Scala analysis: xen05-secor-3
Secor No. 3
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 110.000 cents 110.000000 2: 193.200 cents 193.200000 3: 310.300 cents 310.300000 4: 393.400 cents 393.400000 5: 503.400 cents 503.400000 6: 602.700 cents 602.700000 7: 696.600 cents 696.600000 8: 812.000 cents 812.000000 9: 891.400 cents 891.400000 10: 1006.800 cents 1006.800000 11: 1095.400 cents 1095.400000 12: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 104.6000 cents 104.6000 1: 110.0000 cents 110.0000 2: 83.2000 cents 83.2000 3: 117.1000 cents 117.1000 4: 83.1000 cents 83.1000 5: 110.0000 cents 110.0000 6: 99.3000 cents 99.3000 7: 93.9000 cents 93.9000 8: 115.4000 cents 115.4000 9: 79.4000 cents 79.4000 10: 115.4000 cents 115.4000 11: 88.6000 cents 88.6000 12: 104.6000 cents 104.6000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 79.40000 cents 1: 1 83.10000 cents 1: 1 83.20000 cents 1: 1 88.60000 cents 1: 1 93.90000 cents 1: 1 99.30000 cents 1: 1 104.60000 cents 1: 2 110.00000 cents 1: 2 115.40000 cents 1: 1 117.10000 cents 2: 1 193.10000 cents 2: 3 193.20000 cents 2: 2 194.80000 cents 2: 1 200.20000 cents 2: 1 200.30000 cents 2: 1 204.00000 cents 2: 2 209.30000 cents 2: 1 214.60000 cents 3: 2 283.40000 cents 3: 1 288.70000 cents 3: 1 292.40000 cents 3: 1 297.80000 cents 3: 2 303.20000 cents 3: 2 308.60000 cents 3: 2 310.20000 cents 3: 1 310.30000 cents 4: 1 386.30000 cents 4: 1 386.40000 cents 4: 2 388.00000 cents 4: 2 393.40000 cents 4: 1 398.80000 cents 4: 1 404.10000 cents 4: 1 409.50000 cents 4: 1 414.90000 cents 4: 2 418.60000 cents 5: 2 492.70000 cents 5: 3 498.00000 cents 5: 1 501.70000 cents 5: 1 501.80000 cents 5: 4 503.40000 cents 5: 1 503.50000 cents 6: 1 581.10000 cents 6: 1 581.20000 cents 6: 2 586.60000 cents 6: 1 592.00000 cents 6: 1 597.30000 cents 6: 1 602.70000 cents 6: 1 608.00000 cents 6: 2 613.40000 cents 6: 1 618.80000 cents 6: 1 618.90000 cents 7: 1 696.50000 cents 7: 4 696.60000 cents 7: 1 698.20000 cents 7: 1 698.30000 cents 7: 3 702.00000 cents 7: 2 707.30000 cents 8: 2 781.40000 cents 8: 1 785.10000 cents 8: 1 790.50000 cents 8: 1 795.90000 cents 8: 1 801.20000 cents 8: 2 806.60000 cents 8: 2 812.00000 cents 8: 1 813.60000 cents 8: 1 813.70000 cents 9: 1 889.70000 cents 9: 2 889.80000 cents 9: 2 891.40000 cents 9: 2 896.80000 cents 9: 1 902.20000 cents 9: 1 907.60000 cents 9: 1 911.30000 cents 9: 2 916.60000 cents 10: 1 985.40000 cents 10: 2 990.70000 cents 10: 1 996.00000 cents 10: 1 999.70000 cents 10: 1 999.80000 cents 10: 2 1005.20000 cents 10: 3 1006.80000 cents 10: 1 1006.90000 cents 11: 1 1082.90000 cents 11: 2 1084.60000 cents 11: 2 1090.00000 cents 11: 1 1095.40000 cents 11: 1 1100.70000 cents 11: 1 1106.10000 cents 11: 1 1111.40000 cents 11: 1 1116.80000 cents 11: 1 1116.90000 cents 11: 1 1120.60000 cents Highest number of different intervals for one interval class: 10 Average number of different intervals per interval class: 8.36364 = 92/11
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 0.0 : 110.0 193.2 310.3 393.4 503.4 602.7 696.6 812.0 891.4 1006.8 1095.4 1200.0 110.0 : 83.2 200.3 283.4 393.4 492.7 586.6 702.0 781.4 896.8 985.4 1090.0 1200.0 193.2 : 117.1 200.2 310.2 409.5 503.4 618.8 698.2 813.6 902.2 1006.8 1116.8 1200.0 310.3 : 83.1 193.1 292.4 386.3 501.7 581.1 696.5 785.1 889.7 999.7 1082.9 1200.0 393.4 : 110.0 209.3 303.2 418.6 498.0 613.4 702.0 806.6 916.6 999.8 1116.9 1200.0 503.4 : 99.3 193.2 308.6 388.0 503.4 592.0 696.6 806.6 889.8 1006.9 1090.0 1200.0 602.7 : 93.9 209.3 288.7 404.1 492.7 597.3 707.3 790.5 907.6 990.7 1100.7 1200.0 696.6 : 115.4 194.8 310.2 398.8 503.4 613.4 696.6 813.7 896.8 1006.8 1106.1 1200.0 812.0 : 79.4 194.8 283.4 388.0 498.0 581.2 698.3 781.4 891.4 990.7 1084.6 1200.0 891.4 : 115.4 204.0 308.6 418.6 501.8 618.9 702.0 812.0 911.3 1005.2 1120.6 1200.0 1006.8: 88.6 193.2 303.2 386.4 503.5 586.6 696.6 795.9 889.8 1005.2 1084.6 1200.0 1095.4: 104.6 214.6 297.8 414.9 498.0 608.0 707.3 801.2 916.6 996.0 1111.4 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 79.4000 .. 117.1000 cents 37.70000 cents 79.40000 cents 2: 193.1000 .. 214.6000 cents 21.50000 cents 76.00000 cents 3: 283.4000 .. 310.3000 cents 26.90000 cents 68.80000 cents 4: 386.3000 .. 418.6000 cents 32.30000 cents 76.00000 cents 5: 492.7000 .. 503.5000 cents 10.80000 cents 74.10000 cents 6: 581.1000 .. 618.9000 cents 37.80000 cents 77.60000 cents 7: 696.5000 .. 707.3000 cents 10.80000 cents 77.60000 cents 8: 781.4000 .. 813.7000 cents 32.30000 cents 74.10000 cents 9: 889.7000 .. 916.6000 cents 26.90000 cents 76.00000 cents 10: 985.4000 .. 1006.9000 cents 21.50000 cents 68.80000 cents 11: 1082.9000 .. 1120.6000 cents 37.70000 cents 76.00000 cents
SHOW DATA
Number of notes : 12 -- Interval properties -- Smallest interval : 79.40000 cents, class 1 Average step (divided formal octave): 100.0000 cents Largest one step interval : 117.10000 cents Average / Smallest step : 1.259446 Largest / Average step : 1.171000 Largest / Smallest step : 1.474811 Median interval of one step : 101.95000 cents, amount: 0 Least squares average step : 100.07123 cents, oct.: 1200.85477 cents Scale is strictly proper Step pattern alph. order: ABCDAEFGHGIJ Step pattern size order : HCJBHFEIAIDG Scale is a Constant Structure, by a margin of 68.80000 cents Scale diversity : 1.218849 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.753167 Rothenberg efficiency : 0.215867 redundancy: 0.784133 Efficiency x scale size : 2.590404 Number of different interval sizes : 92 = 8.36364 / class Number of one step interval sizes : 10 Highest interval variety : 10 Mean interval variety : 8.36364 = 92/11 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 0.10000 cents Most common intervals : 503.40000 cents & inv., amount: 4 Most common triad is 0.0 503.400 696.600 cents, amount: 3 Number of recognisable fifths : 12, average 700.0000 cents Best fifths form a closed circle Formal octave complements present : 5 = 41.6667% Limited transpositions with margin 30.6000 cents: 5 7 Limited inverse transpositions with margin 30.6000 cents: 5 7 10 -- Rational properties --
FIT/MODE
12: 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 7.1394 c. M: 12.0000 c. Twelve-tone Chromatic (1/11-comma) 31: 3 2 3 2 3 3 2 3 2 3 2 3 SP M ME SD: 6.3918 c. M:-16.6548 c. 43: 4 3 4 3 4 4 3 4 3 4 3 4 SP M ME SD: 4.2670 c. M:-11.2535 c. 46: 4 3 5 3 4 4 4 4 3 5 3 4 SP D3 I SD: 5.9602 c. M:-10.5913 c. 50: 5 3 5 3 5 4 4 5 3 5 4 4 SP D3 SD: 5.0304 c. M:-10.0000 c. 55: 5 4 5 4 5 5 4 5 4 5 4 5 SP M ME SD: 3.7592 c. M:-8.2091 c. Sauveur's Musician's System 58: 5 4 6 4 5 5 5 5 4 6 4 5 SP D3 I SD: 4.7638 c. M:-6.9931 c. 62: 6 4 6 4 6 5 5 6 4 6 5 5 SP D3 SD: 3.5178 c. M:-7.8258 c. 66: 6 5 6 5 6 5 5 7 4 6 5 6 SP SD: 4.7348 c. M:-6.8000 c. 67: 6 5 6 5 6 6 5 6 5 6 5 6 SP M ME SD: 3.8492 c. M:-6.2552 c. 69: 6 5 7 5 6 6 5 7 4 7 5 6 SP SD: 3.8388 c. M:-6.6000 c. 74: 7 5 7 5 7 6 6 7 5 7 6 6 SP D3 SD: 2.9157 c. M:-7.3027 c. 86: 8 6 8 6 8 7 7 8 6 8 6 8 SP D3 I SD: 2.8742 c. M: 7.0279 c. 88: 8 6 9 6 8 7 7 9 5 9 6 8 SP SD: 3.1667 c. M:-6.1818 c. 93: 9 6 9 7 8 8 7 9 6 9 7 8 SP SD: 2.8832 c. M:-6.6000 c. 96: 9 6 10 6 9 8 8 9 6 10 7 8 SP SD: 3.8504 c. M: 5.9000 c. 97: 9 7 9 7 9 8 7 10 6 9 8 8 SP SD: 3.5062 c. M:-5.6309 c. 98: 9 7 9 7 9 8 8 9 7 9 7 9 SP D3 I SD: 2.8572 c. M: 5.6041 c. 100: 9 7 10 7 9 8 8 10 6 10 7 9 SP SD: 2.3033 c. M:-4.0000 c. 105: 10 7 10 7 10 9 8 10 7 10 8 9 SP SD: 2.2373 c. M: 4.8286 c. 112: 10 8 11 8 10 9 9 11 7 11 8 10 SP SD: 1.8541 c. M:-3.0286 c. 124: 11 9 12 9 11 10 10 12 8 12 9 11 SP SD: 1.7645 c. M: 3.5484 c. 143: 13 10 14 10 13 12 11 14 9 14 11 12 SP SD: 1.4982 c. M:-3.9007 c. 155: 14 11 15 11 14 13 12 15 10 15 11 14 SP SD: 1.3860 c. M: 3.7871 c. 162: 15 11 16 11 15 13 13 16 10 16 12 14 SP SD: 1.4660 c. M:-2.8148 c. 167: 15 12 16 12 15 14 13 16 11 16 12 15 SP SD: 1.3740 c. M: 3.1844 c. 174: 16 12 17 12 16 14 14 17 11 17 13 15 SP SD: 1.1221 c. M: 2.7000 c. 186: 17 13 18 13 17 15 15 18 12 18 14 16 SP SD: 0.9988 c. M: 2.7000 c. 193: 18 13 19 13 18 16 15 19 12 19 14 17 SP SD: 1.2991 c. M:-2.5078 c. 198: 18 14 19 14 18 16 16 19 13 19 15 17 SP SD: 1.0784 c. M: 2.7000 c. 205: 19 14 20 14 19 17 16 20 13 20 15 18 SP SD: 0.8677 c. M:-1.6585 c. 217: 20 15 21 15 20 18 17 21 14 21 16 19 SP SD: 0.5663 c. M: 1.0774 c. 229: 21 16 22 16 21 19 18 22 15 22 17 20 SP SD: 0.5025 c. M: 1.1297 c. 424: 39 29 42 29 39 35 33 41 28 41 31 37 SP SD: 0.4737 c. M:-1.0208 c. 436: 40 30 43 30 40 36 34 42 29 42 32 38 SP SD: 0.3411 c. M:-0.7092 c. 448: 41 31 44 31 41 37 35 43 30 43 33 39 SP SD: 0.3043 c. M:-0.5643 c. 634: 58 44 62 44 58 52 50 61 42 61 47 55 SP SD: 0.3031 c. M: 0.8073 c. 641: 59 44 63 44 59 53 50 62 42 62 47 56 SP SD: 0.3199 c. M:-0.4805 c. 653: 60 45 64 45 60 54 51 63 43 63 48 57 SP SD: 0.1853 c. M:-0.2666 c. 665: 61 46 65 46 61 55 52 64 44 64 49 58 SP SD: 0.0656 c. M:-0.1173 c. 1342: 123 93 131 93 123 111 105 129 89 129 99 117 SP SD: 0.0481 c. M:-0.1052 c. 1559: 143 108 152 108 143 129 122 150 103 150 115 136 SP SD: 0.0533 c. M: 0.1012 c. 2007: 184 139 196 139 184 166 157 193 133 193 148 175 SP SD: 0.0454 c. M:-0.0798 c. 2224: 204 154 217 154 204 184 174 214 147 214 164 194 SP SD: 0.0437 c. M: 0.0763 c. 2236: 205 155 218 155 205 185 175 215 148 215 165 195 SP SD: 0.0349 c. M: 0.1032 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: 2.9487 cents 4 x x x 5 x x 6 x x 7 x 8 S SD: 9.7498 cents 5 x x 6 x x 7 x 8 x 9 x 10 S SD: 4.7137 cents 6 x x 7 x 8 x 9 x 10:11 x 12 S SD: 10.2803 cents 7 x 8 x 9 x 10 x 11:12 x 13:14 S SD: 11.5811 cents 8 x 9 x 10:11 x 12:13 x 14:15:16 S SD: 8.6570 cents 9 x 10:11 x 12:13 x 14:15:16:17:18 S SD: 7.9238 cents 10 x 11:12 x 13:14:15:16:17:18:19:20 S SD: 6.9211 cents 11:12 x 13:14:15:16 x x 18:20:21:22 S SD: 10.4216 cents 12:13 x 14:15:16:17:18:19:20:21:23:24 SD: 6.7592 cents 13:14:15 x 16:17:18:19:21:22:23:24:26 SD: 9.6727 cents 14:15:16:17:18:19:20:21:22:23:25:26:28 SD: 7.1127 cents 15:16:17:18:19:20:21:22:24:25:27:28:30 SD: 4.3980 cents 24:26:27:29:30:32:34:36:38:40:43:45:48 SD: 3.4533 cents 27:29:30:32:34:36:38:40:43:45:48:51:54 SD: 2.9420 cents 32:34:36:38:40:43:45:48:51:54:57:60:64 SD: 2.5602 cents 35:37:39:42:44:47:50:52:56:59:63:66:70 SD: 2.5553 cents 36:38:40:43:45:48:51:54:58:60:64:68:72 SD: 2.4767 cents 41:44:46:49:51:55:58:61:66:69:73:77:82 SD: 2.4551 cents 42:45:47:50:53:56:59:63:67:70:75:79:84 SD: 2.0161 cents 44:47:49:53:55:59:62:66:70:74:79:83:88 SD: 2.0052 cents 48:51:54:57:60:64:68:72:77:80:86:90:96 SD: 1.9679 cents 50:53:56:60:63:67:71:75:80:84:89:94:100 SD: 1.5638 cents 58:62:65:69:73:78:82:87:93:97:104:109:116 SD: 1.5581 cents 59:63:66:71:74:79:84:88:94:99:106:111:118 SD: 1.5248 cents 60:64:67:72:75:80:85:90:96:100:107:113:120 SD: 1.2493 cents 62:66:69:74:78:83:88:93:99:104:111:117:124 SD: 1.1236 cents 75:80:84:90:94:100:106:112:120:126:134:141:150 SD: 1.0350 cents 77:82:86:92:97:103:109:115:123:129:138:145:154 SD: 0.7033 cents 122:130:136:146:153:163:173:182:195:204:218:230:244 SD: 0.6645 cents 127:135:142:152:159:170:180:190:203:213:227:239:254 SD: 0.6388 cents 134:143:150:160:168:179:190:200:214:224:240:252:268 SD: 0.6368 cents 137:146:153:164:172:183:194:205:219:229:245:258:274 SD: 0.3347 cents 204:217:228:244:256:273:289:305:326:341:365:384:408 SD: 0.3270 cents 214:228:239:256:269:286:303:320:342:358:383:403:428 SD: 0.3124 cents 246:262:275:294:309:329:348:368:393:412:440:463:492 SD: 0.3121 cents 254:271:284:304:319:340:360:380:406:425:454:478:508 SD: 0.2996 cents 255:272:285:305:320:341:361:381:408:427:456:480:510 SD: 0.2770 cents 279:297:312:334:350:373:395:417:446:467:499:525:558 SD: 0.2422 cents 305:325:341:365:383:408:432:456:488:510:546:574:610 SD: 0.2392 cents 321:342:359:384:403:429:455:480:513:537:574:604:642 SD: 0.1996 cents 365:389:408:437:458:488:517:546:583:611:653:687:730 SD: 0.1922 cents 408:435:456:488:512:546:578:610:652:683:730:768:816 SD: 0.1555 cents 459:489:513:549:576:614:650:686:734:768:821:864:918 SD: 0.1355 cents 533:568:596:638:669:713:755:797:852:892:953:1004:1066 SD: 0.1336 cents 545:581:609:652:684:729:772:815:871:912:975:1026:1090 SD: 0.1092 cents