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A shruti list: Difference between revisions

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Line 214: Line 214:
! | Boundaries of propriety, maximum expressiveness, diatonicity
! | Boundaries of propriety, maximum expressiveness, diatonicity
! | Large step+Small step
! | Large step+Small step
! |
|-
|-
| | [[1L 18s]]
| | [[1L 18s]]
Line 222: Line 221:
| | 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
| |
|-
|-
| | [[2L 17s]]
| | [[2L 17s]]
Line 230: Line 228:
| | 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
| |
|-
|-
| | [[3L 16s]]
| | [[3L 16s]]
Line 237: Line 234:
| | 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
| |
|-
|-
| | [[4L 15s]]
| | [[4L 15s]]
Line 243: Line 239:
| | g = 113\152
| | g = 113\152
| | g = 17\23, 20\27, 23\31
| | g = 17\23, 20\27, 23\31
| | 15g-11
| | 15g-11+3-4g = 11g-8
| | 3-4g
|-
|-
| | [[5L 14s]]
| | [[5L 14s]]
Line 251: Line 246:
| | 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
| |
|-
|-
| | [[6L 13s]]
| | [[6L 13s]]
Line 258: Line 252:
| | 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
| |
|-
|-
| | [[7L 12s]]
| | [[7L 12s]]
Line 264: Line 257:
| | g = 113\266
| | g = 113\266
| | 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
| |
|-
|-
| | [[8L 11s]]
| | [[8L 11s]]
Line 272: Line 264:
| | 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
| |
|-
|-
| | [[9L 10s]]
| | [[9L 10s]]
Line 279: Line 270:
| | g = 3\28, 4\37, 5\46
| | g = 3\28, 4\37, 5\46
| | 10g-1+1-9g = g
| | 10g-1+1-9g = g
| |
|-
|-
| | [[10L 9s]]
| | [[10L 9s]]
Line 286: Line 276:
| | 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
| |
|-
|-
| | [[11L 8s]]
| | [[11L 8s]]
Line 293: Line 282:
| | 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
| |
|-
|-
| | [[12L 7s]]
| | [[12L 7s]]
Line 300: Line 288:
| | 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
| |
|-
|-
| | [[13L 6s]]
| | [[13L 6s]]
Line 307: Line 294:
| | 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
| |
|-
|-
| | [[14L 5s]]
| | [[14L 5s]]
Line 314: Line 300:
| | 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
| |
|-
|-
| | [[15L 4s]]
| | [[15L 4s]]
Line 321: Line 306:
| | 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
| |
|-
|-
| | [[16L 3s]]
| | [[16L 3s]]
Line 328: Line 312:
| | 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
| |
|-
|-
| | [[17L 2s]]
| | [[17L 2s]]
Line 335: Line 318:
| | 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
| |
|-
|-
| | [[18L 1s]]
| | [[18L 1s]]
Line 343: Line 325:
| | 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 355: Line 336:
! | <span style="background-color: #ffffff; color: #000000;">Midpoint</span>
! | <span style="background-color: #ffffff; color: #000000;">Midpoint</span>
! | Boundaries of propriety, maximum expressiveness, diatonicity
! | Boundaries of propriety, maximum expressiveness, diatonicity
! | Large step
! | Large step+Small step
! | Small step
|-
|-
| | [[1L 21s]]
| | [[1L 21s]]
Line 363: Line 343:
| | g = 43\44
| | g = 43\44
| | g = ''22\23,'' ''23\24,'' ''24\25''
| | g = ''22\23,'' ''23\24,'' ''24\25''
| | 21g-20
| | 21g-20+1-g = 20g-19
| | 1-g
|-
|-
| | [[2L 20s]]
| | [[2L 20s]]
Line 371: Line 350:
| | g = 21\44
| | g = 21\44
| | g = ''11\24,'' ''12\26'', 13\28
| | g = ''11\24,'' ''12\26'', 13\28
| | 10g-9\2
| | 10g-9\2+1\2-g = 9g-4
| | 1\2-g
|-
|-
| | [[3L 19s]]
| | [[3L 19s]]
Line 379: Line 357:
| | g = 43\132
| | g = 43\132
| | g = ''8\25'', 9\28, 10\31
| | g = ''8\25'', 9\28, 10\31
| | 19g-6
| | 19g-6+1-3g = 16g-5
| | 1-3g
|-
|-
| | [[4L 18s]]
| | [[4L 18s]]
Line 387: Line 364:
| | g = 21\88
| | g = 21\88
| | g = ''6\26'', 7\30, 8\34
| | g = ''6\26'', 7\30, 8\34
| | 9g-2
| | 9g-2+1\2-2g = 7g-3\2
| | 1\2-2g
|-
|-
| | [[5L 17s]]
| | [[5L 17s]]
Line 395: Line 371:
| | g = 131\220
| | g = 131\220
| | g = 16\27, 19\32, 22\37
| | g = 16\27, 19\32, 22\37
| | 17g-10
| | 17g-10+3-5g = 12g-7
| | 3-5g
|-
|-
| | [[6L 16s]]
| | [[6L 16s]]
Line 403: Line 378:
| | g = 43\132
| | g = 43\132
| | g = 9\28, 11\34, 13\40
| | g = 9\28, 11\34, 13\40
| | 8g-5\2
| | 8g-5\2+1-3g = 5g-2
| | 1-3g
|-
|-
| | [[7L 15s]]
| | [[7L 15s]]
Line 411: Line 385:
| | g = 43\308
| | g = 43\308
| | g = 4\29, 5\36, 6\43
| | g = 4\29, 5\36, 6\43
| | 15g-2
| | 15g-2+1-7g = 8g-1
| | 1-7g
|-
|-
| | [[8L 14s]]
| | [[8L 14s]]
Line 419: Line 392:
| | g = 65\176
| | g = 65\176
| | g = 11\30, 14\38, 17\46
| | g = 11\30, 14\38, 17\46
| | 7g-5\2
| | 7g-5\2+3\2-4g = 3g-2
| | 3\2-4g
|-
|-
| | [[9L 13s]]
| | [[9L 13s]]
Line 427: Line 399:
| | g = 307\396
| | g = 307\396
| | g = 24\31, 31\40, 38\49
| | g = 24\31, 31\40, 38\49
| | 13g-10
| | 13g-10+7-9g = 4g-3
| | 7-9g
|-
|-
| | [[10L 12s]]
| | [[10L 12s]]
Line 435: Line 406:
| | g = 21\220
| | g = 21\220
| | g = 3\32, 4\42, 5\52
| | g = 3\32, 4\42, 5\52
| | 6g-1\2
| | 6g-1\2+1\2-5g = g
| | 1\2-5g
|-
|-
| | [[11L 11s]]
| | [[11L 11s]]
Line 443: Line 413:
| | g = 3\44
| | g = 3\44
| | g = 2\33, 3\44, 4\55
| | g = 2\33, 3\44, 4\55
| | g
| | g + 1\11-g = 1\11
| | 1\11-g
|-
|-
| | [[12L 10s]]
| | [[12L 10s]]
Line 451: Line 420:
| | g = 109\264
| | g = 109\264
| | g = 14\34, 19\46, 24\58
| | g = 14\34, 19\46, 24\58
| | 5g-2
| | 5g-2+5\2-6g = 1\2-g
| | 5\2-6g
|-
|-
| | [[13L 9s]]
| | [[13L 9s]]
Line 459: Line 427:
| | g = 131\572
| | g = 131\572
| | g = 8\35, 11\48, 14\61
| | g = 8\35, 11\48, 14\61
| | 9g-2
| | 9g-2+3-13g = 1-4g
| | 3-13g
|-
|-
| | [[14L 8s]]
| | [[14L 8s]]
Line 467: Line 434:
| | g = 43\308
| | g = 43\308
| | g = 5\36, 7\50, 9\64
| | g = 5\36, 7\50, 9\64
| | 4g-1\2
| | 4g-1\2+1-7g = 1\2-3g
| | 1-7g
|-
|-
| | [[15L 7s]]
| | [[15L 7s]]
Line 475: Line 441:
| | g = 571\660
| | g = 571\660
| | g = 32\37, 45\52, 58\67
| | g = 32\37, 45\52, 58\67
| | 7g-6
| | 7g-6+13-15g = 7-8g
| | 13-15g
|-
|-
| | [[16L 6s]]
| | [[16L 6s]]
Line 483: Line 448:
| | g = 65\352
| | g = 65\352
| | g = 7\38, 10\54, 13\70
| | g = 7\38, 10\54, 13\70
| | 3g-1\2
| | 3g-1\2+3\2-8g = 1-5g
| | 3\2-8g
|-
|-
| | [[17L 5s]]
| | [[17L 5s]]
Line 491: Line 455:
| | g = 207\748
| | g = 207\748
| | g = 16\39, 23\56, 30\73
| | g = 16\39, 23\56, 30\73
| | 5g-2
| | 5g-2+7-17g = 5-12g
| | 7-17g
|-
|-
| | [[18L 4s]]
| | [[18L 4s]]
Line 499: Line 462:
| | g = 109\396
| | g = 109\396
| | g = 11\40, 16\58, 21\76
| | g = 11\40, 16\58, 21\76
| | 2g-1\2
| | 2g-1\2+5\2-9g = 2-7g
| | 5\2-9g
|-
|-
| | [[19L 3s]]
| | [[19L 3s]]
Line 507: Line 469:
| | g = 571\836
| | g = 571\836
| | g = 28\41, 41\60, 54\79
| | g = 28\41, 41\60, 54\79
| | 3g-2
| | 3g-2+13-19g = 11-16g
| | 13-19g
|-
|-
| | [[20L 2s]]
| | [[20L 2s]]
Line 515: Line 476:
| | g = 21\440
| | g = 21\440
| | g = 2\42, 3\62, 4\72
| | g = 2\42, 3\62, 4\72
| | g
| | g+1\2-10g = 1\2-9g
| | 1\2-10g
|-
|-
| | [[21L 1s]]
| | [[21L 1s]]
Line 523: Line 483:
| | g = 43\924
| | g = 43\924
| | g = 2\43, 3\64, 4\85
| | g = 2\43, 3\64, 4\85
| | g
| | g+1-21g = 1-20g
| | 1-21g
|}
|}
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