Scala analysis: CD13_22_Turkey
Peuple oriental - Mesut Cemil Bey (unknown maqam, Turkey)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 173.031 cents 173.031451 2: 294.705 cents 294.705475 3: 498.270 cents 498.270205 4: 710.615 cents 710.614821 5: 871.199 cents 871.199349 6: 993.107 cents 993.107280 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 206.8927 cents 206.8927 1: 173.0315 cents 173.0315 2: 121.6740 cents 121.6740 3: 203.5647 cents 203.5647 4: 212.3446 cents 212.3446 5: 160.5845 cents 160.5845 6: 121.9079 cents 121.9079 7: 206.8927 cents 206.8927
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 121.67402 cents 1: 1 121.90793 cents 1: 1 160.58453 cents 1: 1 173.03145 cents 1: 1 203.56473 cents 1: 1 206.89272 cents 1: 1 212.34462 cents 2: 1 282.49246 cents 2: 1 294.70547 cents 2: 1 325.23875 cents 2: 1 328.80065 cents 2: 1 372.92914 cents 2: 1 379.92417 cents 2: 1 415.90935 cents 3: 1 489.38518 cents 3: 1 494.83707 cents 3: 1 498.27021 cents 3: 1 501.59820 cents 3: 1 501.83210 cents 3: 1 537.58337 cents 3: 1 576.49387 cents 4: 1 623.50613 cents 4: 1 662.41663 cents 4: 1 698.16790 cents 4: 1 698.40180 cents 4: 1 701.72979 cents 4: 1 705.16293 cents 4: 1 710.61482 cents 5: 1 784.09065 cents 5: 1 820.07583 cents 5: 1 827.07086 cents 5: 1 871.19935 cents 5: 1 874.76125 cents 5: 1 905.29453 cents 5: 1 917.50754 cents 6: 1 987.65538 cents 6: 1 993.10728 cents 6: 1 996.43527 cents 6: 1 1026.96855 cents 6: 1 1039.41547 cents 6: 1 1078.09207 cents 6: 1 1078.32598 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 7.00000 = 7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 173.0 294.7 498.3 710.6 871.2 993.1 1200.0 173.0 : 121.7 325.2 537.6 698.2 820.1 1027.0 1200.0 294.7 : 203.6 415.9 576.5 698.4 905.3 1078.3 1200.0 498.3 : 212.3 372.9 494.8 701.7 874.8 996.4 1200.0 710.6 : 160.6 282.5 489.4 662.4 784.1 987.7 1200.0 871.2 : 121.9 328.8 501.8 623.5 827.1 1039.4 1200.0 993.1 : 206.9 379.9 501.6 705.2 917.5 1078.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 121.6740 .. 212.3446 cents 90.67059 cents 121.67402 cents 2: 282.4925 .. 415.9093 cents 133.41689 cents 70.14784 cents 3: 489.3852 .. 576.4939 cents 87.10869 cents 73.47583 cents 4: 623.5061 .. 710.6148 cents 87.10869 cents 47.01225 cents 5: 784.0907 .. 917.5075 cents 133.41689 cents 73.47583 cents 6: 987.6554 .. 1078.3260 cents 90.67059 cents 70.14784 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 121.67402 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 212.34462 cents Average / Smallest step : 1.408917 Largest / Average step : 1.238677 Largest / Smallest step : 1.745193 Median interval of one step : 173.03145 cents, amount: 1 Least squares average step : 170.10252 cents, oct.: 1190.71764 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : DAEGCBF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 47.01225 cents Scale diversity : 1.538316 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.481340 Rothenberg efficiency : 0.285714 redundancy: 0.714286 Efficiency x scale size : 2.000000 Number of different interval sizes : 42 = 7.00000 / class Number of one step interval sizes : 7 Highest interval variety : 7 Mean interval variety : 7.00000 = 7 Median interval variety : 7 Lowest interval variety : 7 Smallest interval difference : 0.23391 cents Number of recognisable fifths : 5, average 702.8154 cents Best fifths form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 25.7820 c. M:-48.1517 c. Lebeng 12: 2 1 2 2 2 1 2 P M ME I SD: 15.8023 c. M:-28.8007 c. G.Phrygian, M.Dorian, M.Hypomixolydian, Kafi That, Mela Kharaharapriya, Raga Bageshri, Bhimpalasi, Huseni, Kanara, Kapi, Nayaki Kanada, Ritigaula, Sriraga, Mischung 5, Gregorian nr.8, Eskimo Heptatonic, Yu: China, Hyojo, Oshikicho, Banshikicho: Japan, Nam: Vietnam 17: 2 2 3 3 2 2 3 SP D3 S SD: 16.0955 c. M: 31.8550 c. 19: 3 2 3 3 3 2 3 SP M ME I SD: 14.5828 c. M:-21.0840 c. Nineteen-tone Dorian 22: 3 2 4 4 3 2 4 P SD: 10.4033 c. M: 21.9782 c. Murchhana Abhirudgata, Kafi That, Raga Bageshri 25: 4 2 4 5 3 3 4 SP SD: 12.5372 c. M:-18.9685 c. 27: 4 3 4 5 4 2 5 SP SD: 11.5130 c. M:-17.6895 c. 28: 4 3 5 5 3 3 5 SP SD: 11.0956 c. M:-17.9566 c. 29: 4 3 5 5 4 3 5 SP SD: 4.4924 c. M: 7.5142 c. 41: 6 4 7 7 6 4 7 SP SD: 4.2938 c. M: 8.1758 c. 56: 8 6 9 10 8 5 10 SP SD: 5.0844 c. M: 7.3930 c. 57: 8 6 10 10 7 6 10 SP SD: 4.9972 c. M: 8.0415 c. 62: 9 6 11 11 8 6 11 SP SD: 3.9947 c. M: 6.0105 c. 69: 10 7 12 12 9 7 12 SP SD: 2.6841 c. M:-6.0776 c. 74: 11 7 13 13 10 7 13 SP SD: 3.7786 c. M:-5.3469 c. 76: 11 8 13 13 10 8 13 SP SD: 3.5404 c. M:-6.9930 c. 77: 11 8 13 14 10 8 13 SP SD: 3.0422 c. M:-6.2683 c. 81: 12 8 14 14 11 8 14 SP SD: 3.0085 c. M:-5.4335 c. 85: 12 9 14 15 12 8 15 SP SD: 3.7102 c. M: 4.8720 c. 86: 12 9 15 15 11 9 15 SP SD: 3.6714 c. M: 6.0831 c. 89: 13 9 15 16 12 9 15 SP SD: 3.2456 c. M:-5.2051 c. 91: 13 9 16 16 12 9 16 SP SD: 2.7097 c. M: 4.5956 c. 98: 14 10 17 17 13 10 17 SP SD: 1.7943 c. M:-3.7706 c. 103: 15 10 18 18 14 10 18 SP SD: 2.2915 c. M: 3.4433 c. 106: 15 11 18 19 14 11 18 SP SD: 1.9722 c. M: 3.2201 c. 110: 16 11 19 19 15 11 19 SP SD: 1.6779 c. M:-3.5480 c. 118: 17 12 20 21 16 12 20 SP SD: 1.9012 c. M:-3.5029 c. 123: 18 12 21 22 16 13 21 SP SD: 1.9364 c. M: 2.9067 c. 135: 19 14 23 24 18 14 23 SP SD: 1.9099 c. M: 4.1426 c. 138: 20 14 23 25 18 14 24 SP SD: 1.7049 c. M: 2.6180 c. 139: 20 14 24 24 19 14 24 SP SD: 1.4865 c. M: 2.7012 c. 164: 24 16 28 29 22 17 28 SP SD: 1.5239 c. M:-2.5783 c. 167: 24 17 28 30 22 17 29 SP SD: 1.3216 c. M: 2.4618 c. 174: 25 18 29 31 23 18 30 SP SD: 1.2987 c. M: 2.2338 c. 179: 26 18 30 32 24 18 31 SP SD: 1.0280 c. M: 2.1808 c. 186: 27 19 31 33 25 19 32 SP SD: 1.1336 c. M:-2.0687 c. 208: 30 21 35 37 28 21 36 SP SD: 0.9522 c. M: 2.1164 c. 209: 30 21 36 37 28 21 36 SP SD: 1.1898 c. M: 1.8825 c. 215: 31 22 36 38 29 22 37 SP SD: 1.0081 c. M: 1.7776 c. 216: 31 22 37 38 29 22 37 SP SD: 0.9853 c. M:-1.7298 c. 231: 33 24 39 41 31 23 40 SP SD: 1.1343 c. M: 1.6029 c. 233: 34 23 40 41 31 24 40 SP SD: 1.1189 c. M:-2.0758 c. 236: 34 24 40 42 31 24 41 SP SD: 1.0034 c. M: 1.7078 c. 237: 34 24 40 42 32 24 41 SP SD: 1.1824 c. M: 2.0677 c. 238: 34 24 41 42 32 24 41 SP SD: 1.1817 c. M: 2.2685 c. 241: 35 24 41 43 32 24 42 SP SD: 1.1690 c. M: 2.2359 c. 243: 35 25 41 43 32 25 42 SP SD: 1.0408 c. M: 2.0635 c. 245: 35 25 42 43 33 25 42 SP SD: 0.9975 c. M: 1.6029 c. 248: 36 25 42 44 33 25 43 SP SD: 0.7025 c. M: 1.1718 c. 277: 40 28 47 49 37 28 48 SP SD: 0.4475 c. M: 1.0495 c. 306: 44 31 52 54 41 31 53 SP SD: 0.6054 c. M: 0.9504 c. 318: 46 32 54 56 43 32 55 SP SD: 0.6019 c. M: 1.1809 c. 354: 51 36 60 63 47 36 61 SP SD: 0.4844 c. M:-1.2496 c. 366: 53 37 62 65 49 37 63 SP SD: 0.5877 c. M:-0.9318 c. 383: 55 39 65 68 51 39 66 SP SD: 0.3712 c. M: 0.7077 c. 395: 57 40 67 70 53 40 68 SP SD: 0.3115 c. M:-0.6994 c. 424: 61 43 72 75 57 43 73 SP SD: 0.3160 c. M:-0.4988 c. 493: 71 50 84 87 66 50 85 SP SD: 0.3044 c. M:-0.7156 c. 631: 91 64 107 112 84 64 109 SP SD: 0.2950 c. M:-0.6372 c. 650: 94 66 110 115 87 66 112 SP SD: 0.3440 c. M:-0.6791 c. 660: 95 67 112 117 88 67 114 SP SD: 0.2511 c. M: 0.3800 c. 667: 96 68 113 118 89 68 115 SP SD: 0.2443 c. M: 0.4347 c. 672: 97 68 114 119 90 68 116 SP SD: 0.1538 c. M: 0.2501 c. 701: 101 71 119 124 94 71 121 SP SD: 0.1775 c. M: 0.2690 c. 956: 138 97 162 169 128 97 165 SP SD: 0.1654 c. M:-0.2736 c. 1055: 152 107 179 187 141 107 182 SP SD: 0.1411 c. M:-0.2857 c. 1062: 153 108 180 188 142 108 183 SP SD: 0.1165 c. M:-0.2098 c. 1339: 193 136 227 237 179 136 231 SP SD: 0.0889 c. M:-0.1414 c. 1380: 199 140 234 244 185 140 238 SP SD: 0.0876 c. M: 0.1800 c. 1734: 250 176 294 307 232 176 299 SP SD: 0.0667 c. M:-0.1118 c. 1763: 254 179 299 312 236 179 304 SP SD: 0.0594 c. M: 0.1443 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x 4 S SD: 4.3299 cents 3 x x 4 x 5 x 6 S SD: 4.3871 cents 4 x 5 x 6 x 7:8 S SD: 23.7916 cents 5 x 6:7 x 8:9:10 S SD: 21.3939 cents 6 x 7:8:9:10:11:12 S SD: 10.7854 cents 7:8 x 9:11 x 12:14 SD: 25.4061 cents 8:9 x 11:12:13:14:16 SD: 12.2167 cents 9:10:11:12:14:15:16:18 S SD: 11.0621 cents 10:11:12:13:15:17:18:20 SD: 10.4678 cents 12:13:14:16:18:20:21:24 S SD: 7.5592 cents 17:19:20:23:26:28:30:34 SD: 6.3235 cents 18:20:21:24:27:30:32:36 S SD: 4.7803 cents 21:23:25:28:32:35:37:42 SD: 4.4472 cents 26:29:31:35:39:43:46:52 SD: 3.8425 cents 27:30:32:36:41:45:48:54 SD: 2.9575 cents 37:41:44:49:56:61:66:74 SD: 2.6719 cents 38:42:45:51:57:63:67:76 SD: 2.6612 cents 39:43:46:52:59:65:69:78 SD: 2.6119 cents 47:52:56:63:71:78:83:94 SD: 2.3817 cents 48:53:57:64:72:79:85:96 SD: 1.8832 cents 49:54:58:65:74:81:87:98 SD: 1.5942 cents 66:73:78:88:99:109:117:132 SD: 1.5535 cents 69:76:82:92:104:114:122:138 SD: 1.3975 cents 75:83:89:100:113:124:133:150 SD: 0.4919 cents 162:179:192:216:244:268:288:324 SD: 0.4914 cents 173:191:205:231:261:286:307:346 SD: 0.4809 cents 183:202:217:244:276:303:325:366 SD: 0.4383 cents 199:220:236:265:300:329:353:398 SD: 0.3992 cents 231:255:274:308:348:382:410:462 SD: 0.3485 cents 237:262:281:316:357:392:421:474 SD: 0.3157 cents 248:274:294:331:374:410:440:496 SD: 0.2820 cents 258:285:306:344:389:427:458:516 SD: 0.2217 cents 333:368:395:444:502:551:591:666 SD: 0.1600 cents 485:536:575:647:731:802:861:970 SD: 0.1471 cents 506:559:600:675:763:837:898:1012 SD: 0.1441 cents 534:590:633:712:805:883:948:1068 SD: 0.1303 cents 581:642:689:775:876:961:1031:1162 SD: 0.1117 cents 599:662:710:799:903:991:1063:1198 SD: 0.1082 cents