Scala analysis: CD11_04_bayati_Iraq
Jamais on ne vit de beauté pareille, même chez les shammar - Ensemble de Muhammad Al-Qubbbânjî (bayati, Iraq)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 136.568 cents 136.567549 2: 311.896 cents 311.895874 3: 489.075 cents 489.074860 4: 698.900 cents 698.900112 5: 990.163 cents 990.163200 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 209.8368 cents 209.8368 1: 136.5675 cents 136.5675 2: 175.3283 cents 175.3283 3: 177.1790 cents 177.1790 4: 209.8253 cents 209.8253 5: 291.2631 cents 291.2631 6: 209.8368 cents 209.8368
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 136.56755 cents 1: 1 175.32832 cents 1: 1 177.17899 cents 1: 1 209.82525 cents 1: 1 209.83680 cents 1: 1 291.26309 cents 2: 1 311.89587 cents 2: 1 346.40435 cents 2: 1 352.50731 cents 2: 1 387.00424 cents 2: 1 501.08834 cents 2: 1 501.09989 cents 3: 1 489.07486 cents 3: 1 521.73267 cents 3: 1 562.33256 cents 3: 1 637.66744 cents 3: 1 678.26733 cents 3: 1 710.92514 cents 4: 1 698.90011 cents 4: 1 698.91166 cents 4: 1 812.99576 cents 4: 1 847.49269 cents 4: 1 853.59565 cents 4: 1 888.10413 cents 5: 1 908.73691 cents 5: 1 990.16320 cents 5: 1 990.17475 cents 5: 1 1022.82101 cents 5: 1 1024.67168 cents 5: 1 1063.43245 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 : 136.6 311.9 489.1 698.9 990.2 1200.0 136.6 : 175.3 352.5 562.3 853.6 1063.4 1200.0 311.9 : 177.2 387.0 678.3 888.1 1024.7 1200.0 489.1 : 209.8 501.1 710.9 847.5 1022.8 1200.0 698.9 : 291.3 501.1 637.7 813.0 990.2 1200.0 990.2 : 209.8 346.4 521.7 698.9 908.7 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 136.5675 .. 291.2631 cents 154.69554 cents 136.56755 cents 2: 311.8959 .. 501.0999 cents 189.20401 cents 20.63279 cents 3: 489.0749 .. 710.9251 cents 221.85028 cents -12.02503 cents 4: 698.9001 .. 888.1041 cents 189.20401 cents -12.02503 cents 5: 908.7369 .. 1063.4325 cents 154.69554 cents 20.63279 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 136.56755 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 291.26309 cents Average / Smallest step : 1.464477 Largest / Average step : 1.456315 Largest / Smallest step : 2.132740 Median interval of one step : 193.50212 cents, amount: 0 Least squares average step : 188.72528 cents, oct.: 1132.35167 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : ABCDFE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 12.01348 cents Scale diversity : 1.533076 Lumma stability : 0.262001 Lumma impropriety factor : 0.020042 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 : 0.01155 cents Number of recognisable fifths : 3, average 702.9123 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 0 1 1 1 2 1 N T3 SD: 90.3546 c. M: 136.5675 c. 7: 1 1 1 1 2 1 P M ME SD: 27.2597 c. M:-38.4082 c. 10: 1 2 1 2 2 2 P D3 SD: 25.9032 c. M:-48.1041 c. 12: 1 2 2 2 3 2 P T3 SD: 16.8128 c. M: 36.5675 c. Raga Gandharavam, Sabai silt: Ethiopia 15: 2 2 2 3 3 3 P SD: 18.4938 c. M: 30.1632 c. 17: 2 2 3 3 4 3 P SD: 12.7274 c. M: 29.5429 c. 19: 2 3 3 3 5 3 P SD: 11.6498 c. M:-20.3631 c. 24: 3 3 4 4 6 4 P SD: 9.4805 c. M:-13.4325 c. 27: 3 4 4 5 6 5 P SD: 7.2298 c. M: 12.3854 c. 34: 4 5 5 6 8 6 P SD: 4.6943 c. M:-6.9822 c. 46: 5 7 7 8 11 8 P SD: 4.3430 c. M:-6.5773 c. 62: 7 9 9 11 15 11 N SD: 2.8018 c. M: 5.2039 c. 69: 8 10 10 12 17 12 N SD: 2.0093 c. M: 3.2479 c. 81: 9 12 12 14 20 14 N SD: 1.9913 c. M: 3.2342 c. 96: 11 14 14 17 23 17 N SD: 1.4152 c. M: 2.6632 c. 108: 12 16 16 19 26 19 N SD: 1.5245 c. M: 3.2342 c. 115: 13 17 17 20 28 20 N SD: 0.9451 c. M:-1.3599 c. 177: 20 26 26 31 43 31 N SD: 0.6188 c. M: 0.9743 c. 211: 24 31 31 37 51 37 N SD: 0.5093 c. M:-0.9003 c. 292: 33 43 43 51 71 51 N SD: 0.4523 c. M: 0.9511 c. 297: 34 43 44 52 72 52 N SD: 0.4793 c. M:-0.8062 c. 378: 43 55 56 66 92 66 N SD: 0.4061 c. M: 0.7848 c. 388: 44 57 57 68 94 68 N SD: 0.3789 c. M: 0.4851 c. 412: 47 60 61 72 100 72 N SD: 0.2080 c. M:-0.3257 c. 589: 67 86 87 103 143 103 N SD: 0.0976 c. M: 0.1811 c. 800: 91 117 118 140 194 140 N SD: 0.0980 c. M: 0.1632 c. 1001: 114 146 148 175 243 175 N SD: 0.0964 c. M: 0.2076 c. 1212: 138 177 179 212 294 212 N SD: 0.0604 c. M:-0.1098 c. 1389: 158 203 205 243 337 243 N SD: 0.0618 c. M: 0.0984 c. 1801: 205 263 266 315 437 315 N SD: 0.0402 c. M: 0.0691 c. 1916: 218 280 283 335 465 335 N SD: 0.0401 c. M:-0.0692 c. 1985: 226 290 293 347 482 347 N SD: 0.0460 c. M:-0.0635 c. 2390: 272 349 353 418 580 418 N SD: 0.0453 c. M: 0.0967 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 1.5274 cents 3 x x 4 x 5:6 S SD: 35.3947 cents 4 x 5 x 6:7:8 S SD: 19.3692 cents 5 x 6:7:8:9:10 S SD: 30.1151 cents 6 x 7:8:9:11:12 SD: 14.9955 cents 7 x 8:9:10:12:14 S SD: 27.7934 cents 8:9:10:11:12:14:16 S SD: 20.0082 cents 9:10:11:12:13:16:18 SD: 14.2953 cents 10:11:12:13:15:18:20 SD: 8.8190 cents 12:13:14:16:18:21:24 S SD: 8.4596 cents 16:17:19:21:24:28:32 SD: 7.4638 cents 21:23:25:28:31:37:42 SD: 6.0528 cents 22:24:26:29:33:39:44 SD: 4.8302 cents 24:26:29:32:36:43:48 SD: 4.4643 cents 25:27:30:33:37:44:50 SD: 4.2004 cents 34:37:41:45:51:60:68 SD: 2.9642 cents 36:39:43:48:54:64:72 SD: 2.0230 cents 52:56:62:69:78:92:104 SD: 1.9616 cents 60:65:72:80:90:106:120 SD: 1.9157 cents 61:66:73:81:91:108:122 SD: 1.1455 cents 86:93:103:114:129:152:172 SD: 0.9024 cents 110:119:132:146:165:195:220 SD: 0.8451 cents 111:120:133:147:166:197:222 SD: 0.8358 cents 122:132:146:162:183:216:244 SD: 0.6499 cents 147:159:176:195:220:260:294 SD: 0.5244 cents 157:170:188:208:235:278:314 SD: 0.4431 cents 171:185:205:227:256:303:342 SD: 0.4199 cents 183:198:219:243:274:324:366 SD: 0.4043 cents 193:209:231:256:289:342:386 SD: 0.2575 cents 233:252:279:309:349:413:466 SD: 0.2260 cents 294:318:352:390:440:521:588 SD: 0.2029 cents 364:394:436:483:545:645:728 SD: 0.1748 cents 380:411:455:504:569:673:760 SD: 0.1728 cents 416:450:498:552:623:737:832 SD: 0.1636 cents 426:461:510:565:638:755:852 SD: 0.1312 cents 487:527:583:646:729:863:974 SD: 0.1251 cents 573:620:686:760:858:1015:1146 SD: 0.0755 cents