Scala analysis: CD10_13_Egypt
Psaume de la tristesse / Ariba Mavi - Mîkhâ'îl Jirjis al-Batânûnî (unknown maqam, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 117.367 cents 117.367367 2: 259.129 cents 259.128908 3: 513.157 cents 513.156812 4: 854.662 cents 854.661784 5: 984.509 cents 984.509375 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 215.4906 cents 215.4906 1: 117.3674 cents 117.3674 2: 141.7615 cents 141.7615 3: 254.0279 cents 254.0279 4: 341.5050 cents 341.5050 5: 129.8476 cents 129.8476 6: 215.4906 cents 215.4906
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 117.36737 cents 1: 1 129.84759 cents 1: 1 141.76154 cents 1: 1 215.49062 cents 1: 1 254.02790 cents 1: 1 341.50497 cents 2: 1 259.12891 cents 2: 1 332.85799 cents 2: 1 345.33822 cents 2: 1 395.78945 cents 2: 1 471.35256 cents 2: 1 595.53288 cents 3: 1 462.70558 cents 3: 1 474.61953 cents 3: 1 513.15681 cents 3: 1 686.84319 cents 3: 1 725.38047 cents 3: 1 737.29442 cents 4: 1 604.46712 cents 4: 1 728.64744 cents 4: 1 804.21055 cents 4: 1 854.66178 cents 4: 1 867.14201 cents 4: 1 940.87109 cents 5: 1 858.49503 cents 5: 1 945.97210 cents 5: 1 984.50938 cents 5: 1 1058.23846 cents 5: 1 1070.15241 cents 5: 1 1082.63263 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 : 117.4 259.1 513.2 854.7 984.5 1200.0 117.4 : 141.8 395.8 737.3 867.1 1082.6 1200.0 259.1 : 254.0 595.5 725.4 940.9 1058.2 1200.0 513.2 : 341.5 471.4 686.8 804.2 946.0 1200.0 854.7 : 129.8 345.3 462.7 604.5 858.5 1200.0 984.5 : 215.5 332.9 474.6 728.6 1070.2 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 117.3674 .. 341.5050 cents 224.13761 cents 117.36737 cents 2: 259.1289 .. 595.5329 cents 336.40397 cents -82.37606 cents 3: 462.7056 .. 737.2944 cents 274.58883 cents -132.82729 cents 4: 604.4671 .. 940.8711 cents 336.40397 cents -132.82729 cents 5: 858.4950 .. 1082.6326 cents 224.13761 cents -82.37606 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 117.36737 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 341.50497 cents Average / Smallest step : 1.704051 Largest / Average step : 1.707525 Largest / Smallest step : 2.909710 Median interval of one step : 178.62608 cents, amount: 0 Least squares average step : 194.68450 cents, oct.: 1168.10701 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : ACEFBD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 3.26697 cents Scale diversity : 1.586386 Lumma stability : 0.195612 Lumma impropriety factor : 0.358672 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 : 3.26697 cents Number of recognisable fifths : 1, average 686.8432 cents Number of appreciable fifths : 0 Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 0 1 1 2 1 1 N D3 SD: 74.5024 c. M: 117.3674 c. 7: 1 1 1 2 1 1 P M ME SD: 44.5008 c. M:-83.7282 c. 9: 1 1 2 2 1 2 P D3 SD: 32.4698 c. M: 54.6618 c. 10: 1 1 2 3 1 2 N SD: 19.5273 c. M: 33.1568 c. 17: 2 2 3 5 2 3 N SD: 16.0229 c. M:-23.8091 c. 18: 2 2 4 5 2 3 N SD: 13.5579 c. M:-20.1765 c. 21: 2 3 4 6 2 4 N SD: 12.2121 c. M:-26.5854 c. 23: 2 3 5 6 3 4 N SD: 10.7047 c. M: 19.8792 c. 24: 2 3 5 7 3 4 N SD: 11.6887 c. M: 17.3674 c. 28: 3 3 6 8 3 5 N SD: 4.8020 c. M:-11.2041 c. 38: 4 4 8 11 4 7 N SD: 6.0506 c. M:-8.9484 c. 42: 4 5 9 12 4 8 N SD: 5.6565 c. M: 13.0808 c. 49: 5 6 10 14 5 9 N SD: 5.2070 c. M:-10.2588 c. 51: 5 6 11 14 6 9 N SD: 3.9162 c. M: 7.6030 c. 60: 6 7 13 17 6 11 N SD: 4.1503 c. M:-6.8432 c. 61: 6 7 13 17 7 11 N SD: 3.9227 c. M: 8.7601 c. 65: 6 8 14 18 7 12 N SD: 4.5504 c. M: 6.5981 c. 66: 6 8 14 19 7 12 N SD: 4.3454 c. M: 8.2765 c. 70: 7 8 15 20 7 13 N SD: 3.4778 c. M: 7.3665 c. 73: 7 9 15 21 8 13 N SD: 2.4608 c. M:-3.8848 c. 84: 8 10 18 24 9 15 N SD: 1.9289 c. M: 3.0817 c. 94: 9 11 20 27 10 17 N SD: 2.2268 c. M: 3.8098 c. 101: 10 12 21 29 11 18 N SD: 1.6116 c. M: 2.2657 c. 112: 11 13 24 32 12 20 N SD: 1.4757 c. M:-2.4811 c. 133: 13 16 28 38 14 24 N SD: 1.5767 c. M:-2.5252 c. 143: 14 17 30 41 15 26 N SD: 1.3863 c. M: 2.6912 c. 145: 14 17 31 41 16 26 N SD: 1.5311 c. M: 2.5772 c. 152: 15 18 32 43 17 27 N SD: 1.4507 c. M:-2.3327 c. 161: 16 19 34 46 17 29 N SD: 1.5522 c. M:-2.4811 c. 162: 16 19 34 46 18 29 N SD: 1.5209 c. M: 2.8099 c. 163: 16 19 35 46 18 29 N SD: 1.3842 c. M:-2.1806 c. 166: 16 20 35 47 18 30 N SD: 1.2089 c. M: 1.7047 c. 184: 18 22 39 52 20 33 N SD: 1.1143 c. M:-2.0606 c. 185: 18 22 39 53 20 33 N SD: 0.9563 c. M:-1.5544 c. 194: 19 23 41 55 21 35 N SD: 0.6640 c. M: 1.0535 c. 246: 24 29 52 70 27 44 N SD: 0.7191 c. M: 1.0032 c. 274: 27 32 58 78 30 49 N SD: 0.7176 c. M:-0.8921 c. 278: 27 33 59 79 30 50 N SD: 0.4219 c. M: 0.8206 c. 306: 30 36 65 87 33 55 N SD: 0.3138 c. M:-0.5687 c. 379: 37 45 80 108 41 68 N SD: 0.2689 c. M:-0.5017 c. 552: 54 65 117 157 60 99 N SD: 0.2498 c. M: 0.4333 c. 657: 64 78 139 187 71 118 N SD: 0.2247 c. M: 0.4724 c. 667: 65 79 141 190 72 120 N SD: 0.2957 c. M: 0.4258 c. 685: 67 81 145 195 74 123 N SD: 0.1217 c. M:-0.2287 c. 1125: 110 133 238 320 122 202 N SD: 0.1179 c. M: 0.2618 c. 1209: 118 143 256 344 131 217 N SD: 0.1168 c. M: 0.2458 c. 1237: 121 146 262 352 134 222 N SD: 0.0721 c. M:-0.1309 c. 1431: 140 169 303 407 155 257 N SD: 0.0685 c. M: 0.1544 c. 1616: 158 191 342 460 175 290 N SD: 0.0664 c. M:-0.1441 c. 1709: 167 202 362 486 185 307 N SD: 0.0909 c. M: 0.1270 c. 1737: 170 205 368 494 188 312 N SD: 0.0815 c. M:-0.1420 c. 1810: 177 214 383 515 196 325 N SD: 0.0520 c. M:-0.0976 c. 1922: 188 227 407 547 208 345 N SD: 0.0540 c. M:-0.0900 c. 2116: 207 250 448 602 229 380 N SD: 0.0385 c. M:-0.0757 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 76.3534 cents 3 x x 4:5 x 6 S SD: 11.1069 cents 4 x x 5 x 7:8 SD: 42.6030 cents 5 x 6:7:8:9:10 S SD: 20.7630 cents 6 x 7:8:10:11:12 S SD: 14.6645 cents 7 x 8:9:11:12:14 SD: 24.2695 cents 8 x 9:11:13:14:16 SD: 14.0729 cents 9:10 x 12:15:16:18 S SD: 14.7974 cents 11:12:13:15:18:19:22 SD: 10.6068 cents 12:13:14:16:20:21:24 S SD: 7.1992 cents 14:15:16:19:23:25:28 SD: 6.2851 cents 17:18:20:23:28:30:34 SD: 5.3299 cents 25:27:29:34:41:44:50 SD: 4.2855 cents 26:28:30:35:43:46:52 SD: 3.8311 cents 30:32:35:40:49:53:60 SD: 3.1112 cents 38:41:44:51:62:67:76 SD: 2.8961 cents 43:46:50:58:70:76:86 SD: 2.0576 cents 44:47:51:59:72:78:88 SD: 1.6609 cents 55:59:64:74:90:97:110 SD: 1.0212 cents 86:92:100:116:141:152:172 SD: 0.9455 cents 99:106:115:133:162:175:198 SD: 0.5844 cents 142:152:165:191:233:251:284 SD: 0.5426 cents 174:186:202:234:285:307:348 SD: 0.4366 cents 185:198:215:249:303:327:370 SD: 0.3871 cents 229:245:266:308:375:404:458 SD: 0.3239 cents 243:260:282:327:398:429:486 SD: 0.3053 cents 273:292:317:367:447:482:546 SD: 0.2855 cents 298:319:346:401:488:526:596 SD: 0.2633 cents 316:338:367:425:518:558:632 SD: 0.2171 cents 354:379:411:476:580:625:708 SD: 0.2000 cents 359:384:417:483:588:634:718 SD: 0.1793 cents 371:397:431:499:608:655:742 SD: 0.1304 cents 470:503:546:632:770:830:940 SD: 0.0967 cents