Scala analysis: rbuzurg-buzurg8_Cup
Buzurg pentachord plus 133-229-133 tetrachord at ~3/2
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 133.351 cents 133.350660 2: 361.885 cents 361.884960 3: 495.236 cents 495.235620 4: 628.586 cents 628.586280 5: 704.764 cents 704.764380 6: 838.115 cents 838.115040 7: 1066.649 cents 1066.649340 8: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 133.3507 cents 133.3507 1: 133.3507 cents 133.3507 2: 228.5343 cents 228.5343 3: 133.3507 cents 133.3507 4: 133.3507 cents 133.3507 5: 76.1781 cents 76.1781 6: 133.3507 cents 133.3507 7: 228.5343 cents 228.5343 8: 133.3507 cents 133.3507
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 76.17810 cents 1: 5 133.35066 cents 1: 2 228.53430 cents 2: 2 209.52876 cents 2: 2 266.70132 cents 2: 4 361.88496 cents 3: 2 342.87942 cents 3: 1 438.06306 cents 3: 5 495.23562 cents 4: 1 476.23008 cents 4: 3 571.41372 cents 4: 3 628.58628 cents 4: 1 723.76992 cents 5: 5 704.76438 cents 5: 1 761.93694 cents 5: 2 857.12058 cents 6: 4 838.11504 cents 6: 2 933.29868 cents 6: 2 990.47124 cents 7: 2 971.46570 cents 7: 5 1066.64934 cents 7: 1 1123.82190 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 3.14286 = 22/7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 0.0 : 133.4 361.9 495.2 628.6 704.8 838.1 1066.6 1200.0 133.4 : 228.5 361.9 495.2 571.4 704.8 933.3 1066.6 1200.0 361.9 : 133.4 266.7 342.9 476.2 704.8 838.1 971.5 1200.0 495.2 : 133.4 209.5 342.9 571.4 704.8 838.1 1066.6 1200.0 628.6 : 76.2 209.5 438.1 571.4 704.8 933.3 1066.6 1200.0 704.8 : 133.4 361.9 495.2 628.6 857.1 990.5 1123.8 1200.0 838.1 : 228.5 361.9 495.2 723.8 857.1 990.5 1066.6 1200.0 1066.6: 133.4 266.7 495.2 628.6 761.9 838.1 971.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 76.1781 .. 228.5343 cents 152.35620 cents 76.17810 cents 2: 209.5288 .. 361.8850 cents 152.35620 cents -19.00554 cents 3: 342.8794 .. 495.2356 cents 152.35620 cents -19.00554 cents 4: 476.2301 .. 723.7699 cents 247.53984 cents -19.00554 cents 5: 704.7644 .. 857.1206 cents 152.35620 cents -19.00554 cents 6: 838.1150 .. 990.4712 cents 152.35620 cents -19.00554 cents 7: 971.4657 .. 1123.8219 cents 152.35620 cents -19.00554 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 76.17810 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 228.53430 cents Average / Smallest step : 1.969070 Largest / Average step : 1.523562 Largest / Smallest step : 3.000000 Median interval of one step : 133.35066 cents, amount: 5 Most common interval of one step : 133.35066 cents, amount: 5 Least squares average step : 149.39328 cents, oct.: 1195.14628 cents Scale is not proper Step pattern alph. order: ABAACABA Step pattern size order : MLMMSMLM Scale is a Constant Structure, by a margin of 19.00554 cents Scale diversity : 1.415711 Lumma stability : 0.126964 Lumma impropriety factor : 0.095028 Rothenberg efficiency : 0.478125 redundancy: 0.521875 Efficiency x scale size : 3.825000 Number of different interval sizes : 22 = 3.14286 / class Number of one step interval sizes : 3 Highest interval variety : 4 Mean interval variety : 3.14286 = 22/7 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 19.00554 cents Most common triad is 0.0 704.764 1066.649 cents, amount: 4 Number of recognisable fifths : 5, average 704.7644 cents Scale contains two identical disjunct tetrachords Formal octave complements present : 7 = 87.5000% -- Rational properties -- Prime limit : 2 (not all pitches rational)
FIT/MODE
8: 1 1 1 1 0 1 2 1 N T3 SD: 56.9950 c. M: 104.7644 c. 9: 1 2 1 1 0 1 2 1 N SD: 30.1216 c. M: 38.1150 c. 10: 1 2 1 1 1 1 2 1 P D3 I SD: 14.3397 c. M: 28.5863 c. 17: 2 3 2 2 1 2 3 2 P SD: 6.4223 c. M: 8.9438 c. 27: 3 5 3 3 2 3 5 3 P SD: 5.0148 c. M: 6.3641 c. 36: 4 7 4 4 2 4 7 4 N SD: 3.7693 c. M: 4.7817 c. 46: 5 9 5 5 3 5 9 5 N SD: 2.3929 c. M: 3.3324 c. 63: 7 12 7 7 4 7 12 7 N SD: 0.0142 c. M: 0.0198 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 0.0000 cents 2 x x x x 3 x x 4 S SD: 1.4047 cents 3 x x 4 x x 5 x 6 S SD: 15.4430 cents 4 x 5 x x 6 x 7:8 S SD: 25.2167 cents 5 x 6 x 7 x 8:9:10 S SD: 17.0461 cents 6 x 7:8 x 9:10:11:12 S SD: 17.8580 cents 7:8 x 9:10 x 11:13:14 SD: 21.3634 cents 8:9:10:11 x 12:13:15:16 SD: 13.7037 cents 9:10:11:12:13:14:15:17:18 SD: 12.2653 cents 10:11:12:13:14:15:16:19:20 SD: 12.2062 cents 11:12:14:15:16:17:18:20:22 S SD: 11.9484 cents 12:13:15:16:17:18:19:22:24 SD: 7.2934 cents 14:15:17:19:20:21:23:26:28 SD: 6.3584 cents 16:17:20:21:23:24:26:30:32 SD: 6.2278 cents 18:19:22:24:26:27:29:33:36 SD: 6.0254 cents 21:23:26:28:30:32:34:39:42 SD: 4.7018 cents 22:24:27:29:32:33:36:41:44 SD: 4.6524 cents 25:27:31:33:36:38:41:46:50 SD: 4.3164 cents 26:28:32:35:37:39:42:48:52 SD: 3.5784 cents 27:29:33:36:39:41:44:50:54 SD: 3.4653 cents 34:37:42:45:49:51:55:63:68 SD: 2.3066 cents 39:42:48:52:56:59:63:72:78 SD: 2.0749 cents 48:52:59:64:69:72:78:89:96 SD: 1.0893 cents 87:94:107:116:125:131:141:161:174 SD: 0.8245 cents 100:108:123:133:144:150:162:185:200 SD: 0.7992 cents 103:111:127:137:148:155:167:191:206 SD: 0.7333 cents 112:121:138:149:161:168:182:207:224 SD: 0.6399 cents 151:163:186:201:217:227:245:280:302 SD: 0.3833 cents 215:232:265:286:309:323:349:398:430 SD: 0.2829 cents 263:284:324:350:378:395:427:487:526 SD: 0.1972 cents 438:473:540:583:630:658:711:811:876 SD: 0.1426 cents 486:525:599:647:699:730:789:900:972 SD: 0.1410 cents 498:538:614:663:716:748:808:922:996 SD: 0.1250 cents 525:567:647:699:755:789:852:972:1050 SD: 0.1001 cents