Scala analysis: CD16_11_Morocco
Mon regard ne se tourne vers nulle autre beauté - L'ensemble de 'Umar Fâ'id Al-Ju'aydî (ushshaq, Morocco)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 229.721 cents 229.721322 2: 425.122 cents 425.122351 3: 510.145 cents 510.145475 4: 713.144 cents 713.144056 5: 914.996 cents 914.995632 6: 1019.201 cents 1019.201094 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 180.7989 cents 180.7989 1: 229.7213 cents 229.7213 2: 195.4010 cents 195.4010 3: 85.0231 cents 85.0231 4: 202.9986 cents 202.9986 5: 201.8516 cents 201.8516 6: 104.2055 cents 104.2055 7: 180.7989 cents 180.7989
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 85.02312 cents 1: 1 104.20546 cents 1: 1 180.79891 cents 1: 1 195.40103 cents 1: 1 201.85158 cents 1: 1 202.99858 cents 1: 1 229.72132 cents 2: 1 280.42415 cents 2: 1 285.00437 cents 2: 1 288.02171 cents 2: 1 306.05704 cents 2: 1 404.85016 cents 2: 1 410.52023 cents 2: 1 425.12235 cents 3: 1 483.42273 cents 3: 1 486.85594 cents 3: 1 489.87328 cents 3: 1 509.05562 cents 3: 1 510.14547 cents 3: 1 514.72569 cents 3: 1 605.92126 cents 4: 1 594.07874 cents 4: 1 685.27431 cents 4: 1 689.85452 cents 4: 1 690.94438 cents 4: 1 710.12672 cents 4: 1 713.14406 cents 4: 1 716.57727 cents 5: 1 774.87765 cents 5: 1 789.47977 cents 5: 1 795.14984 cents 5: 1 893.94296 cents 5: 1 911.97830 cents 5: 1 914.99563 cents 5: 1 919.57585 cents 6: 1 970.27868 cents 6: 1 997.00142 cents 6: 1 998.14842 cents 6: 1 1004.59897 cents 6: 1 1019.20109 cents 6: 1 1095.79454 cents 6: 1 1114.97688 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 : 229.7 425.1 510.1 713.1 915.0 1019.2 1200.0 229.7 : 195.4 280.4 483.4 685.3 789.5 970.3 1200.0 425.1 : 85.0 288.0 489.9 594.1 774.9 1004.6 1200.0 510.1 : 203.0 404.9 509.1 689.9 919.6 1115.0 1200.0 713.1 : 201.9 306.1 486.9 716.6 912.0 997.0 1200.0 915.0 : 104.2 285.0 514.7 710.1 795.1 998.1 1200.0 1019.2: 180.8 410.5 605.9 690.9 893.9 1095.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 85.0231 .. 229.7213 cents 144.69820 cents 85.02312 cents 2: 280.4242 .. 425.1224 cents 144.69820 cents 50.70283 cents 3: 483.4227 .. 605.9213 cents 122.49852 cents 58.30038 cents 4: 594.0787 .. 716.5773 cents 122.49852 cents -11.84251 cents 5: 774.8776 .. 919.5758 cents 144.69820 cents 58.30038 cents 6: 970.2787 .. 1114.9769 cents 144.69820 cents 50.70283 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 85.02312 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 229.72132 cents Average / Smallest step : 2.016258 Largest / Average step : 1.340041 Largest / Smallest step : 2.701869 Median interval of one step : 195.40103 cents, amount: 1 Least squares average step : 175.37974 cents, oct.: 1227.65817 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : GDAFEBC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 11.84251 cents Scale diversity : 1.517945 Lumma stability : 0.323377 Lumma impropriety factor : 0.009869 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 : 1.08986 cents Number of recognisable fifths : 5, average 704.1294 cents Number of appreciable fifths : 4, average 701.0174 cents Formal octave complements present : 1 = 14.2857% Limited inverse transpositions with margin 144.6982 cents: 1 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 45.3083 c. M: 82.2652 c. Lebeng 8: 2 1 0 2 1 1 1 N D3 SD: 40.8958 c. M:-70.2787 c. 9: 2 1 1 1 2 1 1 P M ME S SD: 32.2560 c. M:-47.4656 c. 10: 2 2 0 2 2 1 1 P D3 S SD: 37.4068 c. M:-60.7989 c. 12: 2 2 1 2 2 1 2 P M ME S SD: 18.4536 c. M: 29.7213 c. G.Hypophrygian, G.Ionian (Iastian), M.Mixolydian, G.M.Hypoionian, Hypermixolydian, Mischung 3, Khamaj That, Mela Harikambhoji, Raga Balahamsa, Bhim, Devamanohari, Harini, Janjhuti, Kaamaai, Khambhavati, Surati, Gregorian nr.7, Enharmonic Byzantine Liturgical, Rast descending: Greece, Ching, Shang: China 14: 3 2 1 2 3 1 2 P T3 SD: 18.5065 c. M:-27.8615 c. 17: 3 3 1 3 3 1 3 N M DE S SD: 15.1210 c. M: 30.9658 c. Safi al-Din's maqam `Ussaq 20: 4 3 2 3 3 2 3 P T3 S SD: 13.6051 c. M:-29.8545 c. 21: 4 3 2 3 4 2 3 SP T3 SD: 14.5911 c. M: 27.4298 c. 22: 4 4 1 4 4 2 3 P SD: 12.4858 c. M: 19.2364 c. 25: 5 4 2 4 4 2 4 N T3 S SD: 9.6598 c. M:-17.8545 c. 26: 5 4 2 4 5 2 4 P T3 SD: 9.3806 c. M: 20.8364 c. 28: 5 5 2 5 4 3 4 P SD: 10.8099 c. M: 15.4356 c. 30: 6 5 2 5 5 3 4 P SD: 11.5186 c. M:-20.7989 c. 33: 6 6 2 6 5 3 5 N SD: 8.4190 c. M:-14.1287 c. 37: 7 6 3 6 6 3 6 N T3 S SD: 6.9115 c. M: 13.7957 c. 42: 8 7 3 7 7 4 6 P SD: 4.1399 c. M:-9.3703 c. 47: 9 8 3 8 8 4 7 N SD: 3.8626 c. M:-8.9202 c. 51: 10 8 4 8 9 4 8 N SD: 5.4107 c. M:-7.5016 c. 52: 10 8 4 9 9 4 8 P S SD: 5.1663 c. M: 9.7377 c. 54: 10 9 4 9 9 5 8 P SD: 3.6631 c. M: 7.4991 c. 59: 11 10 4 10 10 5 9 N SD: 2.6582 c. M: 5.9925 c. 84: 16 14 6 14 14 7 13 N SD: 2.8367 c. M: 4.9154 c. 87: 17 14 6 15 14 8 13 N SD: 3.1490 c. M:-4.7614 c. 93: 18 15 7 15 16 8 14 N SD: 2.8292 c. M:-5.9836 c. 94: 18 15 7 16 16 8 14 P SD: 2.3801 c. M:-4.1533 c. 98: 19 16 7 16 17 8 15 N SD: 3.0685 c. M:-4.1402 c. 99: 19 16 7 17 16 9 15 N SD: 2.4541 c. M: 5.9047 c. 101: 19 17 7 17 17 9 15 N SD: 2.0669 c. M: 3.9787 c. 104: 20 17 7 18 17 9 16 N SD: 2.4465 c. M: 3.8165 c. 106: 20 18 7 18 18 9 16 N SD: 2.4249 c. M:-5.0663 c. 113: 22 18 8 19 19 10 17 N SD: 1.7433 c. M:-3.9070 c. 115: 22 19 8 19 20 10 17 N SD: 2.5003 c. M: 3.5788 c. 118: 23 19 8 20 20 10 18 N SD: 2.1044 c. M:-4.1770 c. 125: 24 20 9 21 21 11 19 N SD: 2.0266 c. M: 2.9956 c. 139: 27 22 10 24 23 12 21 N SD: 2.0089 c. M:-3.4027 c. 141: 27 23 10 24 24 12 21 N SD: 1.8911 c. M:-4.1533 c. 146: 28 24 10 25 24 13 22 N SD: 1.5341 c. M: 2.6669 c. 153: 29 25 11 26 26 13 23 N SD: 1.4805 c. M:-2.6514 c. 160: 31 26 11 27 27 14 24 N SD: 1.4367 c. M:-2.7787 c. 167: 32 27 12 28 28 15 25 N SD: 1.2951 c. M: 2.4208 c. 172: 33 28 12 29 29 15 26 N SD: 0.8387 c. M: 1.5161 c. 214: 41 35 15 36 36 19 32 N SD: 0.8399 c. M:-1.3597 c. 240: 46 39 17 41 40 21 36 N SD: 0.7743 c. M:-1.8559 c. 252: 48 41 18 43 42 22 38 N SD: 0.8671 c. M: 1.3128 c. 257: 49 42 18 44 43 22 39 N SD: 0.8974 c. M: 1.3023 c. 266: 51 43 19 45 45 23 40 N SD: 0.5699 c. M: 1.0622 c. 313: 60 51 22 53 53 27 47 N SD: 0.5858 c. M:-1.2983 c. 325: 62 53 23 55 55 28 49 N SD: 0.5402 c. M: 0.7982 c. 345: 66 56 25 58 58 30 52 N SD: 0.5382 c. M:-1.1589 c. 350: 67 57 25 59 59 30 53 N SD: 0.4679 c. M: 0.9154 c. 392: 75 64 28 66 66 34 59 N SD: 0.4594 c. M:-1.0790 c. 412: 79 67 29 70 69 36 62 N SD: 0.3341 c. M:-0.4482 c. 564: 108 92 40 95 95 49 85 N SD: 0.2856 c. M:-0.4928 c. 658: 126 107 47 111 111 57 99 N SD: 0.2955 c. M:-0.5059 c. 678: 130 110 48 115 114 59 102 N SD: 0.2707 c. M: 0.4110 c. 725: 139 118 51 123 122 63 109 N SD: 0.2961 c. M:-0.3851 c. 737: 141 120 52 125 124 64 111 N SD: 0.2123 c. M: 0.5118 c. 757: 145 123 54 128 127 66 114 N SD: 0.2210 c. M: 0.3325 c. 762: 146 124 54 129 128 66 115 N SD: 0.1713 c. M: 0.3035 c. 804: 154 131 57 136 135 70 121 N SD: 0.2071 c. M:-0.3023 c. 816: 156 133 58 138 137 71 123 N SD: 0.1821 c. M: 0.3096 c. 976: 187 159 69 165 164 85 147 N SD: 0.1666 c. M:-0.2875 c. 1028: 197 167 73 174 173 89 155 N SD: 0.1532 c. M:-0.2398 c. 1070: 205 174 76 181 180 93 161 N SD: 0.1473 c. M:-0.2382 c. 1082: 207 176 77 183 182 94 163 N SD: 0.1455 c. M: 0.3534 c. 1087: 208 177 77 184 183 94 164 N SD: 0.1362 c. M: 0.2499 c. 1129: 216 184 80 191 190 98 170 N SD: 0.0917 c. M:-0.1505 c. 1301: 249 212 92 220 219 113 196 N SD: 0.0760 c. M: 0.1540 c. 1886: 361 307 134 319 317 164 284 N SD: 0.0878 c. M:-0.1408 c. 1891: 362 308 134 320 318 164 285 N SD: 0.0676 c. M:-0.1293 c. 2058: 394 335 146 348 346 179 310 N SD: 0.0592 c. M: 0.1268 c. 2063: 395 336 146 349 347 179 311 N SD: 0.0532 c. M: 0.1027 c. 2329: 446 379 165 394 392 202 351 N SD: 0.0558 c. M:-0.0769 c. 2371: 454 386 168 401 399 206 357 N SD: 0.0554 c. M:-0.1156 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: 5.5945 cents 3 x x 4 x 5 x 6 S SD: 10.9800 cents 4 x 5 x 6 x 7:8 S SD: 16.1419 cents 5:6 x 7:8 x 9:10 S SD: 30.1533 cents 6:7 x 8:9:10:11:12 S SD: 9.8602 cents 7:8:9 x 11:12:13:14 SD: 14.9030 cents 8:9:10:11:12 x 14:16 S SD: 13.4684 cents 9:10 x 12:14:15:16:18 S SD: 13.4768 cents 10:11:13 x 15:17:18:20 SD: 11.9904 cents 12:14:15:16:18:20:22:24 S SD: 10.1078 cents 13:15:17 x 20:22:23:26 SD: 10.4645 cents 14:16:18:19:21:24:25:28 SD: 4.8156 cents 21:24:27:28:32:36:38:42 SD: 4.2659 cents 26:30:33:35:39:44:47:52 SD: 3.7091 cents 29:33:37:39:44:49:52:58 SD: 2.2363 cents 43:49:55:58:65:73:77:86 SD: 1.9933 cents 49:56:63:66:74:83:88:98 SD: 1.8573 cents 50:57:64:67:75:85:90:100 SD: 1.8430 cents 55:63:70:74:83:93:99:110 SD: 1.6571 cents 65:74:83:87:98:110:117:130 SD: 1.3276 cents 76:87:97:102:115:129:137:152 SD: 0.9452 cents 90:103:115:121:136:153:162:180 SD: 0.8918 cents 112:128:143:150:169:190:202:224 SD: 0.7820 cents 122:139:156:164:184:207:220:244 SD: 0.7135 cents 126:144:161:169:190:214:227:252 SD: 0.5413 cents 155:177:198:208:234:263:279:310 SD: 0.3255 cents 198:226:253:266:299:336:357:396 SD: 0.2945 cents 277:316:354:372:418:470:499:554 SD: 0.2847 cents 283:323:362:380:427:480:510:566 SD: 0.2583 cents 316:361:404:424:477:536:569:632 SD: 0.2527 cents 324:370:414:435:489:550:584:648 SD: 0.2371 cents 353:403:451:474:533:599:636:706 SD: 0.1676 cents 359:410:459:482:542:609:647:718 SD: 0.0952 cents 514:587:657:690:776:872:926:1028 SD: 0.0650 cents