Scala analysis: CD13_18_Turkey
Suite - Mesut Cemil Bey (kurdili hicazkar, Turkey)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 85.455 cents 85.454678 2: 291.750 cents 291.750425 3: 351.461 cents 351.461089 4: 495.426 cents 495.425930 5: 595.272 cents 595.272475 6: 710.769 cents 710.768541 7: 791.316 cents 791.315996 8: 995.401 cents 995.400905 9: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 204.5991 cents 204.5991 1: 85.4547 cents 85.4547 2: 206.2957 cents 206.2957 3: 59.7107 cents 59.7107 4: 143.9648 cents 143.9648 5: 99.8465 cents 99.8465 6: 115.4961 cents 115.4961 7: 80.5475 cents 80.5475 8: 204.0849 cents 204.0849 9: 204.5991 cents 204.5991
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 59.71066 cents 1: 1 80.54746 cents 1: 1 85.45468 cents 1: 1 99.84655 cents 1: 1 115.49607 cents 1: 1 143.96484 cents 1: 1 204.08491 cents 1: 1 204.59909 cents 1: 1 206.29575 cents 2: 1 196.04352 cents 2: 1 203.67550 cents 2: 1 215.34261 cents 2: 1 243.81139 cents 2: 1 266.00641 cents 2: 1 284.63236 cents 2: 1 290.05377 cents 2: 1 291.75043 cents 2: 1 408.68400 cents 3: 1 295.89007 cents 3: 1 303.52205 cents 3: 1 351.46109 cents 3: 1 359.30745 cents 3: 1 400.12843 cents 3: 1 409.97125 cents 3: 1 489.23146 cents 3: 1 494.13868 cents 3: 1 496.34952 cents 4: 1 419.01812 cents 4: 1 439.85491 cents 4: 1 495.42593 cents 4: 1 499.97498 cents 4: 1 509.81780 cents 4: 1 556.06018 cents 4: 1 574.68614 cents 4: 1 604.72753 cents 4: 1 700.43443 cents 5: 1 499.56557 cents 5: 1 595.27247 cents 5: 1 625.31386 cents 5: 1 643.93982 cents 5: 1 690.18220 cents 5: 1 700.02502 cents 5: 1 704.57407 cents 5: 1 760.14509 cents 5: 1 780.98188 cents 6: 1 703.65048 cents 6: 1 705.86132 cents 6: 1 710.76854 cents 6: 1 790.02875 cents 6: 1 799.87157 cents 6: 1 840.69255 cents 6: 1 848.53891 cents 6: 1 896.47795 cents 6: 1 904.10993 cents 7: 1 791.31600 cents 7: 1 908.24957 cents 7: 1 909.94623 cents 7: 1 915.36764 cents 7: 1 933.99359 cents 7: 1 956.18861 cents 7: 1 984.65739 cents 7: 1 996.32450 cents 7: 1 1003.95648 cents 8: 1 993.70425 cents 8: 1 995.40090 cents 8: 1 995.91509 cents 8: 1 1056.03516 cents 8: 1 1084.50393 cents 8: 1 1100.15345 cents 8: 1 1114.54532 cents 8: 1 1119.45254 cents 8: 1 1140.28934 cents Highest number of different intervals for one interval class: 9 Average number of different intervals per interval class: 9.00000 = 9
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 0.0 : 85.5 291.8 351.5 495.4 595.3 710.8 791.3 995.4 1200.0 85.5 : 206.3 266.0 410.0 509.8 625.3 705.9 909.9 1114.5 1200.0 291.8 : 59.7 203.7 303.5 419.0 499.6 703.7 908.2 993.7 1200.0 351.5 : 144.0 243.8 359.3 439.9 643.9 848.5 934.0 1140.3 1200.0 495.4 : 99.8 215.3 295.9 500.0 704.6 790.0 996.3 1056.0 1200.0 595.3 : 115.5 196.0 400.1 604.7 690.2 896.5 956.2 1100.2 1200.0 710.8 : 80.5 284.6 489.2 574.7 781.0 840.7 984.7 1084.5 1200.0 791.3 : 204.1 408.7 494.1 700.4 760.1 904.1 1004.0 1119.5 1200.0 995.4 : 204.6 290.1 496.3 556.1 700.0 799.9 915.4 995.9 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 59.7107 .. 206.2957 cents 146.58508 cents 59.71066 cents 2: 196.0435 .. 408.6840 cents 212.64048 cents -10.25223 cents 3: 295.8901 .. 496.3495 cents 200.45945 cents -112.79394 cents 4: 419.0181 .. 700.4344 cents 281.41631 cents -77.33140 cents 5: 499.5656 .. 780.9819 cents 281.41631 cents -200.86886 cents 6: 703.6505 .. 904.1099 cents 200.45945 cents -77.33140 cents 7: 791.3160 .. 1003.9565 cents 212.64048 cents -112.79394 cents 8: 993.7043 .. 1140.2893 cents 146.58508 cents -10.25223 cents
SHOW DATA
Number of notes : 9 -- Interval properties -- Smallest interval : 59.71066 cents, class 1 Average step (divided formal octave): 133.3333 cents Largest one step interval : 206.29575 cents Average / Smallest step : 2.232990 Largest / Average step : 1.547218 Largest / Smallest step : 3.454923 Median interval of one step : 115.49607 cents, amount: 1 Least squares average step : 123.67872 cents, oct.: 1113.10848 cents Scale is not proper Step pattern alph. order: ABCDEFGHI Step pattern size order : CIAFDEBGH Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 0.40940 cents Scale diversity : 1.629972 Lumma stability : 0.099518 Lumma impropriety factor : 0.501353 Rothenberg efficiency : 0.222222 redundancy: 0.777778 Efficiency x scale size : 2.000000 Number of different interval sizes : 72 = 9.00000 / class Number of one step interval sizes : 9 Highest interval variety : 9 Mean interval variety : 9.00000 = 9 Median interval variety : 9 Lowest interval variety : 9 Smallest interval difference : 0.40940 cents Number of recognisable fifths : 7, average 702.2137 cents Formal octave complements present : 1 = 11.1111% -- Rational properties --
FIT/MODE
9: 0 2 0 1 1 1 1 1 2 N T3 SD: 61.4068 c. M: 95.4259 c. 10: 1 1 1 1 1 1 1 1 2 P M ME S SD: 29.6522 c. M: 51.7504 c. 12: 1 2 1 1 1 1 1 2 2 N SD: 17.9241 c. M:-48.5389 c. 13: 1 2 1 1 1 2 1 2 2 N D3 S SD: 26.1829 c. M: 41.4263 c. 14: 1 2 1 2 1 1 1 3 2 N SD: 20.4758 c. M: 34.6076 c. 17: 1 3 1 2 1 2 1 3 3 N SD: 13.0943 c. M: 30.5666 c. 18: 1 3 1 2 2 2 1 3 3 N SD: 17.5309 c. M: 28.7593 c. 20: 1 4 1 2 2 2 1 4 3 N SD: 14.4053 c. M: 25.4547 c. 24: 2 4 1 3 2 2 2 4 4 N SD: 7.7284 c. M:-14.5453 c. 34: 2 6 2 4 3 3 2 6 6 N SD: 8.3744 c. M: 14.8664 c. 37: 3 6 2 4 3 4 2 7 6 N SD: 8.5324 c. M: 12.9376 c. 40: 3 7 2 5 3 4 2 7 7 N SD: 8.4250 c. M:-14.5741 c. 41: 3 7 2 5 3 4 3 7 7 N SD: 4.4691 c. M: 9.9066 c. 42: 3 7 2 5 4 4 3 7 7 N SD: 6.1113 c. M: 9.7116 c. 44: 3 8 2 5 4 4 3 7 8 N SD: 5.9723 c. M: 13.5827 c. 53: 4 9 3 6 4 5 4 9 9 N SD: 5.5886 c. M:-10.8031 c. 54: 4 9 3 6 5 5 4 9 9 N SD: 4.6965 c. M:-8.6840 c. 58: 4 10 3 7 5 5 4 10 10 N SD: 3.6562 c. M: 7.3203 c. 59: 4 10 3 7 5 6 4 10 10 N SD: 4.5630 c. M: 7.2903 c. 65: 5 11 3 8 5 7 4 11 11 N SD: 4.5226 c. M:-9.2315 c. 70: 5 12 4 8 6 6 5 12 12 N SD: 4.3429 c. M:-8.5389 c. 71: 5 12 4 8 6 7 5 12 12 N SD: 3.1202 c. M: 5.2851 c. 82: 6 14 4 10 7 8 5 14 14 N SD: 2.8739 c. M:-6.3046 c. 83: 6 14 4 10 7 8 6 14 14 N SD: 2.8818 c. M: 4.4731 c. 94: 7 16 5 11 8 9 6 16 16 N SD: 3.3346 c. M:-5.9857 c. 95: 7 16 5 11 8 9 7 16 16 N SD: 2.6534 c. M:-4.4735 c. 99: 7 17 5 12 8 10 6 17 17 N SD: 2.0656 c. M:-4.3830 c. 121: 9 20 6 15 10 12 8 20 21 N SD: 2.9693 c. M: 4.3537 c. 123: 9 21 6 15 10 12 8 21 21 N SD: 1.2603 c. M:-2.3502 c. 170: 12 29 9 20 14 17 11 29 29 N SD: 1.5140 c. M: 2.3387 c. 177: 13 30 9 21 15 17 12 30 30 N SD: 1.3641 c. M:-2.6809 c. 181: 13 31 9 22 15 17 12 31 31 N SD: 1.2548 c. M: 2.3657 c. 182: 13 31 9 22 15 18 12 31 31 N SD: 1.1983 c. M: 2.0105 c. 194: 14 33 10 23 16 19 13 33 33 N SD: 0.8704 c. M: 1.4580 c. 240: 17 41 12 29 20 23 16 41 41 N SD: 0.9513 c. M: 1.7504 c. 250: 18 43 12 30 21 24 17 42 43 N SD: 0.9443 c. M: 1.8009 c. 252: 18 43 13 30 21 24 17 43 43 N SD: 0.7345 c. M: 1.2742 c. 322: 23 55 16 39 27 31 21 55 55 N SD: 0.8405 c. M: 1.2539 c. 324: 23 56 16 39 27 31 22 55 55 N SD: 0.7666 c. M:-1.2766 c. 334: 24 57 17 40 28 32 22 57 57 N SD: 0.6817 c. M:-1.1347 c. 341: 24 59 17 41 28 33 23 58 58 N SD: 0.5437 c. M: 0.9972 c. 375: 27 64 19 45 31 36 25 64 64 N SD: 0.5615 c. M:-0.9453 c. 417: 30 71 21 50 35 40 28 71 71 N SD: 0.5370 c. M: 1.1029 c. 423: 30 73 21 51 35 41 28 72 72 N SD: 0.6242 c. M:-1.2882 c. 434: 31 74 22 52 36 42 29 74 74 N SD: 0.6149 c. M: 1.4278 c. 441: 31 76 22 53 37 42 30 75 75 N SD: 0.5840 c. M: 1.1009 c. 447: 32 77 22 54 37 43 30 76 76 N SD: 0.6760 c. M:-1.2184 c. 451: 32 78 22 54 38 43 30 77 77 N SD: 0.5954 c. M: 1.0721 c. 453: 32 78 23 54 38 43 31 77 77 N SD: 0.6270 c. M:-0.8568 c. 461: 33 79 23 55 39 44 31 78 79 N SD: 0.5524 c. M: 1.0408 c. 464: 33 80 23 56 38 45 31 79 79 N SD: 0.4793 c. M:-1.1258 c. 506: 36 87 25 61 42 49 34 86 86 N SD: 0.4460 c. M:-0.7789 c. 518: 37 89 26 62 43 50 35 88 88 N SD: 0.5051 c. M:-0.9620 c. 522: 37 90 26 63 43 50 35 89 89 N SD: 0.4707 c. M:-1.1258 c. 535: 38 92 27 64 44 52 36 91 91 N SD: 0.4612 c. M: 0.8800 c. 540: 38 93 27 65 45 52 36 92 92 N SD: 0.4512 c. M: 1.0102 c. 547: 39 94 27 66 45 53 37 93 93 N SD: 0.4309 c. M: 0.7569 c. 550: 39 95 27 66 46 53 37 93 94 N SD: 0.4299 c. M:-0.6840 c. 552: 39 95 28 66 46 53 37 94 94 N SD: 0.3983 c. M:-0.7128 c. 564: 40 97 28 68 47 54 38 96 96 N SD: 0.3050 c. M:-0.4722 c. 687: 49 118 34 83 57 66 46 117 117 N SD: 0.2944 c. M:-0.6439 c. 758: 54 130 38 91 63 73 51 129 129 N SD: 0.2165 c. M: 0.4575 c. 802: 57 138 40 96 67 77 54 136 137 N SD: 0.1924 c. M: 0.3884 c. 881: 63 151 44 106 73 85 59 150 150 N SD: 0.2318 c. M:-0.3743 c. 925: 66 159 46 111 77 89 62 157 158 N SD: 0.1757 c. M: 0.3739 c. 966: 69 166 48 116 80 93 65 164 165 N SD: 0.2100 c. M: 0.3698 c. 984: 70 169 49 118 82 95 66 167 168 N SD: 0.2124 c. M: 0.3040 c. 986: 70 170 49 118 82 95 66 168 168 N SD: 0.1994 c. M:-0.3388 c. 996: 71 171 50 119 83 96 67 169 170 N SD: 0.1963 c. M:-0.3461 c. 1008: 72 173 50 121 84 97 68 171 172 N SD: 0.1934 c. M:-0.3507 c. 1107: 79 190 55 133 92 107 74 188 189 N SD: 0.1925 c. M:-0.3426 c. 1119: 80 192 56 134 93 108 75 190 191 N SD: 0.1881 c. M:-0.3362 c. 1151: 82 198 57 138 96 111 77 196 196 N SD: 0.1570 c. M:-0.2653 c. 1209: 86 208 60 145 101 116 81 206 206 N SD: 0.1488 c. M:-0.2610 c. 1349: 96 232 67 162 112 130 91 229 230 N SD: 0.1445 c. M:-0.3816 c. 1403: 100 241 70 168 117 135 94 239 239 N SD: 0.1137 c. M: 0.2014 c. 1506: 107 259 75 181 125 145 101 256 257 N SD: 0.1228 c. M: 0.1957 c. 1530: 109 263 76 184 127 147 103 260 261 N SD: 0.1177 c. M:-0.2603 c. 1560: 111 268 78 187 130 150 105 265 266 N SD: 0.1154 c. M:-0.2225 c. 1683: 120 289 84 202 140 162 113 286 287 N SD: 0.0954 c. M: 0.1283 c. 1994: 142 343 99 239 166 192 134 339 340 N SD: 0.0729 c. M: 0.1401 c. 2328: 166 400 116 279 194 224 156 396 397 N SD: 0.0691 c. M:-0.1123 c.
FIT/HARMONIC
1 x x x x x x x x 2 S SD: 0.0000 cents 2 x x x x x 3 x x 4 S SD: 4.4068 cents 3 x x x 4 x x 5 x 6 S SD: 31.0265 cents 4 x x 5 x x 6 x 7:8 S SD: 11.1765 cents 5 x 6 x x 7 x 8:9:10 S SD: 8.3106 cents 6 x 7 x 8 x 9 x 11:12 SD: 12.0257 cents 7 x 8 x 9:10 x 11:12:14 S SD: 18.0738 cents 8 x 9:10 x 11:12:13:14:16 S SD: 16.9443 cents 9:10 x 11:12:13 x 14:16:18 S SD: 15.5375 cents 10:11:12 x 13:14:15:16:18:20 S SD: 12.3939 cents 11:12:13 x 15:16 x 17:20:22 SD: 15.5311 cents 12:13:14:15:16:17:18:19:21:24 SD: 8.2580 cents 14:15 x 17:19:20:21:22:25:28 SD: 7.0889 cents 15:16:18 x 20:21:23:24:27:30 SD: 7.1576 cents 17:18:20:21:23:24:26:27:30:34 SD: 5.1291 cents 21:22:25:26:28:30:32:33:37:42 SD: 4.4435 cents 22:23:26:27:29:31:33:35:39:44 SD: 2.8050 cents 36:38:43:44:48:51:54:57:64:72 SD: 2.4771 cents 39:41:46:48:52:55:59:62:69:78 SD: 2.0115 cents 54:57:64:66:72:76:81:85:96:108 SD: 1.6541 cents 59:62:70:72:79:83:89:93:105:118 SD: 1.5743 cents 61:64:72:75:81:86:92:96:108:122 SD: 1.4397 cents 75:79:89:92:100:106:113:118:133:150 SD: 1.2467 cents 76:80:90:93:101:107:115:120:135:152 SD: 0.9645 cents 81:85:96:99:108:114:122:128:144:162 SD: 0.7877 cents 102:107:121:125:136:144:154:161:181:204 SD: 0.7563 cents 120:126:142:147:160:169:181:190:213:240 SD: 0.6741 cents 124:130:147:152:165:175:187:196:220:248 SD: 0.6494 cents 136:143:161:167:181:192:205:215:242:272 SD: 0.6035 cents 142:149:168:174:189:200:214:224:252:284 SD: 0.5179 cents 178:187:211:218:237:251:268:281:316:356 SD: 0.4572 cents 195:205:231:239:260:275:294:308:347:390 SD: 0.4541 cents 197:207:233:241:262:278:297:311:350:394 SD: 0.3940 cents 217:228:257:266:289:306:327:343:386:434 SD: 0.3157 cents 256:269:303:314:341:361:386:404:455:512 SD: 0.3063 cents 278:292:329:341:370:392:419:439:494:556 SD: 0.2639 cents 333:350:394:408:443:470:502:526:592:666 SD: 0.2417 cents 359:377:425:440:478:506:541:567:638:718 SD: 0.1990 cents 392:412:464:480:522:553:591:619:697:784 SD: 0.1821 cents 414:435:490:507:551:584:624:654:736:828 SD: 0.1406 cents 516:542:611:632:687:728:778:815:917:1032 SD: 0.1283 cents 534:561:632:654:711:753:805:843:949:1068 SD: 0.1230 cents 556:584:658:681:740:784:838:878:988:1112 SD: 0.1167 cents 573:602:678:702:763:808:864:905:1018:1146 SD: 0.0907 cents