Scala analysis: CD01_16_saba_Egypt
Toi qui a de belles paroles / Seigneur, fais ce qu'il te plait - Darwîsh Muhammad al-Harîrî (saba, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 146.059 cents 146.058986 2: 285.350 cents 285.349535 3: 463.651 cents 463.650753 4: 652.757 cents 652.757223 5: 983.468 cents 983.468327 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 216.5317 cents 216.5317 1: 146.0590 cents 146.0590 2: 139.2905 cents 139.2905 3: 178.3012 cents 178.3012 4: 189.1065 cents 189.1065 5: 330.7111 cents 330.7111 6: 216.5317 cents 216.5317
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 139.29055 cents 1: 1 146.05899 cents 1: 1 178.30122 cents 1: 1 189.10647 cents 1: 1 216.53167 cents 1: 1 330.71110 cents 2: 1 285.34953 cents 2: 1 317.59177 cents 2: 1 362.59066 cents 2: 1 367.40769 cents 2: 1 519.81757 cents 2: 1 547.24278 cents 3: 1 463.65075 cents 3: 1 501.88121 cents 3: 1 506.69824 cents 3: 1 693.30176 cents 3: 1 698.11879 cents 3: 1 736.34925 cents 4: 1 652.75722 cents 4: 1 680.18243 cents 4: 1 832.59231 cents 4: 1 837.40934 cents 4: 1 882.40823 cents 4: 1 914.65047 cents 5: 1 869.28890 cents 5: 1 983.46833 cents 5: 1 1010.89353 cents 5: 1 1021.69878 cents 5: 1 1053.94101 cents 5: 1 1060.70945 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 : 146.1 285.3 463.7 652.8 983.5 1200.0 146.1 : 139.3 317.6 506.7 837.4 1053.9 1200.0 285.3 : 178.3 367.4 698.1 914.7 1060.7 1200.0 463.7 : 189.1 519.8 736.3 882.4 1021.7 1200.0 652.8 : 330.7 547.2 693.3 832.6 1010.9 1200.0 983.5 : 216.5 362.6 501.9 680.2 869.3 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 139.2905 .. 330.7111 cents 191.42056 cents 139.29055 cents 2: 285.3495 .. 547.2428 cents 261.89324 cents -45.36157 cents 3: 463.6508 .. 736.3492 cents 272.69849 cents -83.59202 cents 4: 652.7572 .. 914.6505 cents 261.89324 cents -83.59202 cents 5: 869.2889 .. 1060.7095 cents 191.42056 cents -45.36157 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 139.29055 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 330.71110 cents Average / Smallest step : 1.435848 Largest / Average step : 1.653556 Largest / Smallest step : 2.374254 Median interval of one step : 183.70384 cents, amount: 0 Least squares average step : 185.01188 cents, oct.: 1110.07126 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : BACDFE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 13.11934 cents Scale diversity : 1.540244 Lumma stability : 0.232151 Lumma impropriety factor : 0.214923 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 : 4.81703 cents Number of recognisable fifths : 2, average 695.7103 cents Formal octave complements present : 1 = 16.6667% Limited inverse transpositions with margin 234.4680 cents: 3 -- Rational properties --
FIT/MODE
6: 1 0 1 1 2 1 N D3 SD: 53.7001 c. M: 85.3495 c. 7: 1 1 1 1 2 1 P M ME SD: 40.0731 c. M:-57.5076 c. 8: 1 1 1 1 3 1 N M DE SD: 35.6518 c. M:-66.5317 c. 9: 1 1 1 2 2 2 N SD: 34.8076 c. M: 63.6508 c. 10: 1 1 2 1 3 2 N SD: 32.4988 c. M: 52.7572 c. 11: 1 2 1 2 3 2 N G SD: 25.4123 c. M:-41.9232 c. 13: 2 1 2 2 4 2 N D3 SD: 20.9138 c. M:-38.5564 c. 15: 2 2 2 2 4 3 N SD: 19.8990 c. M:-34.6505 c. 16: 2 2 2 3 4 3 N SD: 12.7995 c. M:-22.2428 c. 18: 2 2 3 3 5 3 N SD: 12.8248 c. M: 18.6829 c. 24: 3 3 3 4 7 4 N SD: 10.7812 c. M:-16.5317 c. 26: 3 3 4 4 7 5 N SD: 7.9530 c. M: 14.2376 c. 33: 4 4 5 5 9 6 N SD: 4.4643 c. M:-9.0765 c. 39: 5 4 6 6 11 7 N SD: 5.4928 c. M: 8.4265 c. 49: 6 6 7 8 13 9 N SD: 5.2116 c. M:-8.5280 c. 50: 6 6 7 8 14 9 N SD: 3.9309 c. M: 7.6508 c. 51: 6 6 8 8 14 9 N SD: 4.8386 c. M:-6.9375 c. 55: 7 6 8 9 15 10 N SD: 3.7245 c. M:-6.6683 c. 67: 8 8 10 10 19 12 N SD: 3.6411 c. M: 7.9811 c. 68: 8 8 10 11 19 12 N SD: 3.6258 c. M: 4.8825 c. 72: 9 8 11 11 20 13 N SD: 2.4601 c. M:-3.9410 c. 83: 10 10 12 13 23 15 N SD: 1.9340 c. M:-3.8071 c. 88: 11 10 13 14 24 16 N SD: 1.9357 c. M:-3.9410 c. 101: 12 12 15 16 28 18 N SD: 1.8210 c. M: 3.4847 c. 121: 15 14 18 19 33 22 N SD: 2.0155 c. M:-2.7013 c. 122: 15 14 18 19 34 22 N SD: 1.6762 c. M: 3.5769 c. 127: 15 15 19 20 35 23 N SD: 1.9981 c. M: 4.3267 c. 132: 16 15 20 21 36 24 N SD: 1.7681 c. M: 3.5314 c. 134: 16 16 20 21 37 24 N SD: 1.6732 c. M: 2.7754 c. 138: 17 16 20 22 38 25 N SD: 1.5556 c. M: 2.7812 c. 139: 17 16 21 22 38 25 N SD: 1.7752 c. M:-3.3579 c. 140: 17 16 21 22 39 25 N SD: 1.5149 c. M: 2.4924 c. 155: 19 18 23 24 43 28 N SD: 1.2266 c. M: 2.4346 c. 156: 19 18 23 25 43 28 N SD: 1.1189 c. M: 2.1123 c. 165: 20 19 25 26 45 30 N SD: 1.4419 c. M:-1.8038 c. 171: 21 20 25 27 47 31 N SD: 1.1982 c. M:-2.3698 c. 173: 21 20 26 27 48 31 N SD: 0.9178 c. M:-1.5028 c. 189: 23 22 28 30 52 34 N SD: 0.5859 c. M:-1.2110 c. 215: 26 25 32 34 59 39 N SD: 0.6963 c. M: 1.1427 c. 261: 32 30 39 41 72 47 N SD: 0.5695 c. M:-1.0675 c. 287: 35 33 43 45 79 52 N SD: 0.6305 c. M: 1.0290 c. 311: 38 36 46 49 86 56 N SD: 0.4827 c. M: 0.6672 c. 344: 42 40 51 54 95 62 N SD: 0.4148 c. M:-0.6970 c. 404: 49 47 60 64 111 73 N SD: 0.4036 c. M:-0.7081 c. 450: 55 52 67 71 124 81 N SD: 0.4294 c. M:-0.6077 c. 471: 57 55 70 74 130 85 N SD: 0.4042 c. M: 0.8361 c. 476: 58 55 71 75 131 86 N SD: 0.2605 c. M: 0.4756 c. 526: 64 61 78 83 145 95 N SD: 0.2706 c. M: 0.5329 c. 559: 68 65 83 88 154 101 N SD: 0.1535 c. M: 0.2841 c. 748: 91 87 111 118 206 135 N SD: 0.1197 c. M:-0.2120 c. 1009: 123 117 150 159 278 182 N SD: 0.1424 c. M:-0.2245 c. 1035: 126 120 154 163 285 187 N SD: 0.1356 c. M: 0.2799 c. 1059: 129 123 157 167 292 191 N SD: 0.1337 c. M:-0.2029 c. 1191: 145 138 177 188 328 215 N SD: 0.1320 c. M: 0.2110 c. 1224: 149 142 182 193 337 221 N SD: 0.1009 c. M:-0.1840 c. 1346: 164 156 200 212 371 243 N SD: 0.1053 c. M: 0.1569 c. 1447: 176 168 215 228 399 261 N SD: 0.0781 c. M: 0.1018 c. 1535: 187 178 228 242 423 277 N SD: 0.0604 c. M:-0.1299 c. 2006: 244 233 298 316 553 362 N SD: 0.0642 c. M: 0.1151 c. 2094: 255 243 311 330 577 378 N SD: 0.0535 c. M: 0.0872 c. 2195: 267 255 326 346 605 396 N SD: 0.0469 c. M: 0.0909 c. 2283: 278 265 339 360 629 412 N SD: 0.0518 c. M:-0.0680 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 24.5989 cents 3 x x 4 x 5:6 S SD: 34.9693 cents 4 x x 5:6:7:8 S SD: 23.2054 cents 5 x 6 x 7:9:10 SD: 20.9414 cents 6 x 7:8:9:11:12 SD: 18.2065 cents 7 x 8:9:10:12:14 S SD: 17.3540 cents 8:9 x 10:12:14:16 S SD: 21.8747 cents 9:10:11:12:13:16:18 SD: 13.7183 cents 10:11:12:13:15:18:20 SD: 11.7269 cents 11:12:13:14:16:19:22 SD: 9.9595 cents 13:14:15:17:19:23:26 SD: 7.0052 cents 20:22:24:26:29:35:40 SD: 6.8111 cents 22:24:26:29:32:39:44 SD: 3.0051 cents 33:36:39:43:48:58:66 SD: 1.9222 cents 46:50:54:60:67:81:92 SD: 1.6231 cents 55:60:65:72:80:97:110 SD: 1.2998 cents 68:74:80:89:99:120:136 SD: 0.8725 cents 101:110:119:132:147:178:202 SD: 0.7457 cents 111:121:131:145:162:196:222 SD: 0.7049 cents 124:135:146:162:181:219:248 SD: 0.6301 cents 146:159:172:191:213:258:292 SD: 0.6129 cents 157:171:185:205:229:277:314 SD: 0.4993 cents 179:195:211:234:261:316:358 SD: 0.3850 cents 205:223:242:268:299:362:410 SD: 0.3816 cents 218:237:257:285:318:385:436 SD: 0.3473 cents 251:273:296:328:366:443:502 SD: 0.1329 cents 430:468:507:562:627:759:860 SD: 0.1128 cents 524:570:618:685:764:925:1048 SD: 0.1098 cents 557:606:657:728:812:983:1114 SD: 0.0953 cents