Scala analysis: xen18-darreg-djami-isfahan-2
Maqam Isfahan, bakiye between sixth and seventh degrees
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 180.000 cents 180.000000 2: 294.000 cents 294.000000 3: 498.000 cents 498.000000 4: 678.000 cents 678.000000 5: 792.000 cents 792.000000 6: 906.000 cents 906.000000 7: 996.000 cents 996.000000 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 204.0000 cents 204.0000 1: 180.0000 cents 180.0000 2: 114.0000 cents 114.0000 3: 204.0000 cents 204.0000 4: 180.0000 cents 180.0000 5: 114.0000 cents 114.0000 6: 114.0000 cents 114.0000 7: 90.0000 cents 90.0000 8: 204.0000 cents 204.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 90.00000 cents 1: 3 114.00000 cents 1: 2 180.00000 cents 1: 2 204.00000 cents 2: 1 204.00000 cents 2: 1 228.00000 cents 2: 3 294.00000 cents 2: 1 318.00000 cents 2: 2 384.00000 cents 3: 1 318.00000 cents 3: 2 408.00000 cents 3: 1 474.00000 cents 3: 4 498.00000 cents 4: 1 498.00000 cents 4: 1 522.00000 cents 4: 2 588.00000 cents 4: 2 612.00000 cents 4: 1 678.00000 cents 4: 1 702.00000 cents 5: 4 702.00000 cents 5: 1 726.00000 cents 5: 2 792.00000 cents 5: 1 882.00000 cents 6: 2 816.00000 cents 6: 1 882.00000 cents 6: 3 906.00000 cents 6: 1 972.00000 cents 6: 1 996.00000 cents 7: 2 996.00000 cents 7: 2 1020.00000 cents 7: 3 1086.00000 cents 7: 1 1110.00000 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 4.57143 = 32/7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 0.0 : 180.0 294.0 498.0 678.0 792.0 906.0 996.0 1200.0 180.0 : 114.0 318.0 498.0 612.0 726.0 816.0 1020.0 1200.0 294.0 : 204.0 384.0 498.0 612.0 702.0 906.0 1086.0 1200.0 498.0 : 180.0 294.0 408.0 498.0 702.0 882.0 996.0 1200.0 678.0 : 114.0 228.0 318.0 522.0 702.0 816.0 1020.0 1200.0 792.0 : 114.0 204.0 408.0 588.0 702.0 906.0 1086.0 1200.0 906.0 : 90.0 294.0 474.0 588.0 792.0 972.0 1086.0 1200.0 996.0 : 204.0 384.0 498.0 702.0 882.0 996.0 1110.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 90.0000 .. 204.0000 cents 114.00000 cents 90.00000 cents 2: 204.0000 .. 384.0000 cents 180.00000 cents 1/1, 0.0000 cents 3: 318.0000 .. 498.0000 cents 180.00000 cents -66.00000 cents 4: 498.0000 .. 702.0000 cents 204.00000 cents 1/1, 0.0000 cents 5: 702.0000 .. 882.0000 cents 180.00000 cents 1/1, 0.0000 cents 6: 816.0000 .. 996.0000 cents 180.00000 cents -66.00000 cents 7: 996.0000 .. 1110.0000 cents 114.00000 cents 1/1, 0.0000 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 90.00000 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 204.00000 cents Average / Smallest step : 1.666667 Largest / Average step : 1.360000 Largest / Smallest step : 2.266667 Median interval of one step : 147.00000 cents, amount: 0 Most common interval of one step : 114.00000 cents, amount: 3 Least squares average step : 151.67647 cents, oct.: 1213.41176 cents Scale is not proper Scale is a mode of a 200-tone equal temperament with octave 1200.000 cents degrees: 30 49 83 113 132 151 166 200 Least number of segments generator : 101 of 606.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 117 of 702.000 cents and inv. generated superset size: 15 = 7 more = 187.500% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCABBDC Step pattern size order : CBDCBBAD Interval vector is [ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 3 0 0 0 0 0 0 0 0 0 0 2 0 0 0 3 0 0 0 1 0 0 0 0 0 0 0 0 0 0 3 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 1 0 0 0 5 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 ] Scale is not a Constant Structure Scale diversity : 1.465310 Lumma stability : 0.150000 Lumma impropriety factor : 0.110000 Rothenberg efficiency : 0.430804 redundancy: 0.569196 Efficiency x scale size : 3.446429 Number of different interval sizes : 26 = 3.71429 / class Number of one step interval sizes : 4 Highest interval variety : 6 Mean interval variety : 4.57143 = 32/7 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 24.00000 cents Most common intervals : 498.00000 cents & inv., amount: 5 Most common triad is 0.0 498.000 702.000 cents, amount: 3 Number of recognisable fifths : 5, average 702.0000 cents Formal octave complements present : 3 = 37.5000% Limited inverse transpositions with margin 180.0000 cents: 3 -- Rational properties --
FIT/MODE
8: 1 1 1 1 1 1 0 2 N T3 SD: 50.4232 c. M: 96.0000 c. 9: 1 1 2 1 1 1 0 2 N SD: 33.6155 c. M: 62.6667 c. 12: 2 1 2 2 1 1 1 2 N D3 SD: 11.4018 c. M:-22.0000 c. Raga Mukhari, Anandabhairavi, Deshi (Desi), Khat, Manji, Gregorian nr.1, Dorian/Aeolian mixed 26: 4 2 5 4 2 3 2 4 N SD: 12.9107 c. M:-19.3846 c. 28: 4 3 5 4 2 3 2 5 N SD: 11.1758 c. M: 20.5714 c. 29: 4 3 5 4 3 3 2 5 N SD: 8.2564 c. M: 15.9310 c. 32: 5 3 5 5 3 3 3 5 N D3 SD: 8.2158 c. M:-16.5000 c. 33: 5 3 6 5 3 3 2 6 N SD: 8.4940 c. M: 14.1818 c. 36: 5 4 6 5 4 3 3 6 N SD: 7.6012 c. M: 13.3333 c. 40: 6 4 7 6 3 4 3 7 N SD: 8.2158 c. M:-12.0000 c. 41: 6 4 7 6 4 4 3 7 N SD: 2.5028 c. M: 4.8293 c. 53: 8 5 9 8 5 5 4 9 N SD: 0.6454 c. M:-1.2453 c. 147: 22 14 25 22 14 14 11 25 N SD: 0.2327 c. M: 0.4490 c. 200: 30 19 34 30 19 19 15 34 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x x 4 S SD: 11.9775 cents 3 x x 4 x x 5 x 6 S SD: 7.2138 cents 4 x 5 x 6 x x 7:8 S SD: 24.7918 cents 5 x 6:7 x 8 x 9:10 S SD: 18.4904 cents 6 x 7:8:9 x 10:11:12 S SD: 11.3355 cents 7:8 x 9:10:11:12 x 14 S SD: 17.5320 cents 8:9 x 11:12:13 x 14:16 SD: 14.0255 cents 9:10:11:12:13:14:15:16:18 S SD: 9.4972 cents 10:11:12:13:15:16:17:18:20 SD: 8.1785 cents 12:13:14:16:18:19:20:21:24 S SD: 8.1447 cents 15:17:18:20:22:24:25:27:30 SD: 7.3345 cents 16:18:19:21:24:25:27:28:32 SD: 6.8608 cents 17:19:20:23:25:27:29:30:34 SD: 5.0811 cents 21:23:25:28:31:33:35:37:42 SD: 4.6422 cents 26:29:31:35:38:41:44:46:52 SD: 3.9784 cents 27:30:32:36:40:43:46:48:54 SD: 2.7026 cents 36:40:43:48:53:57:61:64:72 SD: 2.2462 cents 45:50:53:60:67:71:76:80:90 SD: 1.9826 cents 48:53:57:64:71:76:81:85:96 SD: 1.4853 cents 54:60:64:72:80:85:91:96:108 SD: 0.9812 cents 81:90:96:108:120:128:137:144:162 SD: 0.6425 cents 129:143:153:172:191:204:218:229:258 SD: 0.5611 cents 135:150:160:180:200:213:228:240:270 SD: 0.5569 cents 157:174:186:209:232:248:265:279:314 SD: 0.5045 cents 183:203:217:244:271:289:309:325:366 SD: 0.3708 cents 221:245:262:295:327:349:373:393:442 SD: 0.3561 cents 238:264:282:317:352:376:402:423:476 SD: 0.3094 cents 265:294:314:353:392:419:447:471:530 SD: 0.2749 cents 319:354:378:425:472:504:538:567:638 SD: 0.2264 cents 336:373:398:448:497:531:567:597:672 SD: 0.1925 cents 384:426:455:512:568:607:648:683:768 SD: 0.1600 cents 438:486:519:584:648:692:739:779:876 SD: 0.1234 cents 486:539:576:648:719:768:820:864:972 SD: 0.1166 cents 567:629:672:756:839:896:957:1008:1134 SD: 0.0762 cents