Scala analysis: CD12_19_Iraq
Ami, ma tribu me bat Froid - Ensemble de Muhammad Al-Qubbbânjî (unknown maqam, Iraq)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 213.508 cents 213.508245 2: 275.345 cents 275.344700 3: 484.360 cents 484.359738 4: 704.952 cents 704.951870 5: 824.923 cents 824.922956 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 375.0770 cents 375.0770 1: 213.5082 cents 213.5082 2: 61.8365 cents 61.8365 3: 209.0150 cents 209.0150 4: 220.5921 cents 220.5921 5: 119.9711 cents 119.9711 6: 375.0770 cents 375.0770
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 61.83646 cents 1: 1 119.97109 cents 1: 1 209.01504 cents 1: 1 213.50824 cents 1: 1 220.59213 cents 1: 1 375.07704 cents 2: 1 270.85149 cents 2: 1 275.34470 cents 2: 1 340.56322 cents 2: 1 429.60717 cents 2: 1 495.04813 cents 2: 1 588.58529 cents 3: 1 484.35974 cents 3: 1 491.44363 cents 3: 1 549.57826 cents 3: 1 650.42174 cents 3: 1 708.55637 cents 3: 1 715.64026 cents 4: 1 611.41471 cents 4: 1 704.95187 cents 4: 1 770.39283 cents 4: 1 859.43678 cents 4: 1 924.65530 cents 4: 1 929.14851 cents 5: 1 824.92296 cents 5: 1 979.40787 cents 5: 1 986.49176 cents 5: 1 990.98496 cents 5: 1 1080.02891 cents 5: 1 1138.16354 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 6.00000 = 6
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 0.0 : 213.5 275.3 484.4 705.0 824.9 1200.0 213.5 : 61.8 270.9 491.4 611.4 986.5 1200.0 275.3 : 209.0 429.6 549.6 924.7 1138.2 1200.0 484.4 : 220.6 340.6 715.6 929.1 991.0 1200.0 705.0 : 120.0 495.0 708.6 770.4 979.4 1200.0 824.9 : 375.1 588.6 650.4 859.4 1080.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 61.8365 .. 375.0770 cents 313.24059 cents 61.83646 cents 2: 270.8515 .. 588.5853 cents 317.73380 cents -104.22555 cents 3: 484.3597 .. 715.6403 cents 231.28052 cents -104.22555 cents 4: 611.4147 .. 929.1485 cents 317.73380 cents -104.22555 cents 5: 824.9230 .. 1138.1635 cents 313.24059 cents -104.22555 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 61.83646 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 375.07704 cents Average / Smallest step : 3.234338 Largest / Average step : 1.875385 Largest / Smallest step : 6.065630 Median interval of one step : 211.26164 cents, amount: 0 Least squares average step : 179.79889 cents, oct.: 1078.79335 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : DACEBF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 3.60450 cents Scale diversity : 1.704119 Lumma stability : 0.103061 Lumma impropriety factor : 0.347419 Rothenberg efficiency : 0.333333 redundancy: 0.666667 Efficiency x scale size : 2.000000 Number of different interval sizes : 30 = 6.00000 / class Number of one step interval sizes : 6 Highest interval variety : 6 Mean interval variety : 6.00000 = 6 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 3.60450 cents Number of recognisable fifths : 3, average 709.7162 cents Number of appreciable fifths : 2, average 706.7541 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 1 0 1 1 1 2 N T3 SD: 64.0467 c. M: 104.9519 c. 7: 1 1 1 1 1 2 P M ME SD: 37.9306 c. M:-67.5124 c. 10: 2 0 2 2 1 3 N SD: 20.0991 c. M: 35.3447 c. 12: 2 1 2 2 1 4 N SD: 16.7364 c. M: 24.9230 c. Raga Adi Bhairavi 17: 3 1 3 3 2 5 N SD: 10.3137 c. M:-22.1359 c. 22: 4 1 4 4 2 7 N SD: 4.7287 c. M: 6.7411 c. 39: 7 2 7 7 4 12 N SD: 4.2987 c. M:-7.9480 c. 60: 11 3 10 11 6 19 N SD: 4.6829 c. M:-6.4918 c. 61: 11 3 11 11 6 19 N SD: 3.5583 c. M:-7.4435 c. 71: 13 3 13 13 7 22 N SD: 4.6696 c. M:-6.2101 c. 73: 13 4 12 14 7 23 N SD: 3.8302 c. M: 7.6474 c. 74: 13 4 13 13 8 23 N SD: 3.5338 c. M: 7.6546 c. 77: 14 4 13 14 8 24 N SD: 3.2817 c. M:-5.1748 c. 80: 14 4 14 15 8 25 N SD: 3.1594 c. M: 5.3447 c. 84: 15 4 15 15 9 26 N SD: 3.0443 c. M: 4.9519 c. 90: 16 5 15 17 9 28 N SD: 2.7896 c. M:-4.6553 c. 92: 16 5 16 17 9 29 N SD: 2.5423 c. M: 4.8126 c. 95: 17 5 16 18 9 30 N SD: 2.8237 c. M: 4.3597 c. 96: 17 5 17 17 10 30 N SD: 2.4332 c. M: 4.9519 c. 97: 17 5 17 18 10 30 N SD: 2.5654 c. M:-3.9430 c. 99: 18 5 17 18 10 31 N SD: 2.5197 c. M:-4.6736 c. 102: 18 5 18 19 10 32 N SD: 2.3273 c. M: 4.7565 c. 106: 19 5 19 19 11 33 N SD: 2.3577 c. M: 3.6466 c. 109: 19 6 19 20 11 34 N SD: 1.8035 c. M: 4.3339 c. 112: 20 6 19 21 11 35 N SD: 1.8591 c. M:-3.2267 c. 114: 20 6 20 21 11 36 N SD: 2.1114 c. M: 3.8703 c. 119: 21 6 21 22 12 37 N SD: 1.7002 c. M: 3.0758 c. 131: 23 7 23 24 13 41 N SD: 1.2869 c. M: 2.8212 c. 134: 24 7 23 25 13 42 N SD: 1.5887 c. M:-2.5108 c. 141: 25 7 25 26 14 44 N SD: 1.4464 c. M: 3.0043 c. 151: 27 8 26 28 15 47 N SD: 1.6851 c. M:-2.8010 c. 153: 27 8 27 28 15 48 N SD: 1.3045 c. M:-1.9148 c. 179: 32 9 31 33 18 56 N SD: 0.9386 c. M: 1.6782 c. 196: 35 10 34 36 20 61 N SD: 0.8607 c. M:-1.6077 c. 201: 36 10 35 37 20 63 N SD: 0.8602 c. M:-1.4171 c. 208: 37 11 36 38 21 65 N SD: 0.7945 c. M:-1.5784 c. 218: 39 11 38 40 22 68 N SD: 0.5922 c. M:-1.1707 c. 288: 51 15 50 53 29 90 N SD: 0.6845 c. M: 1.0264 c. 310: 55 16 54 57 31 97 N SD: 0.4502 c. M: 0.6050 c. 327: 58 17 57 60 33 102 N SD: 0.4425 c. M:-0.7651 c. 349: 62 18 61 64 35 109 N SD: 0.2828 c. M:-0.4540 c. 528: 94 27 92 97 53 165 N SD: 0.2512 c. M: 0.4064 c. 550: 98 28 96 101 55 172 N SD: 0.2499 c. M: 0.4356 c. 659: 117 34 115 121 66 206 N SD: 0.2643 c. M: 0.4582 c. 662: 118 34 115 122 66 207 N SD: 0.2516 c. M:-0.3890 c. 701: 125 36 122 129 70 219 N SD: 0.2707 c. M:-0.4718 c. 736: 131 38 128 135 74 230 N SD: 0.2680 c. M: 0.6040 c. 758: 135 39 132 139 76 237 N SD: 0.2222 c. M: 0.4664 c. 771: 137 40 134 142 77 241 N SD: 0.1860 c. M: 0.3130 c. 793: 141 41 138 146 79 248 N SD: 0.1470 c. M:-0.2184 c. 989: 176 51 172 182 99 309 N SD: 0.1206 c. M: 0.2344 c. 1011: 180 52 176 186 101 316 N SD: 0.0784 c. M:-0.1416 c. 1360: 242 70 237 250 136 425 N SD: 0.0482 c. M:-0.0770 c. 2371: 422 122 413 436 237 741 N SD: 0.0451 c. M:-0.0725 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 1.4984 cents 3 x x 4 x 5:6 S SD: 20.3303 cents 4 x x 5:6 x 8 S SD: 32.6973 cents 5 x 6:7 x 8:10 S SD: 26.6739 cents 6 x 7:8:9:10:12 S SD: 12.3299 cents 7:8 x 9 x 11:14 SD: 16.8459 cents 8:9 x 11:12:13:16 SD: 13.8968 cents 10:11:12:13:15:16:20 SD: 11.8092 cents 12 x 14:16:18:19:24 SD: 6.7242 cents 13 x 15:17:20:21:26 SD: 10.6866 cents 14:16 x 19:21:23:28 SD: 11.7949 cents 15:17:18:20:23:24:30 SD: 9.3930 cents 16:18:19:21:24:26:32 SD: 5.3240 cents 20:23 x 26:30:32:40 SD: 8.6106 cents 21:24:25:28:32:34:42 SD: 7.2192 cents 22:25:26:29:33:35:44 SD: 4.5478 cents 24:27:28:32:36:39:48 SD: 4.0951 cents 28:32:33:37:42:45:56 SD: 3.4146 cents 30:34:35:40:45:48:60 SD: 3.3518 cents 36:41:42:48:54:58:72 SD: 3.3508 cents 40:45:47:53:60:64:80 SD: 2.6363 cents 46:52:54:61:69:74:92 SD: 1.0152 cents 93:105:109:123:140:150:186 SD: 0.9023 cents 105:119:123:139:158:169:210 SD: 0.7615 cents 115:130:135:152:173:185:230 SD: 0.6702 cents 121:137:142:160:182:195:242 SD: 0.5347 cents 167:189:196:221:251:269:334 SD: 0.3662 cents 244:276:286:323:367:393:488 SD: 0.3621 cents 251:284:294:332:377:404:502 SD: 0.3336 cents 267:302:313:353:401:430:534 SD: 0.2192 cents 313:354:367:414:470:504:626 SD: 0.2119 cents 372:421:436:492:559:599:744 SD: 0.1617 cents 418:473:490:553:628:673:836 SD: 0.1220 cents 511:578:599:676:768:823:1022 SD: 0.0910 cents 557:630:653:737:837:897:1114 SD: 0.0890 cents