Scala analysis: CD11_20_Iraq
Suite - Ensemble de Muhammad Al-Qubbbânjî (mansuri, Iraq)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 357.007 cents 357.006740 2: 566.107 cents 566.107234 3: 852.931 cents 852.930837 4: 1057.066 cents 1057.066204 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 142.9338 cents 142.9338 1: 357.0067 cents 357.0067 2: 209.1005 cents 209.1005 3: 286.8236 cents 286.8236 4: 204.1354 cents 204.1354 5: 142.9338 cents 142.9338
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 142.93380 cents 1: 1 204.13537 cents 1: 1 209.10049 cents 1: 1 286.82360 cents 1: 1 357.00674 cents 2: 1 347.06916 cents 2: 1 490.95897 cents 2: 1 495.92410 cents 2: 1 499.94054 cents 2: 1 566.10723 cents 3: 1 633.89277 cents 3: 1 700.05946 cents 3: 1 704.07590 cents 3: 1 709.04103 cents 3: 1 852.93084 cents 4: 1 842.99326 cents 4: 1 913.17640 cents 4: 1 990.89951 cents 4: 1 995.86463 cents 4: 1 1057.06620 cents Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 5.00000 = 5
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 0.0 : 357.0 566.1 852.9 1057.1 1200.0 357.0 : 209.1 495.9 700.1 843.0 1200.0 566.1 : 286.8 491.0 633.9 990.9 1200.0 852.9 : 204.1 347.1 704.1 913.2 1200.0 1057.1: 142.9 499.9 709.0 995.9 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 142.9338 .. 357.0067 cents 214.07294 cents 142.93380 cents 2: 347.0692 .. 566.1072 cents 219.03807 cents -9.93758 cents 3: 633.8928 .. 852.9308 cents 219.03807 cents 67.78553 cents 4: 842.9933 .. 1057.0662 cents 214.07294 cents -9.93758 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 142.93380 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 357.00674 cents Average / Smallest step : 1.679099 Largest / Average step : 1.487528 Largest / Smallest step : 2.497707 Median interval of one step : 209.10049 cents, amount: 1 Least squares average step : 259.56870 cents, oct.: 1297.84350 cents Scale is not proper Step pattern alph. order: ABCDE Step pattern size order : ECDBA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 9.93758 cents Scale diversity : 1.558322 Lumma stability : 0.294711 Lumma impropriety factor : 0.016563 Rothenberg efficiency : 0.400000 redundancy: 0.600000 Efficiency x scale size : 2.000000 Number of different interval sizes : 20 = 5.00000 / class Number of one step interval sizes : 5 Highest interval variety : 5 Mean interval variety : 5.00000 = 5 Median interval variety : 5 Lowest interval variety : 5 Smallest interval difference : 4.01644 cents Number of recognisable fifths : 3, average 704.3921 cents Formal octave complements present : 1 = 20.0000% -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 98.1809 c. M: 132.9308 c. 6: 2 1 1 1 1 P M ME S SD: 42.5567 c. M: 57.0662 c. 7: 2 1 2 1 1 P M ME S SD: 27.2594 c. M: 51.8215 c. Thai mode 3 10: 3 2 2 2 1 P T3 SD: 19.2398 c. M:-33.8928 c. 11: 3 2 3 2 1 P T3 SD: 23.8658 c. M:-33.8429 c. 13: 4 2 3 2 2 P T3 SD: 22.4867 c. M: 41.6816 c. 14: 4 3 3 2 2 P SD: 20.8740 c. M:-33.8928 c. 17: 5 3 4 3 2 P SD: 3.3485 c. M: 5.8720 c. 70: 21 12 17 12 8 N SD: 3.4753 c. M:-5.7909 c. 74: 22 13 18 12 9 N SD: 3.2830 c. M:-6.5286 c. 76: 23 13 18 13 9 N SD: 2.9653 c. M:-6.1512 c. 77: 23 13 19 13 9 N SD: 3.2446 c. M: 5.0683 c. 83: 25 14 20 14 10 N SD: 2.3446 c. M:-4.4390 c. 87: 26 15 21 15 10 N SD: 2.5692 c. M:-5.0028 c. 91: 27 16 22 15 11 N SD: 2.1920 c. M:-4.2120 c. 93: 28 16 22 16 11 N SD: 2.1797 c. M:-4.2836 c. 100: 30 17 24 17 12 N SD: 1.7552 c. M:-2.9933 c. 108: 32 19 26 18 13 N SD: 1.5225 c. M:-2.6247 c. 117: 35 20 28 20 14 N SD: 1.4859 c. M: 2.0047 c. 125: 37 22 30 21 15 N SD: 1.1528 c. M: 1.8067 c. 142: 42 25 34 24 17 N SD: 1.0199 c. M: 2.0772 c. 159: 47 28 38 27 19 N SD: 1.0461 c. M: 2.2898 c. 184: 55 32 44 31 22 N SD: 1.1667 c. M:-1.6889 c. 191: 57 33 46 32 23 N SD: 1.1346 c. M: 1.5688 c. 201: 60 35 48 34 24 N SD: 0.8156 c. M:-1.2022 c. 218: 65 38 52 37 26 N SD: 0.5455 c. M:-0.8652 c. 235: 70 41 56 40 28 N SD: 0.3781 c. M:-0.7013 c. 252: 75 44 60 43 30 N SD: 0.3577 c. M:-0.5594 c. 377: 112 66 90 64 45 N SD: 0.3422 c. M: 0.5081 c. 460: 137 80 110 78 55 N SD: 0.3025 c. M: 0.5445 c. 477: 142 83 114 81 57 N SD: 0.2366 c. M: 0.4624 c. 494: 147 86 118 84 59 N SD: 0.2272 c. M: 0.3860 c. 689: 205 120 165 117 82 N SD: 0.2237 c. M:-0.4799 c. 706: 210 123 169 120 84 N SD: 0.1711 c. M:-0.3270 c. 712: 212 124 170 121 85 N SD: 0.2202 c. M: 0.3246 c. 723: 215 126 173 123 86 N SD: 0.1511 c. M:-0.1952 c. 924: 275 161 221 157 110 N SD: 0.1675 c. M:-0.3159 c. 941: 280 164 225 160 112 N SD: 0.1154 c. M:-0.2041 c. 958: 285 167 229 163 114 N SD: 0.0815 c. M:-0.1363 c. 1200: 357 209 287 204 143 N SD: 0.0644 c. M: 0.1072 c. 1217: 362 212 291 207 145 N SD: 0.0657 c. M: 0.1253 c. 1435: 427 250 343 244 171 N SD: 0.0446 c. M:-0.0664 c. 1452: 432 253 347 247 173 N SD: 0.0267 c. M: 0.0414 c. 2175: 647 379 520 370 259 N SD: 0.0339 c. M: 0.0412 c. 2393: 712 417 572 407 285 N SD: 0.0366 c. M:-0.0570 c.
FIT/HARMONIC
1 x x x x 2 S SD: 0.0000 cents 2 x 3 x x 4 S SD: 67.9239 cents 3 x 4:5 x 6 S SD: 24.9893 cents 4:5:6 x 7:8 S SD: 41.1551 cents 5:6:7:8:9:10 H SD: 14.2523 cents 8:10:11:13:15:16 SD: 9.3916 cents 13:16:18:21:24:26 SD: 4.6767 cents 25:31:35:41:46:50 SD: 4.5634 cents 26:32:36:43:48:52 SD: 3.7877 cents 31:38:43:51:57:62 SD: 2.0745 cents 39:48:54:64:72:78 SD: 1.4637 cents 44:54:61:72:81:88 SD: 0.5206 cents 127:156:176:208:234:254 SD: 0.4310 cents 171:210:237:280:315:342 SD: 0.3895 cents 196:241:272:321:361:392 SD: 0.3722 cents 201:247:279:329:370:402 SD: 0.3467 cents 209:257:290:342:385:418 SD: 0.2945 cents 240:295:333:393:442:480 SD: 0.2515 cents 253:311:351:414:466:506 SD: 0.1827 cents 297:365:412:486:547:594 SD: 0.1318 cents 341:419:473:558:628:682 SD: 0.1304 cents 380:467:527:622:700:760 SD: 0.1192 cents 424:521:588:694:781:848 SD: 0.1146 cents