Scala analysis: CD12_08_saba_Iraq
Suite - Ensemble de Muhammad Al-Qubbbânjî (saba, Iraq)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 158.447 cents 158.446663 2: 297.208 cents 297.208318 3: 438.175 cents 438.174801 4: 669.760 cents 669.759931 5: 848.095 cents 848.095436 6: 998.850 cents 998.850493 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 201.1495 cents 201.1495 1: 158.4467 cents 158.4467 2: 138.7617 cents 138.7617 3: 140.9665 cents 140.9665 4: 231.5851 cents 231.5851 5: 178.3355 cents 178.3355 6: 150.7551 cents 150.7551 7: 201.1495 cents 201.1495
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 138.76166 cents 1: 1 140.96648 cents 1: 1 150.75506 cents 1: 1 158.44666 cents 1: 1 178.33550 cents 1: 1 201.14951 cents 1: 1 231.58513 cents 2: 1 279.72814 cents 2: 1 297.20832 cents 2: 1 329.09056 cents 2: 1 351.90456 cents 2: 1 359.59617 cents 2: 1 372.55161 cents 2: 1 409.92064 cents 3: 1 438.17480 cents 3: 1 498.35783 cents 3: 1 510.35123 cents 3: 1 511.31327 cents 3: 1 530.24007 cents 3: 1 550.88712 cents 3: 1 560.67569 cents 4: 1 639.32431 cents 4: 1 649.11288 cents 4: 1 669.75993 cents 4: 1 688.68673 cents 4: 1 689.64877 cents 4: 1 701.64217 cents 4: 1 761.82520 cents 5: 1 790.07937 cents 5: 1 827.44839 cents 5: 1 840.40383 cents 5: 1 848.09544 cents 5: 1 870.90944 cents 5: 1 902.79168 cents 5: 1 920.27186 cents 6: 1 968.41487 cents 6: 1 998.85049 cents 6: 1 1021.66449 cents 6: 1 1041.55334 cents 6: 1 1049.24494 cents 6: 1 1059.03352 cents 6: 1 1061.23834 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 : 158.4 297.2 438.2 669.8 848.1 998.9 1200.0 158.4 : 138.8 279.7 511.3 689.6 840.4 1041.6 1200.0 297.2 : 141.0 372.6 550.9 701.6 902.8 1061.2 1200.0 438.2 : 231.6 409.9 560.7 761.8 920.3 1059.0 1200.0 669.8 : 178.3 329.1 530.2 688.7 827.4 968.4 1200.0 848.1 : 150.8 351.9 510.4 649.1 790.1 1021.7 1200.0 998.9 : 201.1 359.6 498.4 639.3 870.9 1049.2 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 138.7617 .. 231.5851 cents 92.82348 cents 138.76166 cents 2: 279.7281 .. 409.9206 cents 130.19250 cents 48.14301 cents 3: 438.1748 .. 560.6757 cents 122.50089 cents 28.25417 cents 4: 639.3243 .. 761.8252 cents 122.50089 cents 78.64862 cents 5: 790.0794 .. 920.2719 cents 130.19250 cents 28.25417 cents 6: 968.4149 .. 1061.2383 cents 92.82348 cents 48.14301 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 138.76166 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 231.58513 cents Average / Smallest step : 1.235417 Largest / Average step : 1.350913 Largest / Smallest step : 1.668942 Median interval of one step : 158.44666 cents, amount: 1 Least squares average step : 167.00005 cents, oct.: 1169.00038 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : DABGECF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 28.25417 cents Scale diversity : 1.545548 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.424139 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 : 0.96204 cents Number of recognisable fifths : 3, average 693.3259 cents Number of appreciable fifths : 2, average 695.6455 cents Best fifths 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: 36.3808 c. M:-76.1109 c. Lebeng 9: 1 1 1 2 1 1 2 P M ME S SD: 37.1022 c. M: 65.5172 c. 10: 1 1 2 2 1 1 2 P D3 S SD: 38.9124 c. M: 57.2083 c. 11: 1 2 1 2 2 1 2 P M ME S SD: 25.2741 c. M: 49.3558 c. 12: 2 1 1 3 1 2 2 N T3 SD: 30.2861 c. M: 48.0954 c. Sabach (Sambah) ascending: Greece 13: 2 1 2 2 2 2 2 SP M ME S SD: 19.9032 c. M:-26.1687 c. Tamashian 16: 2 2 2 3 2 2 3 SP M ME S SD: 13.8805 c. M: 23.8505 c. Antilydian 20: 3 2 2 4 3 3 3 P SD: 14.1964 c. M:-21.5533 c. 23: 3 3 2 5 3 3 4 P SD: 11.9095 c. M: 20.7835 c. 24: 3 3 3 4 4 3 4 SP D3 SD: 9.3685 c. M: 19.7599 c. 25: 3 3 3 5 4 3 4 P SD: 9.8075 c. M:-15.9046 c. 30: 4 3 4 6 4 4 5 SP SD: 8.2253 c. M: 17.2083 c. 31: 4 4 3 6 5 4 5 P SD: 8.6883 c. M:-12.4691 c. 32: 4 4 4 6 5 4 5 SP SD: 9.5636 c. M:-14.4046 c. 33: 4 4 4 6 5 4 6 SP SD: 11.1546 c. M: 17.0323 c. 34: 4 4 4 7 5 4 6 P SD: 11.0057 c. M: 17.2702 c. 36: 5 4 4 7 5 5 6 SP SD: 6.8412 c. M: 14.7621 c. 41: 5 5 5 8 6 5 7 SP SD: 5.2609 c. M: 12.1052 c. 44: 6 5 5 9 6 6 7 SP SD: 6.4945 c. M:-12.0583 c. 47: 6 5 6 9 7 6 8 SP SD: 7.4429 c. M: 16.3573 c. 48: 6 6 6 9 7 6 8 SP SD: 5.9926 c. M:-11.8252 c. 49: 6 6 6 9 8 6 8 SP SD: 6.8928 c. M: 11.5079 c. 52: 7 6 6 10 8 6 9 SP SD: 3.6566 c. M: 6.5428 c. 61: 8 7 7 12 9 8 10 SP SD: 2.9262 c. M: 5.3879 c. 68: 9 8 8 13 10 9 11 SP SD: 3.1203 c. M:-7.0319 c. 77: 10 9 9 15 11 10 13 SP SD: 2.8344 c. M: 6.5370 c. 82: 11 9 10 16 12 10 14 SP SD: 2.7672 c. M: 4.5254 c. 102: 13 12 12 20 15 13 17 SP SD: 2.7056 c. M: 5.5055 c. 106: 14 12 13 20 16 13 18 SP SD: 2.0884 c. M:-3.3346 c. 113: 15 13 13 22 17 14 19 SP SD: 1.2819 c. M: 2.7766 c. 150: 20 17 18 29 22 19 25 SP SD: 1.3914 c. M:-2.2401 c. 161: 21 19 19 31 24 20 27 SP SD: 1.2364 c. M: 1.9249 c. 167: 22 19 20 32 25 21 28 SP SD: 1.1451 c. M: 2.5975 c. 181: 24 21 21 35 27 23 30 SP SD: 1.0337 c. M:-2.2545 c. 190: 25 22 22 37 28 24 32 SP SD: 1.2125 c. M: 2.3853 c. 197: 26 23 23 38 29 25 33 SP SD: 0.7394 c. M: 1.3949 c. 263: 35 30 31 51 39 33 44 SP SD: 0.6957 c. M:-1.2492 c. 279: 37 32 33 54 41 35 47 SP SD: 0.7587 c. M:-1.2078 c. 287: 38 33 34 55 43 36 48 SP SD: 0.5732 c. M:-0.8496 c. 310: 41 36 36 60 46 39 52 SP SD: 0.4667 c. M:-0.8562 c. 364: 48 42 43 70 54 46 61 SP SD: 0.4427 c. M: 0.8427 c. 416: 55 48 49 80 62 52 70 SP SD: 0.3803 c. M: 0.7736 c. 460: 61 53 54 89 68 58 77 SP SD: 0.3991 c. M:-0.6838 c. 477: 63 55 56 92 71 60 80 SP SD: 0.3279 c. M: 0.5775 c. 589: 78 68 69 114 87 74 99 SP SD: 0.4122 c. M: 0.5572 c. 597: 79 69 70 115 89 75 100 SP SD: 0.2425 c. M: 0.4132 c. 638: 84 74 75 123 95 80 107 SP SD: 0.2008 c. M: 0.4529 c. 751: 99 87 88 145 112 94 126 SP SD: 0.2482 c. M:-0.3733 c. 788: 104 91 93 152 117 99 132 SP SD: 0.2241 c. M:-0.4039 c. 835: 110 97 98 161 124 105 140 SP SD: 0.1974 c. M: 0.3628 c. 901: 119 104 106 174 134 113 151 SP SD: 0.1507 c. M:-0.2952 c. 948: 125 110 111 183 141 119 159 SP SD: 0.1642 c. M:-0.2600 c. 1098: 145 127 129 212 163 138 184 SP SD: 0.0825 c. M:-0.1854 c. 1514: 200 175 178 292 225 190 254 SP SD: 0.0874 c. M: 0.1715 c. 1575: 208 182 185 304 234 198 264 SP SD: 0.0570 c. M: 0.0954 c. 2213: 292 256 260 427 329 278 371 SP SD: 0.0583 c. M: 0.1096 c. 2333: 308 270 274 450 347 293 391 SP SD: 0.0593 c. M:-0.0913 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: 16.0975 cents 3 x x 4 x 5 x 6 S SD: 23.3321 cents 4 x x 5:6 x 7:8 S SD: 17.0066 cents 5 x 6 x 7:8:9:10 S SD: 19.4806 cents 6 x 7:8:9:10:11:12 S SD: 16.1657 cents 7 x 8:9:10:11:12:14 S SD: 20.9003 cents 8:9 x 10:12:13:14:16 S SD: 13.6948 cents 9:10:11:12:13:15:16:18 SD: 13.6273 cents 10:11:12:13:15:16:18:20 SD: 8.0963 cents 11:12:13:14:16:18:20:22 S SD: 6.8855 cents 17:19:20:22:25:28:30:34 SD: 6.3510 cents 21:23:25:27:31:34:37:42 SD: 3.4416 cents 31:34:37:40:46:51:55:62 SD: 3.2112 cents 32:35:38:41:47:52:57:64 SD: 1.8616 cents 55:60:65:71:81:90:98:110 SD: 1.8176 cents 59:65:70:76:87:96:105:118 SD: 1.5810 cents 63:69:75:81:93:103:112:126 SD: 1.1833 cents 74:81:88:95:109:121:132:148 SD: 1.1441 cents 95:104:113:122:140:155:169:190 SD: 0.9552 cents 101:111:120:130:149:165:180:202 SD: 0.9511 cents 112:123:133:144:165:183:199:224 SD: 0.9285 cents 114:125:135:147:168:186:203:228 SD: 0.7544 cents 133:146:158:171:196:217:237:266 SD: 0.6997 cents 146:160:173:188:215:238:260:292 SD: 0.5824 cents 155:170:184:200:228:253:276:310 SD: 0.5458 cents 177:194:210:228:261:289:315:354 SD: 0.4465 cents 187:205:222:241:275:305:333:374 SD: 0.3846 cents 209:229:248:269:308:341:372:418 SD: 0.3453 cents 218:239:259:281:321:356:388:436 SD: 0.3250 cents 229:251:272:295:337:374:408:458 SD: 0.2778 cents 250:274:297:322:368:408:445:500 SD: 0.1855 cents 364:399:432:469:536:594:648:728 SD: 0.1660 cents 396:434:470:510:583:646:705:792 SD: 0.1627 cents 438:480:520:564:645:715:780:876 SD: 0.0958 cents