ||
| |3g-2+13-19g = 11-16g | | |3g-2+13-19g = 11-16g | ||
| Line 1,587: | Line 1,339: | ||
| | 20L2s | | | 20L2s | ||
| | 1\22 < g < 1\20 | | | 1\22 < g < 1\20 | ||
| | g = 2\42, 3\62, 4\72 | | | g = 2\42, 3\62, 4\72 | ||
| |g+1\2-10g = 1\2-9g | | |g+1\2-10g = 1\2-9g | ||
| Line 1,593: | Line 1,344: | ||
| | 21L1s | | | 21L1s | ||
| | 1\22 < g < 1\21 | | | 1\22 < g < 1\21 | ||
| | g = 2\43, 3\64, 4\85 | | | g = 2\43, 3\64, 4\85 | ||
| |g+1-21g = 1-20g | | |g+1-21g = 1-20g | ||
| Line 1,604: | Line 1,354: | ||
! | Large-small numbers | ! | Large-small numbers | ||
! | Generator range | ! | Generator range | ||
! | Boundaries of propriety, maximum expressiveness, diatonicity | ! | Boundaries of propriety, maximum expressiveness, diatonicity | ||
! | Large step+Small step | ! | Large step+Small step | ||
| Line 1,610: | Line 1,359: | ||
| | 1L22s | | | 1L22s | ||
| | <span style="line-height: 15.6000003814697px;">22\23 < g < 1</span> | | | <span style="line-height: 15.6000003814697px;">22\23 < g < 1</span> | ||
| | ''g = 23\24, 24\25, 25\26'' | | | ''g = 23\24, 24\25, 25\26'' | ||
| | 22g-21+1-g = 21g-20 | | | 22g-21+1-g = 21g-20 | ||
| Line 1,616: | Line 1,364: | ||
| | 2L21s | | | 2L21s | ||
| | 11\23 < g < 1\2 | | | 11\23 < g < 1\2 | ||
| | g = ''12\25, 13\27'', 14\29 | | | g = ''12\25, 13\27'', 14\29 | ||
| | 21g-10+1-2g = 19g-9 | | | 21g-10+1-2g = 19g-9 | ||
| Line 1,622: | Line 1,369: | ||
| | 3L20s | | | 3L20s | ||
| | 15\23 < g < 2\3 | | | 15\23 < g < 2\3 | ||
| | g = ''17\26'', 19\29, 21\32 | | | g = ''17\26'', 19\29, 21\32 | ||
| | 20g-13+1-3g = 17g-12 | | | 20g-13+1-3g = 17g-12 | ||
| Line 1,628: | Line 1,374: | ||
| | 4L19s | | | 4L19s | ||
| | 17\23 < g < 3\4 | | | 17\23 < g < 3\4 | ||
| | g = ''20\27'', 23\31, 26\35 | | | g = ''20\27'', 23\31, 26\35 | ||
| | 19g-14+3-4g = 15g-11 | | | 19g-14+3-4g = 15g-11 | ||
| Line 1,634: | Line 1,379: | ||
| | 5L18s | | | 5L18s | ||
| | 9\23 < g < 2\5 | | | 9\23 < g < 2\5 | ||
| | g = ''11\28'', 13\33, 15\38 | | | g = ''11\28'', 13\33, 15\38 | ||
| | 18g-7+2-5g = 13g-5 | | | 18g-7+2-5g = 13g-5 | ||
| Line 1,640: | Line 1,384: | ||
| | 6L17s | | | 6L17s | ||
| | 19\23 < g < 5\6 | | | 19\23 < g < 5\6 | ||
| | g = 24\29, 29\35, 34\41 | | | g = 24\29, 29\35, 34\41 | ||
| | 17g-15+1-6g = 11g-14 | | | 17g-15+1-6g = 11g-14 | ||
| Line 1,646: | Line 1,389: | ||
| | 7L16s | | | 7L16s | ||
| | 13\23 < g < 4\7 | | | 13\23 < g < 4\7 | ||
| | g = 17\30,<span style="line-height: 15.6000003814697px;"> 21\37,</span> 25\44 | | | g = 17\30,<span style="line-height: 15.6000003814697px;"> 21\37,</span> 25\44 | ||
| | 16g-9+4-7g = 9g-5 | | | 16g-9+4-7g = 9g-5 | ||
| Line 1,652: | Line 1,394: | ||
| | 8L15s | | | 8L15s | ||
| | 20\23 < g < 7\8 | | | 20\23 < g < 7\8 | ||
| | g = 27\31, 34\39, 41\47 | | | g = 27\31, 34\39, 41\47 | ||
| | 15g-13+7-8g = 7g-6 | | | 15g-13+7-8g = 7g-6 | ||
| Line 1,658: | Line 1,399: | ||
| | 9L14s | | | 9L14s | ||
| | 5\23 < g < 2\9 | | | 5\23 < g < 2\9 | ||
| | g = 7\32, 9\41, 11\50 | | | g = 7\32, 9\41, 11\50 | ||
| | 14g-7+<span style="line-height: 15.6000003814697px;">2-9g = 5g-5</span> | | | 14g-7+<span style="line-height: 15.6000003814697px;">2-9g = 5g-5</span> | ||
| Line 1,664: | Line 1,404: | ||
| | 10L13s | | | 10L13s | ||
| | 16\23 < g < 7\10 | | | 16\23 < g < 7\10 | ||
| | g = 23\33, 30\43, 37\53 | | | g = 23\33, 30\43, 37\53 | ||
| | 13g-9+7-10g = 3g-2 | | | 13g-9+7-10g = 3g-2 | ||
| Line 1,670: | Line 1,409: | ||
| | 11L12s | | | 11L12s | ||
| | 2\23 < g < 1\11 | | | 2\23 < g < 1\11 | ||
| | g = 3\34, 4\45, 5\56 | | | g = 3\34, 4\45, 5\56 | ||
| | 12g-1+1-11g = g | | | 12g-1+1-11g = g | ||
| Line 1,676: | Line 1,414: | ||
| | 12L11s | | | 12L11s | ||
| | 21\23 < g < 11\12 | | | 21\23 < g < 11\12 | ||
| | g = 32\35, 43\47, 54\59 | | | g = 32\35, 43\47, 54\59 | ||
| | <span style="line-height: 15.6000003814697px;">11g-10+11-12g = 1-g</span> | | | <span style="line-height: 15.6000003814697px;">11g-10+11-12g = 1-g</span> | ||
| Line 1,682: | Line 1,419: | ||
| | 13L10s | | | 13L10s | ||
| | 7\23 < g < 4\13 | | | 7\23 < g < 4\13 | ||
| | g = 11\36, 15\49, 19\62 | | | g = 11\36, 15\49, 19\62 | ||
| | 10g-3+4-13g =1-3g | | | 10g-3+4-13g =1-3g | ||
| Line 1,688: | Line 1,424: | ||
| | 14L9s | | | 14L9s | ||
| | 18\23 < g < 11\14 | | | 18\23 < g < 11\14 | ||
| | g = 29\37, 40\51, 51\65 | | | g = 29\37, 40\51, 51\65 | ||
| | 9g-7+11-14g = 4-5g | | | 9g-7+11-14g = 4-5g | ||
| Line 1,694: | Line 1,429: | ||
| | 15L8s | | | 15L8s | ||
| | 3\23 < g < 2\15 | | | 3\23 < g < 2\15 | ||
| | g = 5\38, 7\53, 9\68 | | | g = 5\38, 7\53, 9\68 | ||
| | 8g-1+2-15g = 1-7g | | | 8g-1+2-15g = 1-7g | ||
| Line 1,700: | Line 1,434: | ||
| | 16L7s | | | 16L7s | ||
| | 10\23 < g < 7\16 | | | 10\23 < g < 7\16 | ||
| | g = 17\39, 24\55, 31\71 | | | g = 17\39, 24\55, 31\71 | ||
| | 7g-3+<span style="line-height: 15.6000003814697px;">7-16g = 4-9g</span> | | | 7g-3+<span style="line-height: 15.6000003814697px;">7-16g = 4-9g</span> | ||
| Line 1,706: | Line 1,439: | ||
| | 17L6s | | | 17L6s | ||
| | 4\23 < g < 3\17 | | | 4\23 < g < 3\17 | ||
| | g = 7\40, 10\57, 13\74 | | | g = 7\40, 10\57, 13\74 | ||
| | 6g-1+3-17g = 2-11g | | | 6g-1+3-17g = 2-11g | ||
| Line 1,712: | Line 1,444: | ||
| | 18L5s | | | 18L5s | ||
| | 14\23 < g < 11\18 | | | 14\23 < g < 11\18 | ||
| | g = 25\41, 36\59, 47\77 | | | g = 25\41, 36\59, 47\77 | ||
| | 5g-4+11-18g = 7-13g | | | 5g-4+11-18g = 7-13g | ||
| Line 1,718: | Line 1,449: | ||
| | 19L4s | | | 19L4s | ||
| | 6\23 < g < 5\19 | | | 6\23 < g < 5\19 | ||
| | g = 11\42, 16\61, 21\80 | | | g = 11\42, 16\61, 21\80 | ||
| | 4g-1+5-19g = 4-15g | | | 4g-1+5-19g = 4-15g | ||
| Line 1,724: | Line 1,454: | ||
| | 20L3s | | | 20L3s | ||
| | 8\23 < g < 7\20 | | | 8\23 < g < 7\20 | ||
| | g = 15\43, 22\63, 29\83 | | | g = 15\43, 22\63, 29\83 | ||
| | 3g-1+13-20g = 12-17g | | | 3g-1+13-20g = 12-17g | ||
| Line 1,730: | Line 1,459: | ||
| | 21L2s | | | 21L2s | ||
| | 12\23 < g < 11\21 | | | 12\23 < g < 11\21 | ||
| | g = 23\44, 34\65, 45\86 | | | g = 23\44, 34\65, 45\86 | ||
| | 2g-1+11-21g = 10-19g | | | 2g-1+11-21g = 10-19g | ||
| Line 1,736: | Line 1,464: | ||
| | 22L1s | | | 22L1s | ||
| | 1\23 < g < 1\22 | | | 1\23 < g < 1\22 | ||
| | g = 2\45, 3\67, 4\89 | | | g = 2\45, 3\67, 4\89 | ||
| | g+1-22g = 1-221 | | | g+1-22g = 1-221 | ||
| Line 1,747: | Line 1,474: | ||
! | Large-small numbers | ! | Large-small numbers | ||
! | Generator range | ! | Generator range | ||
! | Boundaries of propriety, maximum expressiveness, diatonicity | ! | Boundaries of propriety, maximum expressiveness, diatonicity | ||
! | Large step+Small step | ! | Large step+Small step | ||
| Line 1,753: | Line 1,479: | ||
| | 1L23s | | | 1L23s | ||
| | 23\24 < g < 1 | | | 23\24 < g < 1 | ||
| | ''g = 24\25, 25\26, 26\27'' | | | ''g = 24\25, 25\26, 26\27'' | ||
| | 23g-22+1-g = 22g-21 | | | 23g-22+1-g = 22g-21 | ||
| Line 1,759: | Line 1,484: | ||
| | 2L22s | | | 2L22s | ||
| | 11\24 < g < 1\2 | | | 11\24 < g < 1\2 | ||
| | g = ''12\26, 13\28, 14\30'' | | | g = ''12\26, 13\28, 14\30'' | ||
| | 11g-5+1/2-g = 10g-9/2 | | | 11g-5+1/2-g = 10g-9/2 | ||
| Line 1,765: | Line 1,489: | ||
| | 3L21s | | | 3L21s | ||
| | 7\24 < g < 1\3 | | | 7\24 < g < 1\3 | ||
| | g = ''8\27, 9\30'', 10\33 | | | g = ''8\27, 9\30'', 10\33 | ||
| | 7g-2+1/3-g = 6g-5/3 | | | 7g-2+1/3-g = 6g-5/3 | ||
| Line 1,771: | Line 1,494: | ||
| | 4L20s | | | 4L20s | ||
| | 5\24 < g < 1\4 | | | 5\24 < g < 1\4 | ||
| | g = ''6\28'', 7\32, 8\36 | | | g = ''6\28'', 7\32, 8\36 | ||
| | 5g-1+1/4-g = 4g-3/4 | | | 5g-1+1/4-g = 4g-3/4 | ||
| Line 1,777: | Line 1,499: | ||
| | 5L19s | | | 5L19s | ||
| | 19\24 < g < 4\5 | | | 19\24 < g < 4\5 | ||
| | g = ''23\29'', 27\34, 31\39 | | | g = ''23\29'', 27\34, 31\39 | ||
| | 19g-15+4-5g = 14g-11 | | | 19g-15+4-5g = 14g-11 | ||
| Line 1,783: | Line 1,504: | ||
| | 6L18s | | | 6L18s | ||
| | 3\24 < g < 1\6 | | | 3\24 < g < 1\6 | ||
| | g = ''4\30'', 5\36, 6\42 | | | g = ''4\30'', 5\36, 6\42 | ||
| | 3g-1\3+1\6-g = 2g-1\6 | | | 3g-1\3+1\6-g = 2g-1\6 | ||
| Line 1,789: | Line 1,509: | ||
| | 7L17s | | | 7L17s | ||
| | 17\24 < g < 5\7 | | | 17\24 < g < 5\7 | ||
| | g = 22\31, 27\38, 32\45 | | | g = 22\31, 27\38, 32\45 | ||
| | 17g-12+5-7g = 10g-7 | | | 17g-12+5-7g = 10g-7 | ||
| Line 1,795: | Line 1,514: | ||
| | 8L16s | | | 8L16s | ||
| | 2\24 < g < 1\8 | | | 2\24 < g < 1\8 | ||
| | g = 3\32, 4\40, 5\48 | | | g = 3\32, 4\40, 5\48 | ||
| | 2g-1\8+1\8-g = g | | | 2g-1\8+1\8-g = g | ||
| Line 1,801: | Line 1,519: | ||
| | 9L15s | | | 9L15s | ||
| | 5\24 < g < 2\9 | | | 5\24 < g < 2\9 | ||
| | g = 7\33, 9\42, 11\51 | | | g = 7\33, 9\42, 11\51 | ||
| | 5g-1+2\3-3g = 2g-1\3 | | | 5g-1+2\3-3g = 2g-1\3 | ||
| Line 1,807: | Line 1,524: | ||
| | 10L14s | | | 10L14s | ||
| | 7\24 < g < 3\10 | | | 7\24 < g < 3\10 | ||
| | g = 10\34, 13\44, 16\54 | | | g = 10\34, 13\44, 16\54 | ||
| | 7g-2+3\2-5g = 2g-1\2 | | | 7g-2+3\2-5g = 2g-1\2 | ||
| Line 1,813: | Line 1,529: | ||
| | 11L13s | | | 11L13s | ||
| | 13\24 < g < 6\11 | | | 13\24 < g < 6\11 | ||
| | g = 19\35, 25\46, 31\57 | | | g = 19\35, 25\46, 31\57 | ||
| | 13g-7+6-11g = 2g-1 | | | 13g-7+6-11g = 2g-1 | ||
| Line 1,819: | Line 1,534: | ||
| | 12L12s | | | 12L12s | ||
| | 1\24 < g < 1\12 | | | 1\24 < g < 1\12 | ||
| | g = 2\36, 3\48, 4\60 | | | g = 2\36, 3\48, 4\60 | ||
| | g+1\12-g = 1\12 | | | g+1\12-g = 1\12 | ||
| Line 1,825: | Line 1,539: | ||
| | 13L11s | | | 13L11s | ||
| | 11\24 < g < 6\13 | | | 11\24 < g < 6\13 | ||
| | g = 17\37, 23\50, 29\63 | | | g = 17\37, 23\50, 29\63 | ||
| | 11g-5+6-13g = 1-2g | | | 11g-5+6-13g = 1-2g | ||
| Line 1,831: | Line 1,544: | ||
| | 14L10s | | | 14L10s | ||
| | 17\24 < g < 10\14 | | | 17\24 < g < 10\14 | ||
| | g = 27\38, 37\52, 47\66 | | | g = 27\38, 37\52, 47\66 | ||
| | 5g-7\2+5-7g = 3\2-2g | | | 5g-7\2+5-7g = 3\2-2g | ||
| Line 1,837: | Line 1,549: | ||
| | 15L9s | | | 15L9s | ||
| | 3\24 < g < 2\15 | | | 3\24 < g < 2\15 | ||
| | g = 5\39, 7\54, 9\69 | | | g = 5\39, 7\54, 9\69 | ||
| | 3g-1\3+2\3-5g = 1\3-2g | | | 3g-1\3+2\3-5g = 1\3-2g | ||
| Line 1,843: | Line 1,554: | ||
| | 16L8s | | | 16L8s | ||
| | 1\24 < g < 1\16 | | | 1\24 < g < 1\16 | ||
| | g = 2\40, 3\56, 4\72 | | | g = 2\40, 3\56, 4\72 | ||
| | g+1\8-2g = 1\8-g | | | g+1\8-2g = 1\8-g | ||
| Line 1,849: | Line 1,559: | ||
| | 17L7s | | | 17L7s | ||
| | 7\24 < g < 5\17 | | | 7\24 < g < 5\17 | ||
| | g = 12\41, 17\58, 22\75 | | | g = 12\41, 17\58, 22\75 | ||
| | 7g-2+5-17g = 3-10g | | | 7g-2+5-17g = 3-10g | ||
| Line 1,855: | Line 1,564: | ||
| | 18L6s | | | 18L6s | ||
| | 1\24 < g < 1\18 | | | 1\24 < g < 1\18 | ||
| | g = 2\42, 3\60, 4\78 | | | g = 2\42, 3\60, 4\78 | ||
| | g+1\6-3g = 1\6-2g | | | g+1\6-3g = 1\6-2g | ||
| Line 1,861: | Line 1,569: | ||
| | 19L5s | | | 19L5s | ||
| | 5\24 < g < 4\19 | | | 5\24 < g < 4\19 | ||
| | g = 9\43, 13\62, 17\81 | | | g = 9\43, 13\62, 17\81 | ||
| | 5g-5+4-19g = 1-18g | | | 5g-5+4-19g = 1-18g | ||
| Line 1,867: | Line 1,574: | ||
| | 20L4s | | | 20L4s | ||
| | 1\24 < g < 1\20 | | | 1\24 < g < 1\20 | ||
| | g = 2\44, 3\64, 4\84 | | | g = 2\44, 3\64, 4\84 | ||
| | g+1\4-5g = 1\4-4g | | | g+1\4-5g = 1\4-4g | ||
| Line 1,873: | Line 1,579: | ||
| | 21L3s | | | 21L3s | ||
| | 1\24 < g < 1\21 | | | 1\24 < g < 1\21 | ||
| | g = 2\45, 3\66, 4\87 | | | g = 2\45, 3\66, 4\87 | ||
| | g+1\3-7g = 1\3-6g | | | g+1\3-7g = 1\3-6g | ||
| Line 1,879: | Line 1,584: | ||
| | 22L2s | | | 22L2s | ||
| | 1\24 < g < 1\22 | | | 1\24 < g < 1\22 | ||
| | g = 2\46, 3\68, 4\90 | | | g = 2\46, 3\68, 4\90 | ||
| | g+1\2-11g = 1\2-10g | | | g+1\2-11g = 1\2-10g | ||
| Line 1,885: | Line 1,589: | ||
| | 23L1s | | | 23L1s | ||
| | 1\24 < g < 1\23 | | | 1\24 < g < 1\23 | ||
| | g = 2\47, 3\70, 4\93 | | | g = 2\47, 3\70, 4\93 | ||
| | g+1-23g = 1-22g | | | g+1-23g = 1-22g | ||
| Line 1,896: | Line 1,599: | ||
! | Large-small numbers | ! | Large-small numbers | ||
! | Generator range | ! | Generator range | ||
! | Boundaries of propriety, maximum expressiveness, diatonicity | ! | Boundaries of propriety, maximum expressiveness, diatonicity | ||
! | Large step+Small step | ! | Large step+Small step | ||
| Line 1,902: | Line 1,604: | ||
| | 1L24s | | | 1L24s | ||
| | 24\25 < g < 1 | | | 24\25 < g < 1 | ||
| | ''g = 25\26, 26\27, 27\28'' | | | ''g = 25\26, 26\27, 27\28'' | ||
| | 24g-23+1-g = 23g-22 | | | 24g-23+1-g = 23g-22 | ||
| Line 1,908: | Line 1,609: | ||
| | 2L23s | | | 2L23s | ||
| | 12\25 < g < 1\2 | | | 12\25 < g < 1\2 | ||
| | ''g = 13\27, 14\29, 15\31'' | | | ''g = 13\27, 14\29, 15\31'' | ||
| | 23g-11+1-2g = 21g-10 | | | 23g-11+1-2g = 21g-10 | ||
| Line 1,914: | Line 1,614: | ||
| | 3L22s | | | 3L22s | ||
| | 8\25 < g < 1\3 | | | 8\25 < g < 1\3 | ||
| | g = ''9\28'', ''10\31'', 11\34 | | | g = ''9\28'', ''10\31'', 11\34 | ||
| | 22g-7+1-3g = 19g-6 | | | 22g-7+1-3g = 19g-6 | ||
| Line 1,920: | Line 1,619: | ||
| | 4L21s | | | 4L21s | ||
| | 6\25 < g < 1\4 | | | 6\25 < g < 1\4 | ||
| | g = ''7\29'', 8\33, 9\37 | | | g = ''7\29'', 8\33, 9\37 | ||
| | 21g-5+1-4g = 17g-4 | | | 21g-5+1-4g = 17g-4 | ||
| Line 1,926: | Line 1,624: | ||
| | 5L20s | | | 5L20s | ||
| | 4\25 < g < 1\5 | | | 4\25 < g < 1\5 | ||
| | g = ''5\30'', 6\35, 7\40 | | | g = ''5\30'', 6\35, 7\40 | ||
| | 4g-3\5+1\5-g = 3g-2\5 | | | 4g-3\5+1\5-g = 3g-2\5 | ||
| Line 1,932: | Line 1,629: | ||
| | 6L19s | | | 6L19s | ||
| | 4\25 < g < 1\6 | | | 4\25 < g < 1\6 | ||
| | g = ''5\31'', 6\37, 7\43 | | | g = ''5\31'', 6\37, 7\43 | ||
| | 19g-3+1-6g = 13g-2 | | | 19g-3+1-6g = 13g-2 | ||
| Line 1,938: | Line 1,634: | ||
| | 7L18s | | | 7L18s | ||
| | 7\25 < g < 2\7 | | | 7\25 < g < 2\7 | ||
| | g = 9\32, 11\39, 13\46 | | | g = 9\32, 11\39, 13\46 | ||
| | 18g-5+2-7g = 11g-3 | | | 18g-5+2-7g = 11g-3 | ||
| Line 1,944: | Line 1,639: | ||
| | 8L17s | | | 8L17s | ||
| | 3\25 < g < 1\8 | | | 3\25 < g < 1\8 | ||
| | g = 4\33, 5\41, 6\47 | | | g = 4\33, 5\41, 6\47 | ||
| | <span style="line-height: 15.6000003814697px;">17g-2+1-8g = 9g-1</span> | | | <span style="line-height: 15.6000003814697px;">17g-2+1-8g = 9g-1</span> | ||
| Line 1,950: | Line 1,644: | ||
| | 9L16s | | | 9L16s | ||
| | 11\25 < g < 4\9 | | | 11\25 < g < 4\9 | ||
| | g = 15\34, 19\43, 23\52 | | | g = 15\34, 19\43, 23\52 | ||
| | 16g-7<span style="line-height: 15.6000003814697px;">+4-9g = 3-7g</span> | | | 16g-7<span style="line-height: 15.6000003814697px;">+4-9g = 3-7g</span> | ||
| Line 1,956: | Line 1,649: | ||
| | 10L15s | | | 10L15s | ||
| | 2\25 < g < 1\10 | | | 2\25 < g < 1\10 | ||
| | g = 3\35, 4\45, 5\55 | | | g = 3\35, 4\45, 5\55 | ||
| | 3g-1\5+1\5-2g = g | | | 3g-1\5+1\5-2g = g | ||
| Line 1,962: | Line 1,654: | ||
| | 11L14s | | | 11L14s | ||
| | 9\25 < g < 4\11 | | | 9\25 < g < 4\11 | ||
| | g = 13\36, 17\47, 21\58 | | | g = 13\36, 17\47, 21\58 | ||
| | 14g-5+4-11g = 3g-1 | | | 14g-5+4-11g = 3g-1 | ||
| Line 1,968: | Line 1,659: | ||
| | 12L13s | | | 12L13s | ||
| | 2\25 < g < 1\12 | | | 2\25 < g < 1\12 | ||
| | g = 3\37, 4\49, 5\61 | | | g = 3\37, 4\49, 5\61 | ||
| | 13g-1+1-12g = g | | | 13g-1+1-12g = g | ||
| Line 1,974: | Line 1,664: | ||
| | 13L12s | | | 13L12s | ||
| | 23\25 < g < 12\13 | | | 23\25 < g < 12\13 | ||
| | g = 35\38, 47\51, 59\64 | | | g = 35\38, 47\51, 59\64 | ||
| | 12g-11+12-13g = 1-g | | | 12g-11+12-13g = 1-g | ||
| Line 1,980: | Line 1,669: | ||
| | 14L11s | | | 14L11s | ||
| | 16\25 < g < 9\14 | | | 16\25 < g < 9\14 | ||
| | g = 25\39, 34\53, 43\67 | | | g = 25\39, 34\53, 43\67 | ||
| | 11g-7+9-14g = 2-3g | | | 11g-7+9-14g = 2-3g | ||
| Line 1,986: | Line 1,674: | ||
| | 15L10s | | | 15L10s | ||
| | 3\25 < g < 2\15 | | | 3\25 < g < 2\15 | ||
| | g = 5\40, 7\55, 9\70 | | | g = 5\40, 7\55, 9\70 | ||
| | 2g-1\5+2\5-3g = 1\5-g | | | 2g-1\5+2\5-3g = 1\5-g | ||
| Line 1,992: | Line 1,679: | ||
| | 16L9s | | | 16L9s | ||
| | 14\25 < g < 9\16 | | | 14\25 < g < 9\16 | ||
| | g = 23\41, 32\57, 41\73 | | | g = 23\41, 32\57, 41\73 | ||
| | 9g-5+9-16g = 4-7g | | | 9g-5+9-16g = 4-7g | ||
| Line 1,998: | Line 1,684: | ||
| | 17L8s | | | 17L8s | ||
| | 22\25 < g < 15\17 | | | 22\25 < g < 15\17 | ||
| | g = 37\42, 52\59, 67\76 | | | g = 37\42, 52\59, 67\76 | ||
| | 8g-7+15-17g = 8-9g | | | 8g-7+15-17g = 8-9g | ||
| Line 2,004: | Line 1,689: | ||
| | 18L7s | | | 18L7s | ||
| | 18\25 < g < 13\18 | | | 18\25 < g < 13\18 | ||
| | g = 31\43, 44\61, 57\79 | | | g = 31\43, 44\61, 57\79 | ||
| | 7g-5+13-18g = 8-11g | | | 7g-5+13-18g = 8-11g | ||
| Line 2,010: | Line 1,694: | ||
| | 19L6s | | | 19L6s | ||
| | 21\25 < g < 16\19 | | | 21\25 < g < 16\19 | ||
| | g = 37\44, 53\63, 69\82 | | | g = 37\44, 53\63, 69\82 | ||
| | 6g-5+16-19g = 11-13g | | | 6g-5+16-19g = 11-13g | ||
| Line 2,016: | Line 1,699: | ||
| | 20L5s | | | 20L5s | ||
| | 1\25 < g < 1\20 | | | 1\25 < g < 1\20 | ||
| | g = 2\45, 3\65, 4\85 | | | g = 2\45, 3\65, 4\85 | ||
| | g+1\5-4g = 1\5-3g | | | g+1\5-4g = 1\5-3g | ||
| Line 2,022: | Line 1,704: | ||
| | 21L4s | | | 21L4s | ||
| | 16\21 < g < 19\25 | | | 16\21 < g < 19\25 | ||
| | g = 35\46, 51\67, 71\88 | | | g = 35\46, 51\67, 71\88 | ||
| | 4g-3+16-21g = 13-17g | | | 4g-3+16-21g = 13-17g | ||
| Line 2,028: | Line 1,709: | ||
| | 22L3s | | | 22L3s | ||
| | 17\25 < g < 15\22 | | | 17\25 < g < 15\22 | ||
| | g = 32\47, 47\69, 62\91 | | | g = 32\47, 47\69, 62\91 | ||
| | 3g-2+15-22g = 13-19g | | | 3g-2+15-22g = 13-19g | ||
| Line 2,034: | Line 1,714: | ||
| | 23L2s | | | 23L2s | ||
| | 13\25 < g < 12\23 | | | 13\25 < g < 12\23 | ||
| | g = 25\48, 37\71, 49\94 | | | g = 25\48, 37\71, 49\94 | ||
| | 2g-1+11-23g = 10-21g | | | 2g-1+11-23g = 10-21g | ||
| Line 2,040: | Line 1,719: | ||
| | 24L1s | | | 24L1s | ||
| | 1\25 < g < 1\24 | | | 1\25 < g < 1\24 | ||
| | g = 2\49, 3\73, 4\97 | | | g = 2\49, 3\73, 4\97 | ||
| | g+1-24g = 1-23g | | | g+1-24g = 1-23g | ||
| Line 2,051: | Line 1,729: | ||
! | Large-small numbers | ! | Large-small numbers | ||
! | Generator range | ! | Generator range | ||
! | Boundaries of propriety, maximum expressiveness, diatonicity | ! | Boundaries of propriety, maximum expressiveness, diatonicity | ||
! | Large step+Small step | ! | Large step+Small step | ||
| Line 2,057: | Line 1,734: | ||
| | 1L25s | | | 1L25s | ||
| | 25\26 < g < 1 | | | 25\26 < g < 1 | ||
| | ''g = 26\27, 27\28, 28\29'' | | | ''g = 26\27, 27\28, 28\29'' | ||
| | 25g-24+1-g = 24g-23 | | | 25g-24+1-g = 24g-23 | ||
| Line 2,063: | Line 1,739: | ||
| | 2L24s | | | 2L24s | ||
| | 12\26 < g < 1\2 | | | 12\26 < g < 1\2 | ||
| | ''g = 13\28, 14\30, 15\32'' | | | ''g = 13\28, 14\30, 15\32'' | ||
| | 12g-11\2+1\2-g = 11g-5 | | | 12g-11\2+1\2-g = 11g-5 | ||
| Line 2,069: | Line 1,744: | ||
| | 3L23s | | | 3L23s | ||
| | 17\26 < g < 2\3 | | | 17\26 < g < 2\3 | ||
| | g = ''19\29'', ''21\32'', 23\35 | | | g = ''19\29'', ''21\32'', 23\35 | ||
| | 23g-15+2-3g = 20g-13 | | | 23g-15+2-3g = 20g-13 | ||
| Line 2,075: | Line 1,749: | ||
| | 4L22s | | | 4L22s | ||
| | 6\26 < g < 1\4 | | | 6\26 < g < 1\4 | ||
| | g = ''7\30'', 8\34, 9\38 | | | g = ''7\30'', 8\34, 9\38 | ||
| | 11g-5\2+<span style="line-height: 15.6000003814697px;">1\2-2g = 9g-2</span> | | | 11g-5\2+<span style="line-height: 15.6000003814697px;">1\2-2g = 9g-2</span> | ||
| Line 2,081: | Line 1,754: | ||
| | 5L21s | | | 5L21s | ||
| | 5\26 < g < 1\5 | | | 5\26 < g < 1\5 | ||
| | g = ''6\31'', 7\36, 8\41 | | | g = ''6\31'', 7\36, 8\41 | ||
| | 21g-4+1-5g = 16g-3 | | | 21g-4+1-5g = 16g-3 | ||
| Line 2,087: | Line 1,759: | ||
| | 6L20s | | | 6L20s | ||
| | 4\26 < g < 1\6 | | | 4\26 < g < 1\6 | ||
| | g = ''5\32'', 6\38, 7\44 | | | g = ''5\32'', 6\38, 7\44 | ||
| | 10g-3\2+1\2-3g = 7g-1 | | | 10g-3\2+1\2-3g = 7g-1 | ||
| Line 2,093: | Line 1,764: | ||
| | 7L19s | | | 7L19s | ||
| | 11\26 < g < 3\7 | | | 11\26 < g < 3\7 | ||
| | g = 14\33, 17\40, 20\47 | | | g = 14\33, 17\40, 20\47 | ||
| | 19g-8+3-7g = 12g-5 | | | 19g-8+3-7g = 12g-5 | ||
| Line 2,099: | Line 1,769: | ||
| | 8L18s | | | 8L18s | ||
| | 3\26 < g < 1\8 | | | 3\26 < g < 1\8 | ||
| | g = 4\34, 5\42, 6\50 | | | g = 4\34, 5\42, 6\50 | ||
| | 9g-1+1\2-4g = 5g-1\2 | | | 9g-1+1\2-4g = 5g-1\2 | ||
| Line 2,105: | Line 1,774: | ||
| | 9L17s | | | 9L17s | ||
| | 23\26 < g < 8\9 | | | 23\26 < g < 8\9 | ||
| | g = 31\35, 39\44, 47\53 | | | g = 31\35, 39\44, 47\53 | ||
| | 17g-15+8-9g = 8g-7 | | | 17g-15+8-9g = 8g-7 | ||
| Line 2,111: | Line 1,779: | ||
| | 10L16s | | | 10L16s | ||
| | 5\26 < g < 2\10 | | | 5\26 < g < 2\10 | ||
| | g = 7\36, 9\46, 11\56 | | | g = 7\36, 9\46, 11\56 | ||
| | 8g-3\2+1-5g = 3g-1\2 | | | 8g-3\2+1-5g = 3g-1\2 | ||
| Line 2,117: | Line 1,784: | ||
| | 11L15s | | | 11L15s | ||
| | 7\26 < g < 3\11 | | | 7\26 < g < 3\11 | ||
| | g = 10\37, 13\48, 16\59 | | | g = 10\37, 13\48, 16\59 | ||
| | 15g-4+3-11g = 4g-1 | | | 15g-4+3-11g = 4g-1 | ||
| Line 2,123: | Line 1,789: | ||
| | 12L14s | | | 12L14s | ||
| | 2\26 < g < 1\12 | | | 2\26 < g < 1\12 | ||
| | g = 3\38, 4\50, 5\62 | | | g = 3\38, 4\50, 5\62 | ||
| | 7g-1\2+1\2-6g = g | | | 7g-1\2+1\2-6g = g | ||
| Line 2,129: | Line 1,794: | ||
| | 13L13s | | | 13L13s | ||
| | 1\26 < g < 1\13 | | | 1\26 < g < 1\13 | ||
| | g = 2\39, 3\52, 4\65 | | | g = 2\39, 3\52, 4\65 | ||
| | g+1\13-g = 1\13 | | | g+1\13-g = 1\13 | ||
| Line 2,135: | Line 1,799: | ||
| | <span style="line-height: 15.6000003814697px;">14L12s</span> | | | <span style="line-height: 15.6000003814697px;">14L12s</span> | ||
| | 11\26 < g < 6\14 | | | 11\26 < g < 6\14 | ||
| | g = 17\40, 23\54, 29\68 | | | g = 17\40, 23\54, 29\68 | ||
| | 6g-5\2+3-7g = 1\2-g | | | 6g-5\2+3-7g = 1\2-g | ||
| Line 2,141: | Line 1,804: | ||
| | <span style="line-height: 15.6000003814697px;">15L11s</span> | | | <span style="line-height: 15.6000003814697px;">15L11s</span> | ||
| | 19\26 < g < 11\15 | | | 19\26 < g < 11\15 | ||
| | g = 30\41, 41\56, 52\71 | | | g = 30\41, 41\56, 52\71 | ||
| | 11g-8+11-15g = 3-4g | | | 11g-8+11-15g = 3-4g | ||
| Line 2,147: | Line 1,809: | ||
| | <span style="line-height: 15.6000003814697px;">16L10s</span> | | | <span style="line-height: 15.6000003814697px;">16L10s</span> | ||
| | 8\26 < g < 5\16 | | | 8\26 < g < 5\16 | ||
| | g = 13\42, 18\58, 23\74 | | | g = 13\42, 18\58, 23\74 | ||
| | 5g-3\2+5\2-8g = 1-3g | | | 5g-3\2+5\2-8g = 1-3g | ||
| Line 2,153: | Line 1,814: | ||
| | <span style="line-height: 15.6000003814697px;">17L9s</span> | | | <span style="line-height: 15.6000003814697px;">17L9s</span> | ||
| | 3\26 < g < 2\17 | | | 3\26 < g < 2\17 | ||
| | g = 5\43, 7\60, 9\77 | | | g = 5\43, 7\60, 9\77 | ||
| | 9g-1+2-17g = 1-8g | | | 9g-1+2-17g = 1-8g | ||
| Line 2,159: | Line 1,819: | ||
| | <span style="line-height: 15.6000003814697px;">18L</span>8s | | | <span style="line-height: 15.6000003814697px;">18L</span>8s | ||
| | 10\26 < g < 7\18 | | | 10\26 < g < 7\18 | ||
| | g = 17\44, 24\62, 31\80 | | | g = 17\44, 24\62, 31\80 | ||
| | 4g-7\2+7-9g = 7\2-5g | | | 4g-7\2+7-9g = 7\2-5g | ||
| Line 2,165: | Line 1,824: | ||
| | <span style="line-height: 15.6000003814697px;">19L</span>7s | | | <span style="line-height: 15.6000003814697px;">19L</span>7s | ||
| | 15\26 < g < 11\19 | | | 15\26 < g < 11\19 | ||
| | g = 26\45, 37\64, 48\83 | | | g = 26\45, 37\64, 48\83 | ||
| | 7g-4+11-19g = 7-12g | | | 7g-4+11-19g = 7-12g | ||
| Line 2,171: | Line 1,829: | ||
| | <span style="line-height: 15.6000003814697px;">20L</span>6s | | | <span style="line-height: 15.6000003814697px;">20L</span>6s | ||
| | 9\26 < g < 7\20 | | | 9\26 < g < 7\20 | ||
| | g = 16\46, 23\66, 30\86 | | | g = 16\46, 23\66, 30\86 | ||
| | 3g-1+7\2-10g = 5\2-7g | | | 3g-1+7\2-10g = 5\2-7g | ||
| Line 2,177: | Line 1,834: | ||
| | <span style="line-height: 15.6000003814697px;">21L</span>5s | | | <span style="line-height: 15.6000003814697px;">21L</span>5s | ||
| | 21\26 < g < 17\21 | | | 21\26 < g < 17\21 | ||
| | g = 38\47, 55\68, 72\89 | | | g = 38\47, 55\68, 72\89 | ||
| | 5g-4+16-21g = 12-16g | | | 5g-4+16-21g = 12-16g | ||
| Line 2,183: | Line 1,839: | ||
| | <span style="line-height: 15.6000003814697px;">22L</span>4s | | | <span style="line-height: 15.6000003814697px;">22L</span>4s | ||
| | 7\26 < g < 6\22 | | | 7\26 < g < 6\22 | ||
| | g = 13\48, 19\70, 25\92 | | | g = 13\48, 19\70, 25\92 | ||
| | 2g-1\2+3-11g = 5\2-9g | | | 2g-1\2+3-11g = 5\2-9g | ||
| Line 2,189: | Line 1,844: | ||
| | <span style="line-height: 15.6000003814697px;">23L</span>3s | | | <span style="line-height: 15.6000003814697px;">23L</span>3s | ||
| | 9\26 < g < 8\23 | | | 9\26 < g < 8\23 | ||
| | g = 17\49, 25\72, 33/95 | | | g = 17\49, 25\72, 33/95 | ||
| | 3g-1+8-23g = 7-20g | | | 3g-1+8-23g = 7-20g | ||
| Line 2,195: | Line 1,849: | ||
| | <span style="line-height: 15.6000003814697px;">24L</span>2s | | | <span style="line-height: 15.6000003814697px;">24L</span>2s | ||
| | 1\26 < g < 1\24 | | | 1\26 < g < 1\24 | ||
| | g = 2\50, 3\74, 4\98 | | | g = 2\50, 3\74, 4\98 | ||
| | g+1\2-12g = 1\2-11g | | | g+1\2-12g = 1\2-11g | ||
| Line 2,201: | Line 1,854: | ||
| | 25L1s | | | 25L1s | ||
| | 1\26 < g < 1\25 | | | 1\26 < g < 1\25 | ||
| | g = 2\51, 3\76, 4\101 | | | g = 2\51, 3\76, 4\101 | ||
| | g+1-25g = 1-24g | | | g+1-25g = 1-24g | ||
| Line 2,212: | Line 1,864: | ||
! | Large-small numbers | ! | Large-small numbers | ||
! | Generator range | ! | Generator range | ||
! | Boundaries of propriety, maximum expressiveness, diatonicity | ! | Boundaries of propriety, maximum expressiveness, diatonicity | ||
! | Large step+Small step | ! | Large step+Small step | ||
| Line 2,218: | Line 1,869: | ||
| | 1L26s | | | 1L26s | ||
| | 26\27 < g < 1 | | | 26\27 < g < 1 | ||
| | <span style="line-height: 15.6000003814697px;">''g = 27\28,''</span> ''28\29, 29\30'' | | | <span style="line-height: 15.6000003814697px;">''g = 27\28,''</span> ''28\29, 29\30'' | ||
| | 26g-25+1-g = 25g-24 | | | 26g-25+1-g = 25g-24 | ||
| Line 2,224: | Line 1,874: | ||
| | 2L25s | | | 2L25s | ||
| | 13\27 < g < 1\2 | | | 13\27 < g < 1\2 | ||
| | ''g = 14\29, 15\31, 16\33'' | | | ''g = 14\29, 15\31, 16\33'' | ||
| | 25g-12+1-2g = 23g-11 | | | 25g-12+1-2g = 23g-11 | ||
| Line 2,230: | Line 1,879: | ||
| | 3L24s | | | 3L24s | ||
| | 8\27 < g < 1\3 | | | 8\27 < g < 1\3 | ||
| | g = ''9\30'', ''10\33'', 11\36 | | | g = ''9\30'', ''10\33'', 11\36 | ||
| | 8g-7\3+1-3g = 5g-2 | | | 8g-7\3+1-3g = 5g-2 | ||
| Line 2,236: | Line 1,884: | ||
| | 4L23s | | | 4L23s | ||
| | 20\27 < g < 3\4 | | | 20\27 < g < 3\4 | ||
| | g = ''23\31'', 26\35, 29\39 | | | g = ''23\31'', 26\35, 29\39 | ||
| | 23g-17+3-4g = 19g-14 | | | 23g-17+3-4g = 19g-14 | ||
| Line 2,242: | Line 1,889: | ||
| | 5L22s | | | 5L22s | ||
| | 16\27 < g < 3\5 | | | 16\27 < g < 3\5 | ||
| | g = ''19\32'', 22\37, 25\42 | | | g = ''19\32'', 22\37, 25\42 | ||
| | 22g-13+3-5g = 17g-10 | | | 22g-13+3-5g = 17g-10 | ||
| Line 2,248: | Line 1,894: | ||
| | 6L21s | | | 6L21s | ||
| | 4\27 < g < 1\6 | | | 4\27 < g < 1\6 | ||
| | g = ''5\33'', 6\39, 7\45 | | | g = ''5\33'', 6\39, 7\45 | ||
| | 7g-1+1\3-2g = 5g-2\3 | | | 7g-1+1\3-2g = 5g-2\3 | ||
| Line 2,254: | Line 1,899: | ||
| | 7L20s | | | 7L20s | ||
| | 23\27 < g < 6\7 | | | 23\27 < g < 6\7 | ||
| | g = 29\34, 35\41, 41\48 | | | g = 29\34, 35\41, 41\48 | ||
| | 20g-17+6-7g = 13g-11 | | | 20g-17+6-7g = 13g-11 | ||
| Line 2,260: | Line 1,904: | ||
| | 8L19s | | | 8L19s | ||
| | 10\27 < g < 3\8 | | | 10\27 < g < 3\8 | ||
| | g = 13\35, 16\43, 19\51 | | | g = 13\35, 16\43, 19\51 | ||
| | 19g-7+3-8g = 11g-4 | | | 19g-7+3-8g = 11g-4 | ||
| Line 2,266: | Line 1,909: | ||
| | 9L18s | | | 9L18s | ||
| | 2\27 < g < 1\9 | | | 2\27 < g < 1\9 | ||
| | g = 3\36, 4\45, 5\54 | | | g = 3\36, 4\45, 5\54 | ||
| | 2g-1\9+1\9-g = g | | | 2g-1\9+1\9-g = g | ||
| Line 2,272: | Line 1,914: | ||
| | 10L17s | | | 10L17s | ||
| | 8\27 < g < 3\10 | | | 8\27 < g < 3\10 | ||
| | g = 11\37, 14\47, 17\57 | | | g = 11\37, 14\47, 17\57 | ||
| | 17g-5+3-10g = 7g-2 | | | 17g-5+3-10g = 7g-2 | ||
| Line 2,278: | Line 1,919: | ||
| | 11L16s | | | 11L16s | ||
| | 22\27 < g < 9\11 | | | 22\27 < g < 9\11 | ||
| | g = 31\38, 40\49, 49\60 | | | g = 31\38, 40\49, 49\60 | ||
| | 16g-13+9-11g = 5g-4 | | | 16g-13+9-11g = 5g-4 | ||
| Line 2,284: | Line 1,924: | ||
| | 12L15s | | | 12L15s | ||
| | 2\27 < g < 1\12 | | | 2\27 < g < 1\12 | ||
| | g = 3\39, 4\51, 5\63 | | | g = 3\39, 4\51, 5\63 | ||
| | 5g-1\3+1\3-4g = g | | | 5g-1\3+1\3-4g = g | ||
| Line 2,290: | Line 1,929: | ||
| | 13L14s | | | 13L14s | ||
| | 2\27 < g < 1\13 | | | 2\27 < g < 1\13 | ||
| | g = 3\40, 4\53, 5\66 | | | g = 3\40, 4\53, 5\66 | ||
| | 14g-1+1-13g = g | | | 14g-1+1-13g = g | ||
| Line 2,296: | Line 1,934: | ||
| | 14L13s | | | 14L13s | ||
| | 25\27 < g < 13\14 | | | 25\27 < g < 13\14 | ||
| | g = 38\41, 51\55, 64\69 | | | g = 38\41, 51\55, 64\69 | ||
| | 13g-12+13-14g = 1-g | | | 13g-12+13-14g = 1-g | ||
| Line 2,302: | Line 1,939: | ||
| | 15L12s | | | 15L12s | ||
| | 7\27 < g < 4\15 | | | 7\27 < g < 4\15 | ||
| | g = 11\42, 15\57, 19\72 | | | g = 11\42, 15\57, 19\72 | ||
| | 4g-1+4\3-5g = 1\3-g | | | 4g-1+4\3-5g = 1\3-g | ||
| Line 2,308: | Line 1,944: | ||
| | 16L11s | | | 16L11s | ||
| | 5\27 < g < 3\16 | | | 5\27 < g < 3\16 | ||
| | g = 8\43, 11\59, 14\75 | | | g = 8\43, 11\59, 14\75 | ||
| | 11g-2+3-16g = 1-5g | | | 11g-2+3-16g = 1-5g | ||
| Line 2,314: | Line 1,949: | ||
| | 17L10s | | | 17L10s | ||
| | 19\27 < g < 12\17 | | | 19\27 < g < 12\17 | ||
| | g = 31\44, 43\61, 55\78 | | | g = 31\44, 43\61, 55\78 | ||
| | 10g-7+12-17g = 5-7g | | | 10g-7+12-17g = 5-7g | ||
| Line 2,320: | Line 1,954: | ||
| | 18L9s | | | 18L9s | ||
| | 1\27 < g < 1\18 | | | 1\27 < g < 1\18 | ||
| | g = 2\45, 3\63, 4\81 | | | g = 2\45, 3\63, 4\81 | ||
| | g+1\9-2g = 1\9-g | | | g+1\9-2g = 1\9-g | ||
| Line 2,326: | Line 1,959: | ||
| | 19L8s | | | 19L8s | ||
| | 17\27 < g < 12\19 | | | 17\27 < g < 12\19 | ||
| | g = 29\46, 41\65, 53\84 | | | g = 29\46, 41\65, 53\84 | ||
| | 8g-5+12-19g = 7-11g | | | 8g-5+12-19g = 7-11g | ||
| Line 2,332: | Line 1,964: | ||
| | 20L7s | | | 20L7s | ||
| | 4\27 < g < 3\20 | | | 4\27 < g < 3\20 | ||
| | g = 7\47, 10\67, 13\87 | | | g = 7\47, 10\67, 13\87 | ||
| | 7g-1+3-20g = 2-13g | | | 7g-1+3-20g = 2-13g | ||
| Line 2,338: | Line 1,969: | ||
| | 21L6s | | | 21L6s | ||
| | 5\27 < g < 4\21 | | | 5\27 < g < 4\21 | ||
| | g = 9\48, 13\69, 17\90 | | | g = 9\48, 13\69, 17\90 | ||
| | 2g-1\3+4\3-7g = 1-5g | | | 2g-1\3+4\3-7g = 1-5g | ||
| Line 2,344: | Line 1,974: | ||
| | 22L5s | | | 22L5s | ||
| | <span style="line-height: 15.6000003814697px;">11</span>\27 < g < 9\22 | | | <span style="line-height: 15.6000003814697px;">11</span>\27 < g < 9\22 | ||
| | g = 20\49, 29\71, 38\93 | | | g = 20\49, 29\71, 38\93 | ||
| | 5g-2+9-22g = 7-17g | | | 5g-2+9-22g = 7-17g | ||
| Line 2,350: | Line 1,979: | ||
| | 23L4s | | | 23L4s | ||
| | 7\27 < g < 6\23 | | | 7\27 < g < 6\23 | ||
| | g = 13\50, 19\73, 25\96 | | | g = 13\50, 19\73, 25\96 | ||
| | 4g-1+6-23g = 5-19g | | | 4g-1+6-23g = 5-19g | ||
| Line 2,356: | Line 1,984: | ||
| | 24L3s | | | 24L3s | ||
| | 1\27 < g < 1\24 | | | 1\27 < g < 1\24 | ||
| | g = 2\51, 3\75, 4\99 | | | g = 2\51, 3\75, 4\99 | ||
| | g+1\3-8g = 1\3-7g | | | g+1\3-8g = 1\3-7g | ||
| Line 2,362: | Line 1,989: | ||
| | 25L2s | | | 25L2s | ||
| | 14\27 < g < 13\25 | | | 14\27 < g < 13\25 | ||
| | g = 27\52, 40\77, 53\102 | | | g = 27\52, 40\77, 53\102 | ||
| | 2g-1+13-25g = 12-23g | | | 2g-1+13-25g = 12-23g | ||
| Line 2,368: | Line 1,994: | ||
| | 26L1s | | | 26L1s | ||
| | 1\27 < g < 1\26 | | | 1\27 < g < 1\26 | ||
| | g = 2\53, 3\79, 4\105 | | | g = 2\53, 3\79, 4\105 | ||
| | g+1-26g = 1-25g | | | g+1-26g = 1-25g | ||
| Line 2,379: | Line 2,004: | ||
! | Large-small numbers | ! | Large-small numbers | ||
! | Generator range | ! | Generator range | ||
! | Boundaries of propriety, maximum expressiveness, diatonicity | ! | Boundaries of propriety, maximum expressiveness, diatonicity | ||
! | Large step+Small step | ! | Large step+Small step | ||
| Line 2,385: | Line 2,009: | ||
| | 1L27s | | | 1L27s | ||
| | 27\28 < g < 1 | | | 27\28 < g < 1 | ||
| | ''g = 28\29, 29\30, 30\31'' | | | ''g = 28\29, 29\30, 30\31'' | ||
| | 27g-26+1-g = 26g-25 | | | 27g-26+1-g = 26g-25 | ||
| Line 2,391: | Line 2,014: | ||
| | 2L26s | | | 2L26s | ||
| | 13\28 < g < 1\2 | | | 13\28 < g < 1\2 | ||
| | ''g = 14\30, 15\32, 16\34'' | | | ''g = 14\30, 15\32, 16\34'' | ||
| | 13g-6+1\2-g = 12g-11\2 | | | 13g-6+1\2-g = 12g-11\2 | ||
| Line 2,397: | Line 2,019: | ||
| | 3L25s | | | 3L25s | ||
| | 9\28 < g < 1\3 | | | 9\28 < g < 1\3 | ||
| | g = ''10\31'',<span style="line-height: 15.6000003814697px;"> ''11\34'',</span> 12\37 | | | g = ''10\31'',<span style="line-height: 15.6000003814697px;"> ''11\34'',</span> 12\37 | ||
| | 25g-8+1-3g = 22g-7 | | | 25g-8+1-3g = 22g-7 | ||
| Line 2,403: | Line 2,024: | ||
| | 4L24s | | | 4L24s | ||
| | 6\28 < g < 1\4 | | | 6\28 < g < 1\4 | ||
| | g = ''7\32'', 8\36, 9\40 | | | g = ''7\32'', 8\36, 9\40 | ||
| | 6g-5\4+1\4-g = 5g-1 | | | 6g-5\4+1\4-g = 5g-1 | ||
| Line 2,409: | Line 2,029: | ||
| | 5L23s | | | 5L23s | ||
| | 11\28 < g < 2\5 | | | 11\28 < g < 2\5 | ||
| | g = ''13\33'', 15\38, 17\43 | | | g = ''13\33'', 15\38, 17\43 | ||
| | 23g-9+2-5g = 18g-7 | | | 23g-9+2-5g = 18g-7 | ||
| Line 2,415: | Line 2,034: | ||
| | 6L22s | | | 6L22s | ||
| | 9\28 < g < 2\6 | | | 9\28 < g < 2\6 | ||
| | g = ''11\34'', 13\40, 15\46 | | | g = ''11\34'', 13\40, 15\46 | ||
| | 11g-7\2+1-3g = 8g-3 | | | 11g-7\2+1-3g = 8g-3 | ||
| Line 2,421: | Line 2,039: | ||
| | 7L21s | | | 7L21s | ||
| | 3\28 < g < 1\7 | | | 3\28 < g < 1\7 | ||
| | g = 4\35, 5\42, 6\49 | | | g = 4\35, 5\42, 6\49 | ||
| | 3g-2\7+1\7-g = 2g-1\7 | | | 3g-2\7+1\7-g = 2g-1\7 | ||
| Line 2,427: | Line 2,044: | ||
| | 8L20s | | | 8L20s | ||
| | 3\28 < g < 1\8 | | | 3\28 < g < 1\8 | ||
| | g = 4\36, 5\44, 6\52 | | | g = 4\36, 5\44, 6\52 | ||
| | 5g-1\2+1\4-2g = 3g-1\4 | | | 5g-1\2+1\4-2g = 3g-1\4 | ||
| Line 2,433: | Line 2,049: | ||
| | 9L19s | | | 9L19s | ||
| | 3\28 < g < 1\9 | | | 3\28 < g < 1\9 | ||
| | g = 4\37, 5\46, 6\55 | | | g = 4\37, 5\46, 6\55 | ||
| | 19g-2+1-9g = 10g-1 | | | 19g-2+1-9g = 10g-1 | ||
| Line 2,439: | Line 2,054: | ||
| | 10L18s | | | 10L18s | ||
| | 11\28 < g < 4\10 | | | 11\28 < g < 4\10 | ||
| | g = 15\38, 19\48, 23\58 | | | g = 15\38, 19\48, 23\58 | ||
| | 9g-7\2+2-5g = 4g-3\2 | | | 9g-7\2+2-5g = 4g-3\2 | ||
| Line 2,445: | Line 2,059: | ||
| | 11L17s | | | 11L17s | ||
| | 5\28 < g < 2\11 | | | 5\28 < g < 2\11 | ||
| | g = 7\39, 9\50, 11\61 | | | g = 7\39, 9\50, 11\61 | ||
| | 17g-3+2-11g = 6g-1 | | | 17g-3+2-11g = 6g-1 | ||
| Line 2,451: | Line 2,064: | ||
| | 12L16s | | | 12L16s | ||
| | 2\28 < g < 1\12 | | | 2\28 < g < 1\12 | ||
| | g = 3\40, 4\52, 5\64 | | | g = 3\40, 4\52, 5\64 | ||
| | 4g-1\4+1\4-3g = g | | | 4g-1\4+1\4-3g = g | ||
| Line 2,457: | Line 2,069: | ||
| | 13L15s | | | 13L15s | ||
| | 15\28 < g < 7\13 | | | 15\28 < g < 7\13 | ||
| | g = 22\41, 29\54, 36\67 | | | g = 22\41, 29\54, 36\67 | ||
| | 15g-8+7-13g = 2g-1 | | | 15g-8+7-13g = 2g-1 | ||
| Line 2,463: | Line 2,074: | ||
| | 14L14s | | | 14L14s | ||
| | 1\28 < g < 1\14 | | | 1\28 < g < 1\14 | ||
| | g = 2\42, 3\56, 4\70 | | | g = 2\42, 3\56, 4\70 | ||
| | g+1\14-g = 1\14 | | | g+1\14-g = 1\14 | ||
| Line 2,469: | Line 2,079: | ||
| | <span style="line-height: 15.6000003814697px;">15L13s</span> | | | <span style="line-height: 15.6000003814697px;">15L13s</span> | ||
| | 13\28 < g < 7\15 | | | 13\28 < g < 7\15 | ||
| | g = 20\43, 27\58, 34\73 | | | g = 20\43, 27\58, 34\73 | ||
| | 13g-6+7-15g = 1-2g | | | 13g-6+7-15g = 1-2g | ||
| Line 2,475: | Line 2,084: | ||
| | <span style="line-height: 15.6000003814697px;">16L12s</span> | | | <span style="line-height: 15.6000003814697px;">16L12s</span> | ||
| | 5\28 < g < 3\16 | | | 5\28 < g < 3\16 | ||
| | g = 8\44, 11\60, 14\76 | | | g = 8\44, 11\60, 14\76 | ||
| | 3g-1\2+3\4-4g = 1\4-g | | | 3g-1\2+3\4-4g = 1\4-g | ||
| Line 2,481: | Line 2,089: | ||
| | <span style="line-height: 15.6000003814697px;">17L11s</span> | | | <span style="line-height: 15.6000003814697px;">17L11s</span> | ||
| | 23\28 < g < 14\17 | | | 23\28 < g < 14\17 | ||
| | g = 37\45, 51\62, 65\79 | | | g = 37\45, 51\62, 65\79 | ||
| | 11g-9+13-17g = 4-6g | | | 11g-9+13-17g = 4-6g | ||
| Line 2,487: | Line 2,094: | ||
| | <span style="line-height: 15.6000003814697px;">18L10s</span> | | | <span style="line-height: 15.6000003814697px;">18L10s</span> | ||
| | 3\28 < g < 2\18 | | | 3\28 < g < 2\18 | ||
| | g = 5\46, 7\64, 9\82 | | | g = 5\46, 7\64, 9\82 | ||
| | 5g-1\2+1-9g = 1\2-4g | | | 5g-1\2+1-9g = 1\2-4g | ||
| Line 2,493: | Line 2,099: | ||
| | <span style="line-height: 15.6000003814697px;">19L9s</span> | | | <span style="line-height: 15.6000003814697px;">19L9s</span> | ||
| | 25\28 < g < 17\19 | | | 25\28 < g < 17\19 | ||
| | g = 42\47, 59\66, 76\85 | | | g = 42\47, 59\66, 76\85 | ||
| | 9g-8+17-19g = 9-10g | | | 9g-8+17-19g = 9-10g | ||
| Line 2,499: | Line 2,104: | ||
| | <span style="line-height: 15.6000003814697px;">20L</span>8s | | | <span style="line-height: 15.6000003814697px;">20L</span>8s | ||
| | 4\28 < g < 3\20 | | | 4\28 < g < 3\20 | ||
| | g = 7\48, 10\68, 13\88 | | | g = 7\48, 10\68, 13\88 | ||
| | 2g-1\4+3\4-5g = 1\2-3g | | | 2g-1\4+3\4-5g = 1\2-3g | ||
| Line 2,505: | Line 2,109: | ||
| | <span style="line-height: 15.6000003814697px;">21L7s</span> | | | <span style="line-height: 15.6000003814697px;">21L7s</span> | ||
| | 1\28 < g < 1\21 | | | 1\28 < g < 1\21 | ||
| | g = 2\49, 3\70, 4\91 | | | g = 2\49, 3\70, 4\91 | ||
| | g+<span style="line-height: 15.6000003814697px;">1\7-2g = 1\7-g</span> | | | g+<span style="line-height: 15.6000003814697px;">1\7-2g = 1\7-g</span> | ||
| Line 2,511: | Line 2,114: | ||
| | <span style="line-height: 15.6000003814697px;">22L</span>6s | | | <span style="line-height: 15.6000003814697px;">22L</span>6s | ||
| | 5\28 < g < 4\22 | | | 5\28 < g < 4\22 | ||
| | g = 9\50, 13\72, 17\94 | | | g = 9\50, 13\72, 17\94 | ||
| | 3g-1\2+2-11g = 3\2-8g | | | 3g-1\2+2-11g = 3\2-8g | ||
| Line 2,517: | Line 2,119: | ||
| | <span style="line-height: 15.6000003814697px;">23L</span>5s | | | <span style="line-height: 15.6000003814697px;">23L</span>5s | ||
| | 17\28 < g < 14\23 | | | 17\28 < g < 14\23 | ||
| | g = 31\51, 45\74, 59\97 | | | g = 31\51, 45\74, 59\97 | ||
| | 5g-3+14-23g = 11-18g | | | 5g-3+14-23g = 11-18g | ||
| Line 2,523: | Line 2,124: | ||
| | <span style="line-height: 15.6000003814697px;">24L</span>4s | | | <span style="line-height: 15.6000003814697px;">24L</span>4s | ||
| | 1\28 < g < 1\24 | | | 1\28 < g < 1\24 | ||
| | g = 2\52, 3\76, 4\100 | | | g = 2\52, 3\76, 4\100 | ||
| | g+1\4-6g = 1\4-5g | | | g+1\4-6g = 1\4-5g | ||
| Line 2,529: | Line 2,129: | ||
| | <span style="line-height: 15.6000003814697px;">25L</span>3s | | | <span style="line-height: 15.6000003814697px;">25L</span>3s | ||
| | 19\28 < g < 17\25 | | | 19\28 < g < 17\25 | ||
| | g = 36\53, 53\78, 70\103 | | | g = 36\53, 53\78, 70\103 | ||
| | 3g-2+17-25g = 15+22g | | | 3g-2+17-25g = 15+22g | ||
| Line 2,535: | Line 2,134: | ||
| | <span style="line-height: 15.6000003814697px;">26L</span>2s | | | <span style="line-height: 15.6000003814697px;">26L</span>2s | ||
| | 15\28 < g < 14\26 | | | 15\28 < g < 14\26 | ||
| | g = 29\54, 43\80, 57\106 | | | g = 29\54, 43\80, 57\106 | ||
| | g-1\2+7-13g = 13\2-12g | | | g-1\2+7-13g = 13\2-12g | ||
| Line 2,541: | Line 2,139: | ||
| | 27L1s | | | 27L1s | ||
| | 1\28 < g < 1\27 | | | 1\28 < g < 1\27 | ||
| | g = 2\55, 3\82, 4\109 | | | g = 2\55, 3\82, 4\109 | ||
| | g+1-27g = 1-26g | | | g+1-27g = 1-26g | ||
| Line 2,552: | Line 2,149: | ||
! | Large-small numbers | ! | Large-small numbers | ||
! | Generator range | ! | Generator range | ||
! | Boundaries of propriety, maximum expressiveness, diatonicity | ! | Boundaries of propriety, maximum expressiveness, diatonicity | ||
! | Large step+Small step | ! | Large step+Small step | ||
| Line 2,558: | Line 2,154: | ||
| | 1L28s | | | 1L28s | ||
| | 28\29 < g < 1 | | | 28\29 < g < 1 | ||
| | ''g = 29\30, 30\31, 31\32'' | | | ''g = 29\30, 30\31, 31\32'' | ||
| | 28g-27+1-g = 27g-26 | | | 28g-27+1-g = 27g-26 | ||
| Line 2,564: | Line 2,159: | ||
| | 2L27s | | | 2L27s | ||
| | 14\29 < g < 1\2 | | | 14\29 < g < 1\2 | ||
| | ''g = 15\31, 16\33, 17\35'' | | | ''g = 15\31, 16\33, 17\35'' | ||
| | 27g-13+1-2g = 25g-12 | | | 27g-13+1-2g = 25g-12 | ||
| Line 2,570: | Line 2,164: | ||
| | 3L26s | | | 3L26s | ||
| | 19\29 < g < 2\3 | | | 19\29 < g < 2\3 | ||
| | g = ''21\32'', ''23\35'', 25\38 | | | g = ''21\32'', ''23\35'', 25\38 | ||
| | 26g-17+2-3g = 23g-15 | | | 26g-17+2-3g = 23g-15 | ||
| Line 2,576: | Line 2,169: | ||
| | 4L25s | | | 4L25s | ||
| | 7\29 < g < 1\4 | | | 7\29 < g < 1\4 | ||
| | g = ''8\33'', 9\37, 10\41 | | | g = ''8\33'', 9\37, 10\41 | ||
| | 25g-6+1-4g = 21g-5 | | | 25g-6+1-4g = 21g-5 | ||
| Line 2,582: | Line 2,174: | ||
| | 5L24s | | | 5L24s | ||
| | 23\29 < g < 4\5 | | | 23\29 < g < 4\5 | ||
| | g = ''27\34'', 31\39, 35\44 | | | g = ''27\34'', 31\39, 35\44 | ||
| | 24g-19+4-5g = 19g-15 | | | 24g-19+4-5g = 19g-15 | ||
| Line 2,588: | Line 2,179: | ||
| | 6L23s | | | 6L23s | ||
| | 24\29 < g < 5\6 | | | 24\29 < g < 5\6 | ||
| | g = ''29\35'', 34\41, 39\47 | | | g = ''29\35'', 34\41, 39\47 | ||
| | 23g-19+5-6g = 17g-14 | | | 23g-19+5-6g = 17g-14 | ||
| Line 2,594: | Line 2,184: | ||
| | 7L22s | | | 7L22s | ||
| | 4\29 < g < 1\7 | | | 4\29 < g < 1\7 | ||
| | g = ''5\36'', 6\43, 7\50 | | | g = ''5\36'', 6\43, 7\50 | ||
| | 22g-3+1-7g = 15g-2 | | | 22g-3+1-7g = 15g-2 | ||
| Line 2,600: | Line 2,189: | ||
| | 8L21s | | | 8L21s | ||
| | 18\29 < g < 5\8 | | | 18\29 < g < 5\8 | ||
| | g = 23\37, 28\45, 33\53 | | | g = 23\37, 28\45, 33\53 | ||
| | <span style="line-height: 15.6000003814697px;">21g-13+5-8g = 13g-8</span> | | | <span style="line-height: 15.6000003814697px;">21g-13+5-8g = 13g-8</span> | ||
| Line 2,606: | Line 2,194: | ||
| | 9L20s | | | 9L20s | ||
| | 16\29 < g < 5\9 | | | 16\29 < g < 5\9 | ||
| | g = 21\38, 26\47, 31\56 | | | g = 21\38, 26\47, 31\56 | ||
| | 20g-11+5-9g = 11g-6 | | | 20g-11+5-9g = 11g-6 | ||
| Line 2,612: | Line 2,199: | ||
| | 10L19s | | | 10L19s | ||
| | 26\29 < g < 9\10 | | | 26\29 < g < 9\10 | ||
| | g = 35\39, 44\49, 53\59 | | | g = 35\39, 44\49, 53\59 | ||
| | 19g-17+9-10g = 9g-8 | | | 19g-17+9-10g = 9g-8 | ||
| Line 2,618: | Line 2,204: | ||
| | 11L18s | | | 11L18s | ||
| | 21\29 < g < 8\11 | | | 21\29 < g < 8\11 | ||
| | g = 29\40, 37\51, 45\62 | | | g = 29\40, 37\51, 45\62 | ||
| | 18g-13+8-11g = 7g-2 | | | 18g-13+8-11g = 7g-2 | ||
| Line 2,624: | Line 2,209: | ||
| | 12L17s | | | 12L17s | ||
| | 12\29 < g < 5\12 | | | 12\29 < g < 5\12 | ||
| | g = 17\41, 22\53, 27\65 | | | g = 17\41, 22\53, 27\65 | ||
| | 17g-7+5-12g = 5g-2 | | | 17g-7+5-12g = 5g-2 | ||
| Line 2,630: | Line 2,214: | ||
| | 13L16s | | | 13L16s | ||
| | 20\29 < g < 9\13 | | | 20\29 < g < 9\13 | ||
| | g = 29\42, 38\55, 47\68 | | | g = 29\42, 38\55, 47\68 | ||
| | 16g+11+9-13g = 3g-2 | | | 16g+11+9-13g = 3g-2 | ||
| Line 2,636: | Line 2,219: | ||
| | 14L15s | | | 14L15s | ||
| | 2\29 < g < 1\14 | | | 2\29 < g < 1\14 | ||
| | g = 3\43, 4\57, 5\71 | | | g = 3\43, 4\57, 5\71 | ||
| | 15g-1+1-14g = g | | | 15g-1+1-14g = g | ||
| Line 2,642: | Line 2,224: | ||
| | 15L14s | | | 15L14s | ||
| | 27\29 < g < 14\15 | | | 27\29 < g < 14\15 | ||
| | g = 41\44, 55\59, 69\74 | | | g = 41\44, 55\59, 69\74 | ||
| | 14g-13+14-15g = 1-g | | | 14g-13+14-15g = 1-g | ||
| Line 2,648: | Line 2,229: | ||
| | 16L13s | | | 16L13s | ||
| | 9\29 < g < 5\16 | | | 9\29 < g < 5\16 | ||
| | g = 14\45, 19\61, 24\77 | | | g = 14\45, 19\61, 24\77 | ||
| | 13g-4+5-16g = 1-3g | | | 13g-4+5-16g = 1-3g | ||
| Line 2,654: | Line 2,234: | ||
| | 17L12s | | | 17L12s | ||
| | 17\29 < g < 10\17 | | | 17\29 < g < 10\17 | ||
| | g = 27\46, 37\63, 47\80 | | | g = 27\46, 37\63, 47\80 | ||
| | 12g-5+7-17g = 2-5g | | | 12g-5+7-17g = 2-5g | ||
| Line 2,660: | Line 2,239: | ||
| | 18L11s | | | 18L11s | ||
| | 8\29 < g < 5\18 | | | 8\29 < g < 5\18 | ||
| | g = 13\47, 18\65, 23\83 | | | g = 13\47, 18\65, 23\83 | ||
| | 11g-3+5-18g = 2-7g | | | 11g-3+5-18g = 2-7g | ||
| Line 2,666: | Line 2,244: | ||
| | 19L10s | | | 19L10s | ||
| | 3\29 < g < 2\19 | | | 3\29 < g < 2\19 | ||
| | g = 5\48, 7\67, 9\86 | | | g = 5\48, 7\67, 9\86 | ||
| | 10g-1+2-19g = 1-9g | | | 10g-1+2-19g = 1-9g | ||
| Line 2,672: | Line 2,249: | ||
| | 20L9s | | | 20L9s | ||
| | 13\29 < g < 9\20 | | | 13\29 < g < 9\20 | ||
| | g = 22\49, 31\69, 40\89 | | | g = 22\49, 31\69, 40\89 | ||
| | 9g-5+9-20g = 4-11g | | | 9g-5+9-20g = 4-11g | ||
| Line 2,678: | Line 2,254: | ||
| | 21L8s | | | 21L8s | ||
| | 11\29 < g < 8\21 | | | 11\29 < g < 8\21 | ||
| | g = 19\50, 27\71, 35\92 | | | g = 19\50, 27\71, 35\92 | ||
| | 8g-3+8-21g = 5-13g | | | 8g-3+8-21g = 5-13g | ||
| Line 2,684: | Line 2,259: | ||
| | 22L7s | | | 22L7s | ||
| | 25\29 < g < 19\22 | | | 25\29 < g < 19\22 | ||
| | g = 44\51, 63\73, 82\95 | | | g = 44\51, 63\73, 82\95 | ||
| | 7g-6+9-22g = 3-16g | | | 7g-6+9-22g = 3-16g | ||
| Line 2,690: | Line 2,264: | ||
| | 23L6s | | | 23L6s | ||
| | 5\29 < g < 4\23 | | | 5\29 < g < 4\23 | ||
| | g = 9\52, 13\75, 17\98 | | | g = 9\52, 13\75, 17\98 | ||
| | 6g-1+4-23g = 3-17g | | | 6g-1+4-23g = 3-17g | ||
| Line 2,696: | Line 2,269: | ||
| | 24L5s | | | 24L5s | ||
| | 6\29 < g < 5\24 | | | 6\29 < g < 5\24 | ||
| | g = 11\53, 16\77, 21\101 | | | g = 11\53, 16\77, 21\101 | ||
| | 5g-9+5-24g = 4-19g | | | 5g-9+5-24g = 4-19g | ||
| Line 2,702: | Line 2,274: | ||
| | 25L4s | | | 25L4s | ||
| | 22\29 < g < 19\25 | | | 22\29 < g < 19\25 | ||
| | g = 41\54, 60\79, 79\104 | | | g = 41\54, 60\79, 79\104 | ||
| | 4g-3+19-25g = 16-21g | | | 4g-3+19-25g = 16-21g | ||
| Line 2,708: | Line 2,279: | ||
| | 26L3s | | | 26L3s | ||
| | 10\29 < g < 9\26 | | | 10\29 < g < 9\26 | ||
| | g = 19\55, 28\81, 37\107 | | | g = 19\55, 28\81, 37\107 | ||
| | 3g-1+9-26g = 8-23g | | | 3g-1+9-26g = 8-23g | ||
| Line 2,714: | Line 2,284: | ||
| | 27L2s | | | 27L2s | ||
| | 15\29 < g < 14\27 | | | 15\29 < g < 14\27 | ||
| | g = 29\56, 43\83, 57\110 | | | g = 29\56, 43\83, 57\110 | ||
| | 2g-1+17-27g = 16-25g | | | 2g-1+17-27g = 16-25g | ||
| Line 2,720: | Line 2,289: | ||
| | 28L1s | | | 28L1s | ||
| | 1\29 < g < 1\28 | | | 1\29 < g < 1\28 | ||
| | g = 2\57,<span style="line-height: 15.6000003814697px;"> 3\85,</span> 4\113 | | | g = 2\57,<span style="line-height: 15.6000003814697px;"> 3\85,</span> 4\113 | ||
| | g+1-28g = 1-27g | | | g+1-28g = 1-27g | ||
|} | |} | ||