Scala analysis: xen05-secor-2
Secor No. 2
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 104.600 cents 104.600000 2: 194.900 cents 194.900000 3: 308.600 cents 308.600000 4: 398.800 cents 398.800000 5: 503.400 cents 503.400000 6: 602.700 cents 602.700000 7: 696.600 cents 696.600000 8: 806.600 cents 806.600000 9: 896.800 cents 896.800000 10: 1006.800 cents 1006.800000 11: 1100.700 cents 1100.700000 12: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 99.3000 cents 99.3000 1: 104.6000 cents 104.6000 2: 90.3000 cents 90.3000 3: 113.7000 cents 113.7000 4: 90.2000 cents 90.2000 5: 104.6000 cents 104.6000 6: 99.3000 cents 99.3000 7: 93.9000 cents 93.9000 8: 110.0000 cents 110.0000 9: 90.2000 cents 90.2000 10: 110.0000 cents 110.0000 11: 93.9000 cents 93.9000 12: 99.3000 cents 99.3000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 90.20000 cents 1: 1 90.30000 cents 1: 2 93.90000 cents 1: 2 99.30000 cents 1: 2 104.60000 cents 1: 2 110.00000 cents 1: 1 113.70000 cents 2: 2 193.20000 cents 2: 1 194.80000 cents 2: 1 194.90000 cents 2: 2 200.20000 cents 2: 5 203.90000 cents 2: 1 204.00000 cents 3: 3 294.10000 cents 3: 2 294.20000 cents 3: 2 297.80000 cents 3: 2 303.20000 cents 3: 1 308.50000 cents 3: 1 308.60000 cents 3: 1 310.20000 cents 4: 1 388.00000 cents 4: 1 388.10000 cents 4: 2 393.40000 cents 4: 2 398.80000 cents 4: 2 404.10000 cents 4: 3 407.80000 cents 4: 1 407.90000 cents 5: 4 498.00000 cents 5: 3 498.10000 cents 5: 1 501.70000 cents 5: 1 501.80000 cents 5: 3 503.40000 cents 6: 1 588.20000 cents 6: 1 588.30000 cents 6: 2 592.00000 cents 6: 2 597.30000 cents 6: 2 602.70000 cents 6: 2 608.00000 cents 6: 1 611.70000 cents 6: 1 611.80000 cents 7: 3 696.60000 cents 7: 1 698.20000 cents 7: 1 698.30000 cents 7: 3 701.90000 cents 7: 4 702.00000 cents 8: 1 792.10000 cents 8: 3 792.20000 cents 8: 2 795.90000 cents 8: 2 801.20000 cents 8: 2 806.60000 cents 8: 1 811.90000 cents 8: 1 812.00000 cents 9: 1 889.80000 cents 9: 1 891.40000 cents 9: 1 891.50000 cents 9: 2 896.80000 cents 9: 2 902.20000 cents 9: 2 905.80000 cents 9: 3 905.90000 cents 10: 1 996.00000 cents 10: 5 996.10000 cents 10: 2 999.80000 cents 10: 1 1005.10000 cents 10: 1 1005.20000 cents 10: 2 1006.80000 cents 11: 1 1086.30000 cents 11: 2 1090.00000 cents 11: 2 1095.40000 cents 11: 2 1100.70000 cents 11: 2 1106.10000 cents 11: 1 1109.70000 cents 11: 2 1109.80000 cents Highest number of different intervals for one interval class: 8 Average number of different intervals per interval class: 6.54545 = 72/11
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 0.0 : 104.6 194.9 308.6 398.8 503.4 602.7 696.6 806.6 896.8 1006.8 1100.7 1200.0 104.6 : 90.3 204.0 294.2 398.8 498.1 592.0 702.0 792.2 902.2 996.1 1095.4 1200.0 194.9 : 113.7 203.9 308.5 407.8 501.7 611.7 701.9 811.9 905.8 1005.1 1109.7 1200.0 308.6 : 90.2 194.8 294.1 388.0 498.0 588.2 698.2 792.1 891.4 996.0 1086.3 1200.0 398.8 : 104.6 203.9 297.8 407.8 498.0 608.0 701.9 801.2 905.8 996.1 1109.8 1200.0 503.4 : 99.3 193.2 303.2 393.4 503.4 597.3 696.6 801.2 891.5 1005.2 1095.4 1200.0 602.7 : 93.9 203.9 294.1 404.1 498.0 597.3 701.9 792.2 905.9 996.1 1100.7 1200.0 696.6 : 110.0 200.2 310.2 404.1 503.4 608.0 698.3 812.0 902.2 1006.8 1106.1 1200.0 806.6 : 90.2 200.2 294.1 393.4 498.0 588.3 702.0 792.2 896.8 996.1 1090.0 1200.0 896.8 : 110.0 203.9 303.2 407.8 498.1 611.8 702.0 806.6 905.9 999.8 1109.8 1200.0 1006.8: 93.9 193.2 297.8 388.1 501.8 592.0 696.6 795.9 889.8 999.8 1090.0 1200.0 1100.7: 99.3 203.9 294.2 407.9 498.1 602.7 702.0 795.9 905.9 996.1 1106.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 90.2000 .. 113.7000 cents 23.50000 cents 90.20000 cents 2: 193.2000 .. 204.0000 cents 10.80000 cents 79.50000 cents 3: 294.1000 .. 310.2000 cents 16.10000 cents 90.10000 cents 4: 388.0000 .. 407.9000 cents 19.90000 cents 77.80000 cents 5: 498.0000 .. 503.4000 cents 5.40000 cents 90.10000 cents 6: 588.2000 .. 611.8000 cents 23.60000 cents 84.80000 cents 7: 696.6000 .. 702.0000 cents 5.40000 cents 84.80000 cents 8: 792.1000 .. 812.0000 cents 19.90000 cents 90.10000 cents 9: 889.8000 .. 905.9000 cents 16.10000 cents 77.80000 cents 10: 996.0000 .. 1006.8000 cents 10.80000 cents 90.10000 cents 11: 1086.3000 .. 1109.8000 cents 23.50000 cents 79.50000 cents
SHOW DATA
Number of notes : 12 -- Interval properties -- Smallest interval : 90.20000 cents, class 1 Average step (divided formal octave): 100.0000 cents Largest one step interval : 113.70000 cents Average / Smallest step : 1.108647 Largest / Average step : 1.137000 Largest / Smallest step : 1.260532 Median interval of one step : 99.30000 cents, amount: 2 Least squares average step : 100.19154 cents, oct.: 1202.29846 cents Scale is strictly proper Step pattern alph. order: ABCDAEFGDGFE Step pattern size order : EBGAEDCFAFCD Scale is a Constant Structure, by a margin of 77.80000 cents Scale diversity : 1.121742 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.854167 Rothenberg efficiency : 0.243519 redundancy: 0.756481 Efficiency x scale size : 2.922222 Number of different interval sizes : 72 = 6.54545 / class Number of one step interval sizes : 7 Highest interval variety : 8 Mean interval variety : 6.54545 = 72/11 Median interval variety : 5 Lowest interval variety : 5 Smallest interval difference : 0.10000 cents Most common intervals : 203.90000 cents & inv., amount: 5 Most common triad is 0.0 203.900 996.100 cents, amount: 3 Number of recognisable fifths : 12, average 700.0000 cents Best fifths form a closed circle Formal octave complements present : 3 = 25.0000% Limited transpositions with margin 14.5000 cents: 1 2 3 4 5 6 7 8 9 10 11 Limited inverse transpositions : 5 Inversional symmetry on intervals : 2-3 8-9 -- Rational properties --
FIT/MODE
12: 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 4.5963 c. M: 8.6000 c. Twelve-tone Chromatic (1/11-comma) 55: 5 4 5 4 5 5 4 5 4 5 4 5 SP M ME SD: 4.5906 c. M: 9.7909 c. Sauveur's Musician's System 57: 5 4 6 4 5 5 4 5 5 5 4 5 SP D3 SD: 5.1303 c. M:-8.4632 c. 61: 5 5 6 4 6 5 4 6 5 5 5 5 SP D3 SD: 5.5479 c. M:-8.1180 c. 62: 5 5 6 5 5 5 5 6 4 6 5 5 SP D3 SD: 4.2653 c. M: 7.8258 c. 67: 6 5 6 5 6 6 5 6 5 6 5 6 SP M ME SD: 3.8948 c. M: 8.1627 c. 69: 6 5 7 5 6 6 5 6 6 6 5 6 SP D3 SD: 4.0980 c. M:-7.5478 c. 73: 6 6 7 5 7 6 5 7 6 6 6 6 SP D3 SD: 4.5836 c. M:-7.3096 c. 74: 6 6 7 6 6 6 6 7 5 7 6 6 SP D3 SD: 3.5746 c. M: 7.3027 c. 76: 7 5 8 5 7 6 6 7 6 7 6 6 SP SD: 4.0180 c. M:-7.1895 c. 79: 7 6 7 6 7 7 6 7 6 7 6 7 SP M ME SD: 3.5472 c. M: 7.0291 c. 80: 7 6 8 6 7 6 6 8 6 7 6 7 SP SD: 4.3923 c. M:-6.6000 c. 81: 7 6 8 6 7 7 6 7 7 7 6 7 SP D3 SD: 3.5024 c. M:-6.9037 c. 82: 7 6 8 6 7 7 6 8 6 8 6 7 SP D3 SD: 4.0699 c. M: 8.7951 c. 83: 7 6 8 7 7 7 6 8 6 8 6 7 SP SD: 4.0389 c. M: 6.9482 c. 85: 7 7 8 6 8 7 6 8 7 7 7 7 SP D3 SD: 3.9979 c. M:-6.7294 c. 86: 7 7 8 6 8 7 7 8 6 8 7 7 SP D3 I SD: 3.5925 c. M: 8.1023 c. 88: 8 6 9 6 8 7 7 8 7 8 7 7 SP SD: 3.1233 c. M:-5.0364 c. 93: 8 7 9 7 8 8 7 9 7 8 7 8 SP SD: 3.1226 c. M:-6.4258 c. 94: 8 7 9 7 8 8 7 9 7 9 7 8 SP D3 SD: 3.5212 c. M: 7.2383 c. 95: 8 7 9 8 8 8 7 9 7 9 7 8 SP SD: 3.4304 c. M: 5.4421 c. 98: 9 7 9 8 8 8 8 9 7 9 8 8 SP D3 S SD: 2.8524 c. M:-5.6041 c. 100: 9 7 10 7 9 8 8 9 8 9 8 8 SP SD: 2.5283 c. M:-3.4000 c. 112: 10 8 11 8 10 9 9 10 9 10 9 9 SP SD: 2.1575 c. M:-3.2000 c. 124: 11 9 12 9 11 10 10 11 10 11 10 10 SP SD: 1.9578 c. M: 3.3742 c. 136: 12 10 13 10 12 11 11 12 11 12 11 11 SP SD: 1.8828 c. M: 3.6588 c. 141: 12 11 13 11 12 12 11 13 10 13 11 12 SP SD: 1.9810 c. M: 3.1830 c. 143: 12 11 14 11 12 12 11 13 11 13 11 12 SP SD: 1.9327 c. M:-3.9972 c. 147: 13 11 14 11 13 12 11 14 11 13 12 12 SP SD: 1.7577 c. M:-2.7224 c. 159: 14 12 15 12 14 13 12 15 12 14 13 13 SP SD: 1.5700 c. M: 3.0264 c. 171: 15 13 16 13 15 14 13 16 13 16 13 14 SP SD: 1.5626 c. M:-3.7263 c. 174: 15 13 17 13 15 14 14 16 13 16 14 14 SP SD: 1.4155 c. M:-2.7483 c. 183: 16 14 17 14 16 15 14 17 14 17 14 15 SP SD: 1.3694 c. M:-3.0361 c. 186: 16 14 18 14 16 15 15 17 14 17 15 15 SP SD: 1.2971 c. M: 2.7000 c. 193: 17 14 19 14 17 16 15 18 14 18 15 16 SP SD: 1.2013 c. M:-2.2808 c. 195: 17 15 18 15 17 16 15 18 15 18 15 16 SP SD: 1.2591 c. M:-2.4308 c. 198: 17 15 19 15 17 16 16 18 15 18 16 16 SP SD: 1.2559 c. M: 2.7000 c. 205: 18 15 20 15 18 17 16 19 15 19 16 17 SP SD: 0.9041 c. M: 1.7293 c. 217: 19 16 21 16 19 18 17 20 16 20 17 18 SP SD: 0.6684 c. M: 1.3516 c. 229: 20 17 22 17 20 19 18 21 17 21 18 19 SP SD: 0.5130 c. M: 1.0135 c. 241: 21 18 23 18 21 20 19 22 18 22 19 20 SP SD: 0.4667 c. M: 0.9909 c. 412: 36 31 39 31 36 34 32 38 31 38 32 34 SP SD: 0.3914 c. M:-0.9670 c. 424: 37 32 40 32 37 35 33 39 32 39 33 35 SP SD: 0.3277 c. M:-0.7472 c. 436: 38 33 41 33 38 36 34 40 33 40 34 36 SP SD: 0.3135 c. M:-0.5394 c. 629: 55 47 60 47 55 52 49 58 47 58 49 52 SP SD: 0.2923 c. M:-0.5132 c. 641: 56 48 61 48 56 53 50 59 48 59 50 53 SP SD: 0.2024 c. M:-0.3763 c. 653: 57 49 62 49 57 54 51 60 49 60 51 54 SP SD: 0.1179 c. M:-0.2444 c. 665: 58 50 63 50 58 55 52 61 50 61 52 55 SP SD: 0.0502 c. M:-0.1173 c. 1342: 117 101 127 101 117 111 105 123 101 123 105 111 SP SD: 0.0468 c. M: 0.1052 c. 1571: 137 118 149 118 137 130 123 144 118 144 123 130 SP SD: 0.0494 c. M: 0.1196 c. 1583: 138 119 150 119 138 131 124 145 119 145 124 131 SP SD: 0.0544 c. M: 0.1039 c. 2007: 175 151 190 151 175 166 157 184 151 184 157 166 SP SD: 0.0439 c. M: 0.0798 c. 2236: 195 168 212 168 195 185 175 205 168 205 175 185 SP SD: 0.0348 c. M: 0.0878 c. 2248: 196 169 213 169 196 186 176 206 169 206 176 186 SP SD: 0.0335 c. M: 0.0601 c.
FIT/HARMONIC
1 x x x x x x x x x x x 2 S SD: 0.0000 cents 2 x x x x x x 3 x x x x 4 S SD: 2.6775 cents 3 x x x x 4 x x x 5 x x 6 S SD: 4.5149 cents 4 x x x 5 x x 6 x x 7 x 8 S SD: 10.0828 cents 5 x x 6 x x 7 x 8 x 9 x 10 S SD: 4.9956 cents 6 x x 7 x 8 x 9 x 10:11 x 12 S SD: 10.2267 cents 7 x 8 x 9 x 10 x 11:12 x 13:14 S SD: 10.6837 cents 8 x 9 x 10:11 x 12:13 x 14:15:16 S SD: 9.1083 cents 9 x 10:11 x 12:13 x 14:15:16:17:18 S SD: 7.7368 cents 10 x 11:12 x 13:14:15:16:17:18:19:20 S SD: 6.7475 cents 11 x 12:13:14:15:16 x x 18:20:21:22 S SD: 10.5565 cents 12:13 x 14:15:16:17:18:19:20:21:23:24 SD: 6.7321 cents 13:14:15 x 16:17:18:19:21:22:23:25:26 SD: 9.8075 cents 14:15:16:17:18:19:20:21:22:24:25:26:28 S SD: 7.0947 cents 15:16:17:18:19:20:21:22:24:25:27:28:30 SD: 4.5440 cents 20:21:22:24:25:27:28:30:32:34:36:38:40 SD: 4.5306 cents 24:25:27:29:30:32:34:36:38:40:43:45:48 SD: 3.9496 cents 26:28:29:31:33:35:37:39:41:44:47:49:52 SD: 3.6254 cents 27:29:30:32:34:36:38:40:43:45:48:51:54 SD: 3.1324 cents 31:33:35:37:39:41:44:46:49:52:55:59:62 SD: 3.1155 cents 32:34:36:38:40:43:45:48:51:54:57:60:64 SD: 2.5013 cents 34:36:38:41:43:45:48:51:54:57:61:64:68 SD: 2.3920 cents 35:37:39:42:44:47:50:52:56:59:63:66:70 SD: 2.3609 cents 42:45:47:50:53:56:59:63:67:71:75:79:84 SD: 2.2839 cents 44:47:49:53:55:59:62:66:70:74:79:83:88 SD: 2.2020 cents 46:49:51:55:58:62:65:69:73:77:82:87:92 SD: 2.1010 cents 47:50:53:56:59:63:67:70:75:79:84:89:94 SD: 1.7753 cents 50:53:56:60:63:67:71:75:80:84:89:94:100 SD: 1.4711 cents 62:66:69:74:78:83:88:93:99:104:111:117:124 SD: 1.1089 cents 77:82:86:92:97:103:109:115:123:129:138:145:154 SD: 0.8482 cents 93:99:104:111:117:124:132:139:148:156:166:176:186 SD: 0.8264 cents 101:107:113:121:127:135:143:151:161:170:181:191:202 SD: 0.7632 cents 109:116:122:130:137:146:154:163:174:183:195:206:218 SD: 0.6915 cents 125:133:140:149:157:167:177:187:199:210:224:236:250 SD: 0.6781 cents 127:135:142:152:160:170:180:190:202:213:227:240:254 SD: 0.4641 cents 143:152:160:171:180:191:203:214:228:240:256:270:286 SD: 0.4383 cents 175:186:196:209:220:234:248:262:279:294:313:330:350 SD: 0.4198 cents 178:189:199:213:224:238:252:266:284:299:318:336:356 SD: 0.4033 cents 190:202:213:227:239:254:269:284:303:319:340:359:380 SD: 0.3573 cents 224:238:251:268:282:300:317:335:357:376:401:423:448 SD: 0.3534 cents 226:240:253:270:285:302:320:338:360:379:404:427:452 SD: 0.3409 cents 236:251:264:282:297:316:334:353:376:396:422:446:472 SD: 0.3151 cents 243:258:272:290:306:325:344:363:387:408:435:459:486 SD: 0.3117 cents 252:268:282:301:317:337:357:377:402:423:451:476:504 SD: 0.2949 cents 261:277:292:312:329:349:370:390:416:438:467:493:522 SD: 0.2891 cents 278:295:311:332:350:372:394:416:443:467:497:525:556 SD: 0.2796 cents 293:311:328:350:369:392:415:438:467:492:524:553:586 SD: 0.1932 cents 317:337:355:379:399:424:449:474:505:532:567:599:634 SD: 0.1880 cents 370:393:414:442:466:495:524:553:590:621:662:699:740 SD: 0.1733 cents 420:446:470:502:529:562:595:628:669:705:751:793:840 SD: 0.1373 cents 529:562:592:632:666:708:749:791:843:888:946:999:1058 SD: 0.1328 cents 545:579:610:651:686:729:772:815:868:915:975:1029:1090 SD: 0.1226 cents 563:598:630:673:709:753:797:842:897:945:1007:1063:1126 SD: 0.1059 cents