Scala analysis: CD11_05_bayati_Iraq
Suite - Ensemble de Muhammad Al-Qubbbânjî (bayati, Iraq)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 141.453 cents 141.453246 2: 299.368 cents 299.367947 3: 485.177 cents 485.177053 4: 703.314 cents 703.314303 5: 990.154 cents 990.154458 6: 1037.286 cents 1037.286487 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 162.7135 cents 162.7135 1: 141.4532 cents 141.4532 2: 157.9147 cents 157.9147 3: 185.8091 cents 185.8091 4: 218.1373 cents 218.1373 5: 286.8402 cents 286.8402 6: 47.1320 cents 47.1320 7: 162.7135 cents 162.7135
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 47.13203 cents 1: 1 141.45325 cents 1: 1 157.91470 cents 1: 1 162.71351 cents 1: 1 185.80911 cents 1: 1 218.13725 cents 1: 1 286.84015 cents 2: 1 209.84554 cents 2: 1 299.36795 cents 2: 1 304.16676 cents 2: 1 333.97218 cents 2: 1 343.72381 cents 2: 1 403.94636 cents 2: 1 504.97740 cents 3: 1 351.29879 cents 3: 1 462.08146 cents 3: 1 485.17705 cents 3: 1 496.68570 cents 3: 1 552.10943 cents 3: 1 561.86106 cents 3: 1 690.78651 cents 4: 1 509.21349 cents 4: 1 638.13894 cents 4: 1 647.89057 cents 4: 1 703.31430 cents 4: 1 714.82295 cents 4: 1 737.91854 cents 4: 1 848.70121 cents 5: 1 695.02260 cents 5: 1 796.05364 cents 5: 1 856.27619 cents 5: 1 866.02782 cents 5: 1 895.83324 cents 5: 1 900.63205 cents 5: 1 990.15446 cents 6: 1 913.15985 cents 6: 1 981.86275 cents 6: 1 1014.19089 cents 6: 1 1037.28649 cents 6: 1 1042.08530 cents 6: 1 1058.54675 cents 6: 1 1152.86797 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 : 141.5 299.4 485.2 703.3 990.2 1037.3 1200.0 141.5 : 157.9 343.7 561.9 848.7 895.8 1058.5 1200.0 299.4 : 185.8 403.9 690.8 737.9 900.6 1042.1 1200.0 485.2 : 218.1 505.0 552.1 714.8 856.3 1014.2 1200.0 703.3 : 286.8 334.0 496.7 638.1 796.1 981.9 1200.0 990.2 : 47.1 209.8 351.3 509.2 695.0 913.2 1200.0 1037.3: 162.7 304.2 462.1 647.9 866.0 1152.9 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 47.1320 .. 286.8402 cents 239.70813 cents 47.13203 cents 2: 209.8455 .. 504.9774 cents 295.13186 cents -76.99461 cents 3: 351.2988 .. 690.7865 cents 339.48772 cents -153.67862 cents 4: 509.2135 .. 848.7012 cents 339.48772 cents -181.57302 cents 5: 695.0226 .. 990.1545 cents 295.13186 cents -153.67862 cents 6: 913.1598 .. 1152.8680 cents 239.70813 cents -76.99461 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 47.13203 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 286.84015 cents Average / Smallest step : 3.637199 Largest / Average step : 1.673234 Largest / Smallest step : 6.085886 Median interval of one step : 162.71351 cents, amount: 1 Least squares average step : 175.59621 cents, oct.: 1229.17344 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : BCEFGAD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 4.23608 cents Scale diversity : 1.628404 Lumma stability : 0.078553 Lumma impropriety factor : 0.535766 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 : 4.23608 cents Number of recognisable fifths : 4, average 700.9866 cents Number of appreciable fifths : 3, average 696.3745 cents Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 1 1 1 1 2 0 1 N T3 SD: 28.0273 c. M:-43.4892 c. 12: 1 2 2 2 3 0 2 N SD: 22.1575 c. M: 41.4532 c. 15: 2 2 2 3 3 1 2 N SD: 16.8673 c. M: 30.1545 c. 17: 2 2 3 3 4 1 2 N SD: 10.9782 c. M:-21.5370 c. 24: 3 3 4 4 6 1 3 N SD: 8.9660 c. M:-14.8229 c. 29: 3 4 5 5 7 1 4 N SD: 8.7840 c. M: 17.3153 c. 35: 4 5 5 7 8 1 5 N SD: 8.4644 c. M:-16.6857 c. 36: 4 5 6 6 9 1 5 N SD: 7.6495 c. M:-14.8229 c. 39: 5 5 6 7 9 2 5 N SD: 7.5801 c. M:-12.3929 c. 44: 5 6 7 8 10 2 6 N SD: 4.8237 c. M: 8.3363 c. 51: 6 7 8 9 12 2 7 N SD: 4.4190 c. M:-8.9406 c. 59: 7 8 9 11 14 2 8 N SD: 4.7368 c. M:-8.5501 c. 60: 7 8 9 11 15 2 8 N SD: 4.5449 c. M:-9.8455 c. 61: 7 8 10 11 14 3 8 N SD: 4.9500 c. M:-6.6262 c. 65: 8 8 10 12 16 2 9 N SD: 4.5103 c. M:-6.7686 c. 67: 8 9 10 12 16 3 9 N SD: 3.4480 c. M:-5.1097 c. 75: 9 10 11 14 18 3 10 N SD: 3.0702 c. M: 5.1771 c. 79: 9 11 12 14 19 3 11 N SD: 3.6049 c. M: 4.7444 c. 80: 9 11 12 15 19 3 11 N SD: 3.3153 c. M: 6.4532 c. 84: 10 11 13 15 20 4 11 N SD: 3.0329 c. M:-5.5707 c. 87: 10 12 13 16 21 3 12 N SD: 2.7119 c. M:-4.0803 c. 92: 11 12 14 17 22 4 12 N SD: 2.7210 c. M:-6.1918 c. 96: 11 13 15 17 23 4 13 N SD: 2.3755 c. M: 3.9532 c. 104: 12 14 16 19 25 4 14 N SD: 1.5102 c. M: 2.9917 c. 109: 13 14 17 20 26 4 15 N SD: 1.5031 c. M: 2.4241 c. 133: 16 17 21 24 32 5 18 N SD: 1.7305 c. M:-2.9077 c. 143: 17 19 22 26 34 6 19 N SD: 1.8699 c. M:-3.2730 c. 148: 17 20 23 27 35 6 20 N SD: 1.7235 c. M: 3.6154 c. 153: 18 20 24 28 36 6 21 N SD: 1.5718 c. M:-2.5680 c. 154: 18 20 24 28 37 6 21 N SD: 1.7539 c. M: 3.2641 c. 155: 18 21 24 28 37 6 21 N SD: 1.6775 c. M:-2.5675 c. 160: 19 21 25 29 38 6 22 N SD: 1.4631 c. M:-2.3229 c. 161: 19 21 25 29 39 6 22 N SD: 1.3205 c. M: 2.6932 c. 176: 21 23 27 32 42 7 24 N SD: 1.1218 c. M:-1.7286 c. 193: 23 25 30 35 46 8 26 N SD: 1.0248 c. M: 1.5534 c. 205: 24 27 32 37 49 8 28 N SD: 0.8490 c. M: 1.1889 c. 213: 25 28 33 39 51 8 29 N SD: 0.8143 c. M:-1.3948 c. 252: 30 33 39 46 60 10 34 N SD: 0.8874 c. M:-1.4476 c. 264: 31 35 41 48 63 10 36 N SD: 0.8486 c. M:-1.2312 c. 273: 32 36 42 50 65 11 37 N SD: 0.8383 c. M: 1.6606 c. 280: 33 37 43 51 67 11 38 N SD: 0.4548 c. M: 0.8913 c. 304: 36 40 47 55 73 12 41 N SD: 0.6065 c. M:-0.8714 c. 348: 41 46 54 63 83 14 47 N SD: 0.5540 c. M:-1.0298 c. 384: 45 51 59 70 92 15 52 N SD: 0.5387 c. M: 0.8282 c. 389: 46 51 60 71 93 15 53 N SD: 0.4746 c. M: 0.8583 c. 406: 48 53 63 74 97 16 55 N SD: 0.4022 c. M: 0.8458 c. 413: 49 54 64 75 99 16 56 N SD: 0.4311 c. M:-0.9196 c. 433: 51 57 67 79 103 17 59 N SD: 0.4880 c. M: 0.7969 c. 440: 52 58 68 80 105 17 60 N SD: 0.4764 c. M: 0.9229 c. 442: 52 58 69 80 106 17 60 N SD: 0.5243 c. M:-0.7958 c. 450: 53 59 70 82 107 18 61 N SD: 0.4895 c. M: 0.8211 c. 452: 53 60 70 82 108 18 61 N SD: 0.5407 c. M:-0.7666 c. 457: 54 60 71 83 109 18 62 N SD: 0.3156 c. M:-0.5998 c. 502: 59 66 78 91 120 20 68 N SD: 0.3899 c. M: 0.5632 c. 509: 60 67 79 92 122 20 69 N SD: 0.3409 c. M: 0.7603 c. 510: 60 67 79 93 122 20 69 N SD: 0.3702 c. M: 0.5444 c. 561: 66 74 87 102 134 22 76 N SD: 0.2640 c. M:-0.4290 c. 618: 73 81 96 112 148 24 84 N SD: 0.2937 c. M: 0.4017 c. 670: 79 88 104 122 160 26 91 N SD: 0.2903 c. M:-0.5663 c. 686: 81 90 106 125 164 27 93 N SD: 0.2746 c. M: 0.6289 c. 722: 85 95 112 131 173 28 98 N SD: 0.2310 c. M:-0.4273 c. 737: 87 97 114 134 176 29 100 N SD: 0.1457 c. M:-0.2250 c. 841: 99 111 130 153 201 33 114 N SD: 0.1435 c. M:-0.2753 c. 1034: 122 136 160 188 247 41 140 N SD: 0.1350 c. M:-0.2377 c. 1239: 146 163 192 225 296 49 168 N SD: 0.1448 c. M: 0.3239 c. 1247: 147 164 193 227 298 49 169 N SD: 0.0976 c. M: 0.1730 c. 1452: 171 191 225 264 347 57 197 N SD: 0.1016 c. M: 0.1944 c. 1459: 172 192 226 265 349 57 198 N SD: 0.0831 c. M: 0.1378 c. 1756: 207 231 272 319 420 69 238 N SD: 0.0612 c. M: 0.1252 c. 1984: 234 261 307 361 474 78 269 N SD: 0.0658 c. M:-0.1131 c. 2189: 258 288 339 398 523 86 297 N SD: 0.0623 c. M: 0.1133 c. 2300: 271 303 356 418 550 90 312 N SD: 0.0695 c. M:-0.1103 c. 2317: 273 305 359 421 554 91 314 N SD: 0.0675 c. M:-0.1056 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: 0.6797 cents 3 x x 4 x 5 x 6 S SD: 35.5251 cents 4 x 5 x 6:7 x 8 S SD: 22.3835 cents 5 x 6:7:8 x 9:10 S SD: 29.8721 cents 6 x 7:8:9 x 11:12 SD: 7.4009 cents 7 x 8:9:11:12:13:14 SD: 22.2767 cents 8:9:10:11:12:14:15:16 S SD: 19.6349 cents 9:10:11:12:14:16 x 18 S SD: 14.8888 cents 10:11:12:13:15 x 18:20 SD: 7.7598 cents 12:13:14:16:18:21:22:24 S SD: 6.1154 cents 14:15:17:19:21:25 x 28 SD: 10.4311 cents 15:16:18:20:23 x 27:30 SD: 9.2011 cents 16:17:19:21:24:28:29:32 SD: 6.4823 cents 21:23:25:28:32:37:38:42 SD: 5.1576 cents 22:24:26:29:33:39:40:44 SD: 2.2292 cents 48:52:57:64:72:85:87:96 SD: 2.2099 cents 56:61:67:74:84:99:102:112 SD: 1.9731 cents 58:63:69:77:87:103:106:116 SD: 1.4005 cents 68:74:81:90:102:120:124:136 SD: 1.3780 cents 74:80:88:98:111:131:135:148 SD: 1.1071 cents 80:87:95:106:120:142:146:160 SD: 1.0251 cents 84:91:100:111:126:149:153:168 SD: 0.7595 cents 96:104:114:127:144:170:175:192 SD: 0.6339 cents 106:115:126:140:159:188:193:212 SD: 0.6059 cents 154:167:183:204:231:273:280:308 SD: 0.5035 cents 176:191:209:233:264:312:320:352 SD: 0.4919 cents 189:205:225:250:284:335:344:378 SD: 0.4795 cents 201:218:239:266:302:356:366:402 SD: 0.2721 cents 223:242:265:295:335:395:406:446 SD: 0.2328 cents 307:333:365:406:461:544:559:614 SD: 0.2316 cents 328:356:390:434:492:581:597:656 SD: 0.2291 cents 355:385:422:470:533:629:646:710 SD: 0.2115 cents 377:409:448:499:566:668:686:754 SD: 0.1762 cents 435:472:517:576:653:771:792:870 SD: 0.1727 cents 445:483:529:589:668:788:810:890 SD: 0.1503 cents 529:574:629:700:794:937:963:1058 SD: 0.1017 cents