Scala analysis: gizmo14-pote
Gizmo in Parapyth POTE, three ~4:6:7:9:11:13 hexads on 1/1, 9/8, 3/2
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 58.339 cents 58.339000 2: 207.712 cents 207.712000 3: 346.771 cents 346.771000 4: 415.424 cents 415.424000 5: 473.763 cents 473.763000 6: 554.483 cents 554.483000 7: 703.856 cents 703.856000 8: 762.195 cents 762.195000 9: 842.915 cents 842.915000 10: 911.568 cents 911.568000 11: 969.907 cents 969.907000 12: 1050.627 cents 1050.627000 13: 1177.619 cents 1177.619000 14: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 22.3810 cents 22.3810 1: 58.3390 cents 58.3390 2: 149.3730 cents 149.3730 3: 139.0590 cents 139.0590 4: 68.6530 cents 68.6530 5: 58.3390 cents 58.3390 6: 80.7200 cents 80.7200 7: 149.3730 cents 149.3730 8: 58.3390 cents 58.3390 9: 80.7200 cents 80.7200 10: 68.6530 cents 68.6530 11: 58.3390 cents 58.3390 12: 80.7200 cents 80.7200 13: 126.9920 cents 126.9920 14: 22.3810 cents 22.3810
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 22.38100 cents 1: 4 58.33900 cents 1: 2 68.65300 cents 1: 3 80.72000 cents 1: 1 126.99200 cents 1: 1 139.05900 cents 1: 2 149.37300 cents 2: 1 80.72000 cents 2: 2 126.99200 cents 2: 3 139.05900 cents 2: 2 149.37300 cents 2: 4 207.71200 cents 2: 1 230.09300 cents 2: 1 288.43200 cents 3: 5 207.71200 cents 3: 2 230.09300 cents 3: 2 266.05100 cents 3: 3 288.43200 cents 3: 1 346.77100 cents 3: 1 357.08500 cents 4: 1 266.05100 cents 4: 3 288.43200 cents 4: 1 334.70400 cents 4: 2 346.77100 cents 4: 3 357.08500 cents 4: 2 369.15200 cents 4: 2 415.42400 cents 5: 2 346.77100 cents 5: 1 357.08500 cents 5: 3 415.42400 cents 5: 1 427.49100 cents 5: 3 437.80500 cents 5: 1 473.76300 cents 5: 3 496.14400 cents 6: 1 415.42400 cents 6: 1 437.80500 cents 6: 1 473.76300 cents 6: 6 496.14400 cents 6: 2 554.48300 cents 6: 1 564.79700 cents 6: 1 576.86400 cents 6: 1 645.51700 cents 7: 2 496.14400 cents 7: 1 554.48300 cents 7: 2 564.79700 cents 7: 2 576.86400 cents 7: 2 623.13600 cents 7: 2 635.20300 cents 7: 1 645.51700 cents 7: 2 703.85600 cents 8: 1 554.48300 cents 8: 1 623.13600 cents 8: 1 635.20300 cents 8: 2 645.51700 cents 8: 6 703.85600 cents 8: 1 726.23700 cents 8: 1 762.19500 cents 8: 1 784.57600 cents 9: 3 703.85600 cents 9: 1 726.23700 cents 9: 3 762.19500 cents 9: 1 772.50900 cents 9: 3 784.57600 cents 9: 1 842.91500 cents 9: 2 853.22900 cents 10: 2 784.57600 cents 10: 2 830.84800 cents 10: 3 842.91500 cents 10: 2 853.22900 cents 10: 1 865.29600 cents 10: 3 911.56800 cents 10: 1 933.94900 cents 11: 1 842.91500 cents 11: 1 853.22900 cents 11: 3 911.56800 cents 11: 2 933.94900 cents 11: 2 969.90700 cents 11: 5 992.28800 cents 12: 1 911.56800 cents 12: 1 969.90700 cents 12: 4 992.28800 cents 12: 2 1050.62700 cents 12: 3 1060.94100 cents 12: 2 1073.00800 cents 12: 1 1119.28000 cents 13: 2 1050.62700 cents 13: 1 1060.94100 cents 13: 1 1073.00800 cents 13: 3 1119.28000 cents 13: 2 1131.34700 cents 13: 4 1141.66100 cents 13: 1 1177.61900 cents Highest number of different intervals for one interval class: 8 Average number of different intervals per interval class: 7.07692 = 92/13
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 13 14 0.0 : 58.3 207.7 346.8 415.4 473.8 554.5 703.9 762.2 842.9 911.6 969.9 1050.6 1177.6 1200.0 58.3 : 149.4 288.4 357.1 415.4 496.1 645.5 703.9 784.6 853.2 911.6 992.3 1119.3 1141.7 1200.0 207.7 : 139.1 207.7 266.1 346.8 496.1 554.5 635.2 703.9 762.2 842.9 969.9 992.3 1050.6 1200.0 346.8 : 68.7 127.0 207.7 357.1 415.4 496.1 564.8 623.1 703.9 830.8 853.2 911.6 1060.9 1200.0 415.4 : 58.3 139.1 288.4 346.8 427.5 496.1 554.5 635.2 762.2 784.6 842.9 992.3 1131.3 1200.0 473.8 : 80.7 230.1 288.4 369.2 437.8 496.1 576.9 703.9 726.2 784.6 933.9 1073.0 1141.7 1200.0 554.5 : 149.4 207.7 288.4 357.1 415.4 496.1 623.1 645.5 703.9 853.2 992.3 1060.9 1119.3 1200.0 703.9 : 58.3 139.1 207.7 266.1 346.8 473.8 496.1 554.5 703.9 842.9 911.6 969.9 1050.6 1200.0 762.2 : 80.7 149.4 207.7 288.4 415.4 437.8 496.1 645.5 784.6 853.2 911.6 992.3 1141.7 1200.0 842.9 : 68.7 127.0 207.7 334.7 357.1 415.4 564.8 703.9 772.5 830.8 911.6 1060.9 1119.3 1200.0 911.6 : 58.3 139.1 266.1 288.4 346.8 496.1 635.2 703.9 762.2 842.9 992.3 1050.6 1131.3 1200.0 969.9 : 80.7 207.7 230.1 288.4 437.8 576.9 645.5 703.9 784.6 933.9 992.3 1073.0 1141.7 1200.0 1050.6: 127.0 149.4 207.7 357.1 496.1 564.8 623.1 703.9 853.2 911.6 992.3 1060.9 1119.3 1200.0 1177.6: 22.4 80.7 230.1 369.2 437.8 496.1 576.9 726.2 784.6 865.3 933.9 992.3 1073.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 22.3810 .. 149.3730 cents 126.99200 cents 22.38100 cents 2: 80.7200 .. 288.4320 cents 207.71200 cents -68.65300 cents 3: 207.7120 .. 357.0850 cents 149.37300 cents -80.72000 cents 4: 266.0510 .. 415.4240 cents 149.37300 cents -91.03400 cents 5: 346.7710 .. 496.1440 cents 149.37300 cents -68.65300 cents 6: 415.4240 .. 645.5170 cents 230.09300 cents -80.72000 cents 7: 496.1440 .. 703.8560 cents 207.71200 cents -149.37300 cents 8: 554.4830 .. 784.5760 cents 230.09300 cents -149.37300 cents 9: 703.8560 .. 853.2290 cents 149.37300 cents -80.72000 cents 10: 784.5760 .. 933.9490 cents 149.37300 cents -68.65300 cents 11: 842.9150 .. 992.2880 cents 149.37300 cents -91.03400 cents 12: 911.5680 .. 1119.2800 cents 207.71200 cents -80.72000 cents 13: 1050.6270 .. 1177.6190 cents 126.99200 cents -68.65300 cents
SHOW DATA
Number of notes : 14 -- Interval properties -- Smallest interval : 22.38100 cents, class 1 Average step (divided formal octave): 85.7143 cents Largest one step interval : 149.37300 cents Average / Smallest step : 3.829779 Largest / Average step : 1.742685 Largest / Smallest step : 6.674099 Median interval of one step : 74.68650 cents, amount: 0 Most common interval of one step : 58.33900 cents, amount: 4 Least squares average step : 90.62414 cents, oct.: 1268.73793 cents Scale is not proper Step pattern alph. order: ABCDAEBAEDAEFG Step pattern size order : BGFCBDGBDCBDEA Scale is not a Constant Structure Scale diversity : 1.328912 Lumma stability : 0.037302 Lumma impropriety factor : 0.768235 Number of different interval sizes : 46 = 3.53846 / class Number of one step interval sizes : 7 Highest interval variety : 8 Mean interval variety : 7.07692 = 92/13 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 10.31400 cents Most common intervals : 496.14400 cents & inv., amount: 11 Most common triad is 0.0 496.144 703.856 cents, amount: 8 Number of recognisable fifths : 11, average 703.8560 cents Formal octave complements present : 1 = 7.1429% -- Rational properties -- Prime limit : 2 (not all pitches rational)
FIT/MODE
14: 0 2 2 0 1 1 2 0 1 1 1 1 1 1 N SD: 48.6528 c. M: 76.4807 c. 15: 1 2 1 1 1 1 2 1 1 0 1 1 2 0 N SD: 22.8494 c. M:-37.8050 c. 16: 1 2 2 1 0 1 2 1 1 1 1 1 2 0 N SD: 20.6435 c. M:-34.5760 c. 17: 1 2 2 1 1 1 2 1 1 1 1 1 2 0 N SD: 11.8174 c. M:-22.3810 c. 29: 1 4 3 2 1 2 4 1 2 2 1 2 3 1 N SD: 13.7545 c. M: 18.9983 c. 30: 1 4 3 2 2 2 3 2 2 2 1 2 3 1 N SD: 13.6139 c. M: 26.7710 c. 32: 2 4 3 2 2 2 4 1 2 2 2 2 3 1 N SD: 11.5173 c. M: 17.9150 c. 33: 2 4 4 1 2 2 4 2 2 2 2 2 3 1 N SD: 10.3270 c. M:-16.8654 c. 37: 2 4 5 2 2 2 5 2 2 2 2 2 4 1 N SD: 9.1250 c. M:-16.1834 c. 38: 2 5 4 2 2 3 4 2 3 2 2 2 4 1 N SD: 7.8951 c. M:-13.9381 c. 41: 2 5 5 2 2 3 5 2 3 2 2 3 4 1 N SD: 3.9780 c. M: 6.8873 c. 58: 3 7 7 3 3 4 7 3 4 3 3 4 6 1 N SD: 3.1000 c. M:-5.3609 c. 63: 3 8 7 4 3 4 8 3 4 4 3 4 7 1 N SD: 2.6386 c. M: 4.8198 c. 87: 4 11 10 5 4 6 11 4 6 5 4 6 9 2 N SD: 2.8840 c. M: 5.2052 c. 99: 5 12 12 5 5 7 12 5 7 5 5 7 10 2 N SD: 2.8120 c. M:-5.5698 c. 104: 5 13 12 6 5 7 13 5 7 6 5 7 11 2 N SD: 0.5219 c. M: 0.6959 c. 225: 11 28 26 13 11 15 28 11 15 13 11 15 24 4 N SD: 0.5036 c. M:-1.0477 c. 266: 13 33 31 15 13 18 33 13 18 15 13 18 28 5 N SD: 0.3494 c. M:-0.6940 c. 329: 16 41 38 19 16 22 41 16 22 19 16 22 35 6 N SD: 0.2705 c. M:-0.4965 c. 370: 18 46 43 21 18 25 46 18 25 21 18 25 39 7 N SD: 0.2028 c. M:-0.3282 c. 474: 23 59 55 27 23 32 59 23 32 27 23 32 50 9 N SD: 0.1947 c. M: 0.4038 c. 578: 28 72 67 33 28 39 72 28 39 33 28 39 61 11 N SD: 0.2275 c. M: 0.4564 c. 595: 29 74 69 34 29 40 74 29 40 34 29 40 63 11 N SD: 0.1244 c. M:-0.1961 c. 699: 34 87 81 40 34 47 87 34 47 40 34 47 74 13 N SD: 0.0319 c. M:-0.0634 c. 1502: 73 187 174 86 73 101 187 73 101 86 73 101 159 28 N SD: 0.0196 c. M: 0.0388 c. 2201: 107 274 255 126 107 148 274 107 148 126 107 148 233 41 N SD: 0.0165 c. M:-0.0275 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 3 x x x x x x 4 S SD: 0.9505 cents 3 x x x x 4 x x x x 5 x x x 6 S SD: 12.1562 cents 4 x x x 5 x x 6 x x x 7 x x 8 S SD: 7.2981 cents 5 x x 6 x x 7 x x 8 x x 9 x 10 S SD: 12.1656 cents 6 x 7 x x 8 x 9 x x 10 x 11 x 12 S SD: 11.5890 cents 7 x 8 x 9 x 10 x 11 x 12 x 13 x 14 S SD: 11.2736 cents 8 x 9 x 10 x 11:12 x 13 x 14:15 x 16 S SD: 5.9938 cents 9 x 10:11 x 12 x x 14 x 15:16:17 x 18 S SD: 9.0189 cents 10 x 11:12 x 13:14:15 x 16:17 x 18 x 20 S SD: 8.5778 cents 11 x 12:13:14 x 15 x 17:18 x 19:20 x 22 SD: 9.8483 cents 12 x 14 x 15:16:17:18:19 x 20:21:22 x 24 S SD: 9.5659 cents 13:14:15:16 x 17:18 x 20:21:22:23:24 x 26 S SD: 7.9717 cents 14:15:16:17:18 x 19:21:22:23:24:25:26 x 28 SD: 7.5444 cents 15:16:17:18:19:20:21 x 23:24:25:26:28 x 30 SD: 7.7316 cents 16:17:18 x 20:21:22:24:25:26:27:28:29 x 32 SD: 5.0338 cents 17:18:19:21 x 22:23 x 26:28:29:30:31 x 34 SD: 6.7870 cents 18:19:20:22:23:24:25:27:28:29:30:32:33 x 36 SD: 5.1559 cents 19:20:21:23:24:25:26:29:30:31:32:33:35 x 38 SD: 5.2108 cents 21:22:24:26:27:28:29:32:33:34:36:37:39:41:42 SD: 5.0980 cents 22:23:25:27:28:29:30:33:34:36:37:39:40:43:44 SD: 3.3710 cents 26:27:29:32:33:34:36:39:40:42:44:46:48:51:52 SD: 2.9684 cents 29:30:33:35:37:38:40:44:45:47:49:51:53:57:58 SD: 2.6027 cents 32:33:36:39:41:42:44:48:50:52:54:56:59:63:64 SD: 1.6164 cents 48:50:54:59:61:63:66:72:75:78:81:84:88:95:96 SD: 1.5425 cents 54:56:61:66:69:71:74:81:84:88:91:95:99:107:108 SD: 1.3966 cents 56:58:63:68:71:74:77:84:87:91:95:98:103:111:112 SD: 1.2962 cents 63:65:71:77:80:83:87:95:98:103:107:110:116:124:126 SD: 1.2402 cents 64:66:72:78:81:84:88:96:99:104:108:112:117:126:128 SD: 1.2142 cents 72:74:81:88:92:95:99:108:112:117:122:126:132:142:144 SD: 1.2088 cents 76:79:86:93:97:100:105:114:118:124:129:133:139:150:152 SD: 1.1818 cents 77:80:87:94:98:101:106:116:120:125:130:135:141:152:154 SD: 1.0627 cents 80:83:90:98:102:105:110:120:124:130:135:140:147:158:160 SD: 0.9385 cents 85:88:96:104:108:112:117:128:132:138:144:149:156:168:170 SD: 0.6492 cents 108:112:122:132:137:142:149:162:168:176:183:189:198:213:216 SD: 0.6335 cents 117:121:132:143:149:154:161:176:182:190:198:205:215:231:234 SD: 0.5390 cents 140:145:158:171:178:184:193:210:217:228:237:245:257:276:280 SD: 0.4368 cents 172:178:194:210:219:226:237:258:267:280:291:301:316:340:344 SD: 0.3912 cents 199:206:224:243:253:262:274:299:309:324:337:348:365:393:398 SD: 0.3623 cents 203:210:229:248:258:267:280:305:315:330:344:355:372:401:406 SD: 0.3617 cents 204:211:230:249:259:268:281:306:317:332:345:357:374:403:408 SD: 0.3307 cents 225:233:254:275:286:296:310:338:349:366:381:394:413:444:450 SD: 0.3051 cents 235:243:265:287:299:309:324:353:365:382:398:412:431:464:470 SD: 0.2682 cents 257:266:290:314:327:338:354:386:399:418:435:450:472:507:514 SD: 0.2578 cents 289:299:326:353:367:380:398:434:449:470:489:506:530:571:578 SD: 0.2175 cents 321:332:362:392:408:422:442:482:499:522:543:562:589:634:642 SD: 0.2031 cents 347:359:391:424:441:456:478:521:539:565:587:608:637:685:694 SD: 0.1993 cents 384:397:433:469:488:505:529:577:596:625:650:672:705:758:768 SD: 0.1869 cents 387:400:436:473:492:509:533:581:601:630:655:678:710:764:774 SD: 0.1708 cents 410:424:462:501:521:539:565:616:637:667:694:718:752:809:820 SD: 0.1561 cents 461:477:520:563:586:606:635:692:716:750:781:807:846:910:922 SD: 0.1451 cents 495:512:558:605:629:651:682:743:769:805:838:867:908:977:990 SD: 0.1378 cents 501:518:565:612:637:659:690:752:778:815:848:877:919:989:1002 SD: 0.1255 cents 550:569:620:672:699:723:758:826:854:895:931:963:1009:1086:1100 SD: 0.0925 cents 582:602:656:711:740:765:802:874:904:947:985:1019:1068:1149:1164 SD: 0.0922 cents