Scala analysis: arab_segah-99edo
99-edo Arab Segah with extra slightly raised leading tone to final
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 145.455 cents 145.454550 2: 351.515 cents 351.515150 3: 557.576 cents 557.575760 4: 703.030 cents 703.030300 5: 848.485 cents 848.484850 6: 1054.545 cents 1054.545450 7: 1066.667 cents 1066.666670 8: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 133.3333 cents 133.3333 1: 145.4545 cents 145.4545 2: 206.0606 cents 206.0606 3: 206.0606 cents 206.0606 4: 145.4545 cents 145.4545 5: 145.4545 cents 145.4545 6: 206.0606 cents 206.0606 7: 12.1212 cents 12.1212 8: 133.3333 cents 133.3333
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 12.12122 cents 1: 1 133.33333 cents 1: 3 145.45455 cents 1: 3 206.06060 cents 2: 1 145.45455 cents 2: 1 218.18182 cents 2: 1 278.78788 cents 2: 1 290.90909 cents 2: 3 351.51515 cents 2: 1 412.12121 cents 3: 1 290.90910 cents 3: 1 351.51515 cents 3: 1 363.63637 cents 3: 1 484.84848 cents 3: 2 496.96970 cents 3: 2 557.57576 cents 4: 3 496.96970 cents 4: 1 509.09091 cents 4: 1 690.90909 cents 4: 3 703.03030 cents 5: 2 642.42424 cents 5: 2 703.03030 cents 5: 1 715.15152 cents 5: 1 836.36363 cents 5: 1 848.48485 cents 5: 1 909.09090 cents 6: 1 787.87879 cents 6: 3 848.48485 cents 6: 1 909.09091 cents 6: 1 921.21212 cents 6: 1 981.81818 cents 6: 1 1054.54545 cents 7: 3 993.93940 cents 7: 3 1054.54545 cents 7: 1 1066.66667 cents 7: 1 1187.87878 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 5.14286 = 36/7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 0.0 : 145.5 351.5 557.6 703.0 848.5 1054.5 1066.7 1200.0 145.5 : 206.1 412.1 557.6 703.0 909.1 921.2 1054.5 1200.0 351.5 : 206.1 351.5 497.0 703.0 715.2 848.5 993.9 1200.0 557.6 : 145.5 290.9 497.0 509.1 642.4 787.9 993.9 1200.0 703.0 : 145.5 351.5 363.6 497.0 642.4 848.5 1054.5 1200.0 848.5 : 206.1 218.2 351.5 497.0 703.0 909.1 1054.5 1200.0 1054.5: 12.1 145.5 290.9 497.0 703.0 848.5 993.9 1200.0 1066.7: 133.3 278.8 484.8 690.9 836.4 981.8 1187.9 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 12.1212 .. 206.0606 cents 193.93938 cents 12.12122 cents 2: 145.4545 .. 412.1212 cents 266.66666 cents -60.60605 cents 3: 290.9091 .. 557.5758 cents 266.66666 cents -121.21211 cents 4: 496.9697 .. 703.0303 cents 206.06060 cents -60.60606 cents 5: 642.4242 .. 909.0909 cents 266.66666 cents -60.60606 cents 6: 787.8788 .. 1054.5455 cents 266.66666 cents -121.21211 cents 7: 993.9394 .. 1187.8788 cents 193.93938 cents -60.60605 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 12.12122 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 206.06060 cents Average / Smallest step : 12.374992 Largest / Average step : 1.373737 Largest / Smallest step : 16.999988 Median interval of one step : 145.45455 cents, amount: 3 Least squares average step : 161.61616 cents, oct.: 1292.92929 cents Scale is not proper Scale is a mode of a 99-tone equal temperament with octave 2/1 degrees: 12 29 46 58 70 87 88 99 Least number of segments generator : 50 of 606.061 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 64 of 775.758 cents and inv. generated superset size: 22 = 14 more = 275.000% Number of contiguous 1-step segments: 1 Step pattern alph. order: ABBAABCD Step pattern size order : CDDCCDAB Interval vector is [ 1 0 0 0 0 0 0 0 0 0 1 4 0 0 0 0 3 1 0 0 0 0 1 2 0 0 0 0 4 1 0 0 0 1 0 0 0 0 0 1 5 1 0 0 0 2 0 0 0 ] Scale is not a Constant Structure Scale diversity : 1.386017 Lumma stability : 0.020202 Lumma impropriety factor : 0.404040 Rothenberg efficiency : 0.426786 redundancy: 0.573214 Efficiency x scale size : 3.414286 Number of different interval sizes : 28 = 4.00000 / class Number of one step interval sizes : 4 Highest interval variety : 6 Mean interval variety : 5.14286 = 36/7 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 12.12121 cents Most common intervals : 496.96970 cents & inv., amount: 5 Most common triad is 0.0 496.970 703.030 cents, amount: 3 Number of recognisable fifths : 7, average 703.0303 cents Number of appreciable fifths : 6, average 701.0101 cents Formal octave complements present : 5 = 62.5000% -- Rational properties -- Prime limit : 2 (not all pitches rational)
FIT/MODE
8: 1 1 2 1 1 1 0 1 N D3 SD: 34.6999 c. M: 51.5152 c. 9: 1 2 1 1 1 2 0 1 N D3 SD: 29.3799 c. M: 48.4849 c. 10: 1 2 2 1 1 2 0 1 N SD: 21.5216 c. M:-42.4242 c. 15: 2 2 3 2 2 2 0 2 N D3 SD: 20.6595 c. M: 31.5152 c. 17: 2 3 3 2 2 3 0 2 N SD: 4.4883 c. M: 7.8431 c. 41: 5 7 7 5 5 7 0 5 N SD: 4.6569 c. M: 13.0081 c. 51: 6 9 9 6 6 9 0 6 N SD: 4.4883 c. M: 7.8431 c. 58: 7 10 10 7 7 10 1 6 N SD: 3.2919 c. M:-9.1954 c. 61: 7 11 10 8 7 11 0 7 N SD: 5.3022 c. M:-7.7496 c. 64: 8 11 11 8 7 11 1 7 N SD: 5.0550 c. M:-9.4697 c. 65: 8 11 11 8 8 11 1 7 N SD: 2.3477 c. M:-4.1026 c. 75: 9 13 13 9 9 13 1 8 N SD: 2.2350 c. M:-5.3333 c. 82: 10 14 14 10 10 14 1 9 N SD: 0.9305 c. M:-1.6260 c. 99: 12 17 17 12 12 17 1 11 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: 0.5376 cents 3 x x 4 x 5 x x 6 S SD: 23.1681 cents 4 x 5 x 6 x 7 x 8 S SD: 23.1300 cents 5 x 6:7 x 8:9 x 10 S SD: 13.3939 cents 6 x 7:8:9:10:11 x 12 S SD: 18.2753 cents 7:8:9:10 x 11 x 13:14 SD: 24.8895 cents 8:9:10:11:12:13 x 15:16 SD: 10.2999 cents 9:10:11:12:14:15 x 17:18 SD: 15.1352 cents 10:11:12:14:15:16:18:19:20 S SD: 10.3467 cents 11:12:13:15:17:18:20 x 22 SD: 12.2010 cents 12:13:15:17:18:20:22 x 24 SD: 9.7276 cents 13:14:16:18:20:21 x 24:26 S SD: 7.2552 cents 14:15:17:19:21:23 x 26:28 SD: 6.2181 cents 15:16:18:21:23:24 x 28:30 SD: 10.8957 cents 16:17:20:22:24:26:29:30:32 SD: 7.9499 cents 17:18:21:23:26:28:31 x 34 SD: 10.1474 cents 18:20:22:25:27:29:33 x 36 SD: 6.4759 cents 19:21:23:26:29:31:35 x 38 SD: 6.8059 cents 20:22:25:28:30:33 x 37:40 SD: 7.2282 cents 21:23:26:29:32:34 x 39:42 SD: 5.3353 cents 22:24:27:30:33:36:40:41:44 SD: 3.9218 cents 24:26:29:33:36:39:44 x 48 SD: 3.9090 cents 25:27:31:35:38:41:46 x 50 SD: 5.9756 cents 26:28:32:36:39:42 x 48:52 S SD: 3.9185 cents 27:29:33:37:41:44 x 50:54 SD: 4.6332 cents 30:33:37:41:45:49:55:56:60 SD: 3.9907 cents 31:34:38:43:47:51:57 x 62 SD: 3.9718 cents 32:35:39:44:48:52:59 x 64 SD: 2.4761 cents 33:36:40:46:50:54 x 61:66 SD: 4.4366 cents 34:37:42:47:51:56 x 63:68 SD: 3.0426 cents 35:38:43:48:53:57:64:65:70 SD: 2.8518 cents 36:39:44:50:54:59:66:67:72 SD: 2.2999 cents 38:41:47:52:57:62:70 x 76 SD: 3.7485 cents 39:42:48:54:59:64 x 72:78 SD: 3.7443 cents 40:44:49:55:60:65 x 74:80 SD: 3.1575 cents 42:46:51:58:63:69:77:78:84 SD: 2.9493 cents 43:47:53:59:65:70:79:80:86 SD: 2.8617 cents 44:48:54:61:66:72:81 x 88 SD: 1.5764 cents 45:49:55:62:68:73:83 x 90 SD: 2.5250 cents 46:50:56:63:69:75 x 85:92 SD: 2.5265 cents 48:52:59:66:72:78:88:89:96 SD: 1.8348 cents 51:55:62:70:77:83:94 x 102 SD: 3.5937 cents 52:57:64:72:78:85 x 96:104 SD: 2.5258 cents 53:58:65:73:80:87:97:98:106 SD: 2.4572 cents 54:59:66:75:81:88:99:100:108 SD: 1.9360 cents 56:61:69:77:84:91:103:104:112 SD: 1.9110 cents 57:62:70:79:86:93:105:106:114 SD: 1.8520 cents 58:63:71:80:87:95:107 x 116 SD: 1.2297 cents 65:71:80:90:98:106 x 120:130 SD: 2.2274 cents 66:72:81:91:99:108:121:122:132 SD: 1.2022 cents 68:74:83:94:102:111:125:126:136 SD: 0.9161 cents 71:77:87:98:107:116:131 x 142 SD: 1.5061 cents 76:83:93:105:114:124:140:141:152 SD: 1.1225 cents 79:86:97:109:119:129:145:146:158 SD: 1.1029 cents 80:87:98:110:120:131:147:148:160 SD: 1.0668 cents 90:98:110:124:135:147:165:167:180 SD: 1.0448 cents 92:100:113:127:138:150:169:170:184 SD: 0.8255 cents 106:115:130:146:159:173:195:196:212 SD: 0.8053 cents 116:126:142:160:174:189:213:215:232 SD: 0.6740 cents 124:135:152:171:186:202:228:230:248 SD: 0.6630 cents 134:146:164:185:201:219:246:248:268 SD: 0.6465 cents 137:149:168:189:206:224:252:254:274 SD: 0.6228 cents 147:160:180:203:221:240:270:272:294 SD: 0.5248 cents 150:163:184:207:225:245:276:278:300 SD: 0.4428 cents 160:174:196:221:240:261:294:296:320 SD: 0.3903 cents 182:198:223:251:273:297:335:337:364 SD: 0.3047 cents 218:237:267:301:327:356:401:404:436 SD: 0.2919 cents 284:309:348:392:426:464:522:526:568 SD: 0.2623 cents 297:323:364:410:446:485:546:550:594 SD: 0.1798 cents 329:358:403:454:494:537:605:609:658 SD: 0.1614 cents 471:512:577:650:707:769:866:872:942 SD: 0.1341 cents 479:521:587:661:719:782:881:887:958 SD: 0.0811 cents 547:595:670:755:821:893:1006:1013:1094 SD: 0.0781 cents