Scala analysis: parizekmic14
Parizekmic[14] (676/675 tempering), POTE tuning
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 44.446 cents 44.446140 2: 204.443 cents 204.443090 3: 248.889 cents 248.889230 4: 293.335 cents 293.335360 5: 453.332 cents 453.332320 6: 497.778 cents 497.778450 7: 657.775 cents 657.775410 8: 702.222 cents 702.221550 9: 746.668 cents 746.667680 10: 906.665 cents 906.664640 11: 951.111 cents 951.110770 12: 995.557 cents 995.556910 13: 1155.554 cents 1155.553860 14: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 44.4461 cents 44.4461 1: 44.4461 cents 44.4461 2: 159.9970 cents 159.9970 3: 44.4461 cents 44.4461 4: 44.4461 cents 44.4461 5: 159.9970 cents 159.9970 6: 44.4461 cents 44.4461 7: 159.9970 cents 159.9970 8: 44.4461 cents 44.4461 9: 44.4461 cents 44.4461 10: 159.9970 cents 159.9970 11: 44.4461 cents 44.4461 12: 44.4461 cents 44.4461 13: 159.9969 cents 159.9969 14: 44.4461 cents 44.4461
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 9 44.44614 cents 1: 5 159.99695 cents 2: 4 88.89227 cents 2: 10 204.44309 cents 3: 13 248.88923 cents 3: 1 364.44005 cents 4: 8 293.33536 cents 4: 6 408.88618 cents 5: 3 337.78150 cents 5: 11 453.33232 cents 6: 12 497.77845 cents 6: 2 613.32927 cents 7: 7 542.22459 cents 7: 7 657.77541 cents 8: 2 586.67073 cents 8: 12 702.22155 cents 9: 11 746.66768 cents 9: 3 862.21850 cents 10: 6 791.11382 cents 10: 8 906.66464 cents 11: 1 835.55995 cents 11: 13 951.11077 cents 12: 10 995.55691 cents 12: 4 1111.10772 cents 13: 5 1040.00305 cents 13: 9 1155.55386 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 2.00000 = 2
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 13 14 0.0 : 44.4 204.4 248.9 293.3 453.3 497.8 657.8 702.2 746.7 906.7 951.1 995.6 1155.6 1200.0 44.4 : 160.0 204.4 248.9 408.9 453.3 613.3 657.8 702.2 862.2 906.7 951.1 1111.1 1155.6 1200.0 204.4 : 44.4 88.9 248.9 293.3 453.3 497.8 542.2 702.2 746.7 791.1 951.1 995.6 1040.0 1200.0 248.9 : 44.4 204.4 248.9 408.9 453.3 497.8 657.8 702.2 746.7 906.7 951.1 995.6 1155.6 1200.0 293.3 : 160.0 204.4 364.4 408.9 453.3 613.3 657.8 702.2 862.2 906.7 951.1 1111.1 1155.6 1200.0 453.3 : 44.4 204.4 248.9 293.3 453.3 497.8 542.2 702.2 746.7 791.1 951.1 995.6 1040.0 1200.0 497.8 : 160.0 204.4 248.9 408.9 453.3 497.8 657.8 702.2 746.7 906.7 951.1 995.6 1155.6 1200.0 657.8 : 44.4 88.9 248.9 293.3 337.8 497.8 542.2 586.7 746.7 791.1 835.6 995.6 1040.0 1200.0 702.2 : 44.4 204.4 248.9 293.3 453.3 497.8 542.2 702.2 746.7 791.1 951.1 995.6 1155.6 1200.0 746.7 : 160.0 204.4 248.9 408.9 453.3 497.8 657.8 702.2 746.7 906.7 951.1 1111.1 1155.6 1200.0 906.7 : 44.4 88.9 248.9 293.3 337.8 497.8 542.2 586.7 746.7 791.1 951.1 995.6 1040.0 1200.0 951.1 : 44.4 204.4 248.9 293.3 453.3 497.8 542.2 702.2 746.7 906.7 951.1 995.6 1155.6 1200.0 995.6 : 160.0 204.4 248.9 408.9 453.3 497.8 657.8 702.2 862.2 906.7 951.1 1111.1 1155.6 1200.0 1155.6: 44.4 88.9 248.9 293.3 337.8 497.8 542.2 702.2 746.7 791.1 951.1 995.6 1040.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 44.4461 .. 159.9970 cents 115.55081 cents 44.44614 cents 2: 88.8923 .. 204.4431 cents 115.55082 cents -71.10468 cents 3: 248.8892 .. 364.4401 cents 115.55082 cents 44.44614 cents 4: 293.3354 .. 408.8862 cents 115.55082 cents -71.10469 cents 5: 337.7815 .. 453.3323 cents 115.55082 cents -71.10468 cents 6: 497.7785 .. 613.3293 cents 115.55082 cents 44.44613 cents 7: 542.2246 .. 657.7754 cents 115.55082 cents -71.10468 cents 8: 586.6707 .. 702.2215 cents 115.55082 cents -71.10468 cents 9: 746.6677 .. 862.2185 cents 115.55082 cents 44.44613 cents 10: 791.1138 .. 906.6646 cents 115.55082 cents -71.10468 cents 11: 835.5599 .. 951.1108 cents 115.55082 cents -71.10469 cents 12: 995.5569 .. 1111.1077 cents 115.55081 cents 44.44614 cents 13: 1040.0030 .. 1155.5539 cents 115.55081 cents -71.10467 cents
SHOW DATA
Number of notes : 14 -- Interval properties -- Smallest interval : 44.44613 cents, class 1 Average step (divided formal octave): 85.7143 cents Largest one step interval : 159.99695 cents Average / Smallest step : 1.928498 Largest / Average step : 1.866631 Largest / Smallest step : 3.599795 Median interval of one step : 44.44614 cents, amount: 9 Most common interval of one step : 44.44614 cents, amount: 9 Least squares average step : 86.56811 cents, oct.: 1211.95353 cents Scale is not proper Scale has Myhill's property chromas: 115.55081 cents and 71.10467 cents, ratio: 1.625080 generators: 3 of 248.88923 cents and 11 of 951.11077 cents ET pair of linear temperament : 24&29 Scale is distributional even Scale is a mode of a 135-tone equal temperament with octave 2/1 degrees: 5 23 28 33 51 56 74 79 84 102 107 112 130 135 generators: 28 and 107 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABAABABAABAABA Step pattern size order : SLSSLSLSSLSSLS Interval vector is [ 0 0 0 0 9 0 0 0 0 4 0 0 0 0 0 0 0 5 0 0 0 0 10 0 0 0 0 13 0 0 0 0 8 0 0 0 0 3 0 0 1 0 0 0 0 6 0 0 0 0 11 0 0 0 0 12 0 0 0 0 7 0 0 0 0 2 0 ] Scale is a Constant Structure, by a margin of 26.65854 cents Scale diversity : 1.232390 Lumma stability : 0.222231 Lumma impropriety factor : 0.407385 Rothenberg efficiency : 0.714286 redundancy: 0.285714 Efficiency x scale size : 10.000000 Number of different interval sizes : 26 = 2.00000 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 2.00000 = 2 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 26.65854 cents Most common intervals : 248.88923 cents & inv., amount: 13 Scale is a chain of 7 triads 0.0 293.335 951.111 cents Most common triad is 0.0 248.889 951.111 cents, amount: 12 Number of recognisable fifths : 12, average 702.2215 cents Scale contains two identical disjunct heptachords Formal octave complements present : 13 = 92.8571% Limited inverse transpositions : 11 Inversional symmetry on intervals : 5-6 12-13 -- Rational properties -- Prime limit : 2 (not all pitches rational)
FIT/MODE
14: 0 2 0 1 2 0 2 1 0 2 1 0 2 1 N T3 SD: 46.3718 c. M: 77.4607 c. 15: 1 2 0 1 2 0 2 1 0 2 1 0 2 1 N SD: 25.3648 c. M: 35.5569 c. 16: 1 2 0 1 2 1 2 0 1 2 1 0 2 1 N T3 SD: 20.2544 c. M:-30.5539 c. 19: 1 2 1 1 2 1 2 1 1 2 1 1 2 1 P M ME SD: 15.2015 c. M: 26.1965 c. 22: 1 3 1 0 3 1 3 1 1 3 0 1 3 1 N SD: 15.2317 c. M:-23.8380 c. 24: 1 3 1 1 3 1 3 1 1 3 1 1 3 1 N M DE SD: 4.5120 c. M: 7.7754 c. 29: 1 4 1 1 4 1 4 1 1 4 1 1 4 1 N M DE SD: 2.4915 c. M:-4.2936 c. 53: 2 7 2 2 7 2 7 2 2 7 2 2 7 2 N M DE SD: 0.6799 c. M: 1.1716 c. 82: 3 11 3 3 11 3 11 3 3 11 3 3 11 3 N M DE SD: 0.4417 c. M:-0.7612 c. 135: 5 18 5 5 18 5 18 5 5 18 5 5 18 5 N M DE SD: 0.0014 c. M:-0.0024 c.
FIT/HARMONIC
1 x x x x x x x x x x x x x 2 S SD: 0.0000 cents 2 x x x x x x x 3 x x x x x 4 S SD: 0.1333 cents 3 x x x x x 4 x x x 5 x x x 6 S SD: 7.4358 cents 4 x x x x 5 x x 6 x x 7 x x 8 S SD: 17.3302 cents 5 x x x 6 x x 7 x 8 x x 9 x 10 S SD: 21.1086 cents 6 x x 7 x x 8 x 9 x 10 x 11 x 12 S SD: 10.1600 cents 7 x x 8 x 9 x 10 x 11 x 12 x x 14 S SD: 10.3771 cents 8 x 9 x x 10:11 x 12 x x 14 x x 16 S SD: 14.5985 cents 9 x 10 x 11 x 12:13 x 14:15 x 16 x 18 S SD: 8.5587 cents 10 x 11 x 12:13 x x 15 x 17 x 18:19:20 SD: 8.5242 cents 11 x 12 x 13:14:15:16 x 17 x 19:20:21:22 SD: 9.3506 cents 12 x x 14 x x 16 x 18 x 20:21 x 23:24 SD: 6.3720 cents 13 x x 15 x 17 x 19 x 20:22 x 23:25:26 SD: 3.4323 cents 14:15 x 16:17:18:19:20:21:22 x 24:25:27:28 SD: 9.3907 cents 15:16:17 x 18:19:20:22 x 23:25:26:27:29:30 SD: 7.6278 cents 16:17:18 x 19:21 x 23:24:25:27:28 x 31:32 SD: 7.0141 cents 17:18:19 x 20:22:23:25 x 26:29 x 30:33:34 SD: 6.2341 cents 18:19:20:21 x 23:24:26:27:28:30:31:32:35:36 SD: 5.6848 cents 19:20:21:22:23:25 x 28 x 29:32:33:34:37:38 SD: 6.1341 cents 20:21 x 23:24:26:27:29:30:31:34:35:36:39:40 SD: 4.8170 cents 21:22 x 24:25:27:28:31 x 32:35:36:37:41:42 SD: 5.0353 cents 22:23:25 x 26 x 29:32:33:34:37:38:39:43:44 SD: 3.7080 cents 23:24:26 x 27:30:31:34 x 35:39:40:41:45:46 SD: 4.1592 cents 24:25:27:28 x 31:32:35:36:37:41:42:43:47:48 SD: 3.5560 cents 25:26:28:29:30:32:33:37 x 38:42:43:44:49:50 SD: 4.6518 cents 26:27:29:30:31:34:35:38:39:40:44:45:46:51:52 SD: 2.6772 cents 28:29 x 32:33:36:37:41:42:43:47:49:50:55:56 SD: 3.3562 cents 29:30:33 x 34:38:39:42:44:45:49:50:52:57:58 SD: 3.9960 cents 30:31:34:35:36:39:40:44:45:46:51:52:53:58:60 SD: 2.9014 cents 32:33:36:37:38:42:43:47:48:49:54:55:57:62:64 SD: 2.3082 cents 33:34:37:38:39:43:44:48:50:51:56:57:59:64:66 SD: 2.1052 cents 39:40:44:45:46:51:52:57:59:60:66:68:69:76:78 SD: 1.7774 cents 48:49:54:55:57:62:64:70:72:74:81:83:85:94:96 SD: 1.6214 cents 54:55:61:62:64:70:72:79:81:83:91:94:96:105:108 SD: 1.4718 cents 63:65:71:73:75:82:84:92:95:97:106:109:112:123:126 SD: 1.3356 cents 64:66:72:74:76:83:85:94:96:99:108:111:114:125:128 SD: 1.2781 cents 70:72:79:81:83:91:93:102:105:108:118:121:124:136:140 SD: 1.0916 cents 71:73:80:82:84:92:95:104:107:109:120:123:126:138:142 SD: 1.0424 cents 76:78:86:88:90:99:101:111:114:117:128:132:135:148:152 SD: 1.0399 cents 78:80:88:90:92:101:104:114:117:120:132:135:139:152:156 SD: 0.8929 cents 80:82:90:92:95:104:107:117:120:123:135:139:142:156:160 SD: 0.8435 cents 102:105:115:118:121:133:136:149:153:157:172:177:181:199:204 SD: 0.7945 cents 104:107:117:120:123:135:139:152:156:160:176:180:185:203:208 SD: 0.6522 cents 130:133:146:150:154:169:173:190:195:200:219:225:231:253:260 SD: 0.6135 cents 141:145:159:163:167:183:188:206:212:217:238:244:251:275:282 SD: 0.5786 cents 150:154:169:173:178:195:200:219:225:231:253:260:267:292:300 SD: 0.4690 cents 180:185:203:208:213:234:240:263:270:277:304:312:320:351:360 SD: 0.4144 cents 184:189:207:212:218:239:245:269:276:283:311:319:327:359:368 SD: 0.4102 cents 190:195:214:219:225:247:253:278:285:292:321:329:338:370:380 SD: 0.4093 cents 193:198:217:223:229:251:257:282:290:297:326:334:343:376:386 SD: 0.4005 cents 200:205:225:231:237:260:267:292:300:308:338:346:355:390:400 SD: 0.3981 cents 201:206:226:232:238:261:268:294:302:309:339:348:357:392:402 SD: 0.3617 cents 228:234:257:263:270:296:304:333:342:351:385:395:405:444:456 SD: 0.3326 cents 232:238:261:268:275:301:309:339:348:357:392:402:412:452:464 SD: 0.3024 cents 234:240:263:270:277:304:312:342:351:360:395:405:416:456:468 SD: 0.2507 cents 264:271:297:305:313:343:352:386:396:406:446:457:469:515:528 SD: 0.2405 cents 270:277:304:312:320:351:360:395:405:416:456:468:480:526:540 SD: 0.2375 cents 304:312:342:351:360:395:405:445:456:468:513:527:540:593:608 SD: 0.2347 cents 310:318:349:358:367:403:413:453:465:477:523:537:551:604:620 SD: 0.1999 cents 336:345:378:388:398:437:448:491:504:517:567:582:597:655:672 SD: 0.1942 cents 390:400:439:450:462:507:520:570:585:600:658:676:693:760:780 SD: 0.1914 cents 414:425:466:478:490:538:552:605:621:637:699:717:736:807:828 SD: 0.1682 cents 454:466:511:524:538:590:605:664:681:699:766:786:807:885:908 SD: 0.1503 cents 471:483:530:544:558:612:628:689:707:725:795:816:837:918:942 SD: 0.1243 cents 504:517:567:582:597:655:672:737:756:776:851:873:896:982:1008 SD: 0.1004 cents