Scala analysis: xen18-erlich-myna-11
4L 7s MOS for Myna, L=228.43, s=40.73
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 40.730 cents 40.730000 2: 269.160 cents 269.160000 3: 309.890 cents 309.890000 4: 350.620 cents 350.620000 5: 579.050 cents 579.050000 6: 619.780 cents 619.780000 7: 848.210 cents 848.210000 8: 888.940 cents 888.940000 9: 929.670 cents 929.670000 10: 1158.100 cents 1158.100000 11: 1198.830 cents 1198.830000
SHOW/INTERVAL
0: 40.7300 cents 40.7300 1: 40.7300 cents 40.7300 2: 228.4300 cents 228.4300 3: 40.7300 cents 40.7300 4: 40.7300 cents 40.7300 5: 228.4300 cents 228.4300 6: 40.7300 cents 40.7300 7: 228.4300 cents 228.4300 8: 40.7300 cents 40.7300 9: 40.7300 cents 40.7300 10: 228.4300 cents 228.4300 11: 40.7300 cents 40.7300
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 7 40.73000 cents 1: 4 228.43000 cents 2: 3 81.46000 cents 2: 8 269.16000 cents 3: 10 309.89000 cents 3: 1 497.59000 cents 4: 6 350.62000 cents 4: 5 538.32000 cents 5: 2 391.35000 cents 5: 9 579.05000 cents 6: 9 619.78000 cents 6: 2 807.48000 cents 7: 5 660.51000 cents 7: 6 848.21000 cents 8: 1 701.24000 cents 8: 10 888.94000 cents 9: 8 929.67000 cents 9: 3 1117.37000 cents 10: 4 970.40000 cents 10: 7 1158.10000 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 0.0 : 40.7 269.2 309.9 350.6 579.0 619.8 848.2 888.9 929.7 1158.1 1198.8 40.7 : 228.4 269.2 309.9 538.3 579.1 807.5 848.2 888.9 1117.4 1158.1 1198.8 269.2 : 40.7 81.5 309.9 350.6 579.1 619.8 660.5 888.9 929.7 970.4 1198.8 309.9 : 40.7 269.2 309.9 538.3 579.1 619.8 848.2 888.9 929.7 1158.1 1198.8 350.6 : 228.4 269.2 497.6 538.3 579.0 807.5 848.2 888.9 1117.4 1158.1 1198.8 579.0 : 40.7 269.2 309.9 350.6 579.1 619.8 660.5 888.9 929.7 970.4 1198.8 619.8 : 228.4 269.2 309.9 538.3 579.0 619.8 848.2 888.9 929.7 1158.1 1198.8 848.2 : 40.7 81.5 309.9 350.6 391.3 619.8 660.5 701.2 929.7 970.4 1198.8 888.9 : 40.7 269.2 309.9 350.6 579.0 619.8 660.5 888.9 929.7 1158.1 1198.8 929.7 : 228.4 269.2 309.9 538.3 579.0 619.8 848.2 888.9 1117.4 1158.1 1198.8 1158.1: 40.7 81.5 309.9 350.6 391.4 619.8 660.5 888.9 929.7 970.4 1198.8 1198.8
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 40.7300 .. 228.4300 cents 187.70000 cents 40.73000 cents 2: 81.4600 .. 269.1600 cents 187.70000 cents -146.97000 cents 3: 309.8900 .. 497.5900 cents 187.70000 cents 40.73000 cents 4: 350.6200 .. 538.3200 cents 187.70000 cents -146.97000 cents 5: 391.3500 .. 579.0500 cents 187.70000 cents -146.97000 cents 6: 619.7800 .. 807.4800 cents 187.70000 cents 40.73000 cents 7: 660.5100 .. 848.2100 cents 187.70000 cents -146.97000 cents 8: 701.2400 .. 888.9400 cents 187.70000 cents -146.97000 cents 9: 929.6700 .. 1117.3700 cents 187.70000 cents 40.73000 cents 10: 970.4000 .. 1158.1000 cents 187.70000 cents -146.97000 cents
SHOW DATA
Number of notes : 11 -- Interval properties -- Smallest interval : 40.73000 cents, class 1 Average step (divided formal octave): 108.9845 cents Largest one step interval : 228.43000 cents Average / Smallest step : 2.675781 Largest / Average step : 2.095985 Largest / Smallest step : 5.608397 Median interval of one step : 40.73000 cents, amount: 7 Most common interval of one step : 40.73000 cents, amount: 7 Least squares average step : 110.09739 cents, oct.: 1211.07130 cents Scale is not proper Scale has Myhill's property chromas: 187.70000 cents and 146.97000 cents, ratio: 1.277131 generators: 3 of 309.89000 cents and 8 of 888.94000 cents ET pair of linear temperament : 27&31 Scale is distributional even Scale is a mode of a 677-tone equal temperament with octave 1198.830 cents degrees: 23 152 175 198 327 350 479 502 525 654 677 generators: 175 and 502 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABAABABAABA Step pattern size order : SLSSLSLSSLS Scale is a Constant Structure, by a margin of 40.73000 cents Scale diversity : 1.137834 Lumma stability : 0.169874 Lumma impropriety factor : 0.558328 Rothenberg efficiency : 0.727273 redundancy: 0.272727 Efficiency x scale size : 8.000000 Number of different interval sizes : 20 = 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 : 40.73000 cents Most common intervals : 309.89000 cents & inv., amount: 10 Scale is a chain of 5 triads 0.0 350.620 888.940 cents Most common triad is 0.0 309.890 888.940 cents, amount: 9 Number of recognisable fifths : 1, average 701.2400 cents Number of recognisable fourths : 1, average 497.5900 cents Scale contains two identical conjunct hexachords Formal octave complements present : 11 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 5-6 -- Rational properties --
FIT/MODE
11: 0 2 1 0 2 1 2 0 1 2 0 N I SD: 33.8321 c. M: 51.1909 c. 12: 0 2 1 0 3 0 2 1 0 2 1 N SD: 39.2342 c. M: 69.3550 c. 13: 0 3 0 1 2 1 2 1 0 3 0 N I SD: 26.3391 c. M:-40.7300 c. 14: 0 3 1 0 3 0 3 0 1 3 0 N I SD: 24.6968 c. M:-40.7300 c. 16: 1 3 0 1 3 0 3 1 0 3 1 N I SD: 24.1122 c. M:-34.1969 c. 17: 1 3 0 1 3 1 3 1 0 3 1 N I SD: 19.3229 c. M:-29.7894 c. 18: 1 3 1 0 4 0 4 0 1 3 1 N I SD: 18.7630 c. M:-25.8717 c. 19: 1 3 1 1 3 1 3 1 1 3 1 N M DE I SD: 17.6821 c. M: 27.9579 c. 21: 1 4 0 1 4 1 4 1 0 4 1 N I SD: 15.1533 c. M:-24.4543 c. 22: 1 4 1 0 5 0 5 0 1 4 1 N I SD: 16.3279 c. M: 23.6664 c. 23: 1 4 1 1 4 1 4 1 1 4 1 N M DE I SD: 9.0070 c. M: 14.2413 c. 27: 1 5 1 1 5 1 5 1 1 5 1 N M DE I SD: 2.9023 c. M: 4.5889 c. Myna-11 31: 1 6 1 1 6 1 6 1 1 6 1 N M DE I SD: 1.6270 c. M: 2.5726 c. Myna-11 58: 2 11 2 2 11 2 11 2 2 11 2 N M DE I SD: 0.4814 c. M: 0.7612 c. Myna-11 89: 3 17 3 3 17 3 17 3 3 17 3 N M DE I SD: 0.2530 c. M: 0.4000 c. Myna-11 147: 5 28 5 5 28 5 28 5 5 28 5 N M DE I SD: 0.0368 c. M: 0.0582 c. 383: 13 73 13 13 73 13 73 13 13 73 13 N M DE I SD: 0.0305 c. M: 0.0483 c. 530: 18 101 18 18 101 18 101 18 18 101 18 N M DE I SD: 0.0119 c. M: 0.0188 c. 677: 23 129 23 23 129 23 129 23 23 129 23 N M DE I SD: 0.0013 c. M: 0.0021 c. 2178: 74 415 74 74 415 74 415 74 74 415 74 N M DE I SD: 0.0013 c. M: 0.0020 c.
FIT/HARMONIC
1 x x x x x x x x x x 2 S SD: 1.1700 cents 2 x x x x x 3 x x x x 4 S SD: 41.0917 cents 3 x x x x 4 x x 5 x x 6 S SD: 27.0476 cents 4 x x x 5 x 6 x x 7 x 8 S SD: 24.4455 cents 5 x x 6 x 7 x 8 x 9 x 10 S SD: 18.9413 cents 6 x 7 x x 8:9 x 10 x x 12 S SD: 23.1016 cents 7 x 8 x 9 x 10:11 x 12 x 14 S SD: 18.9404 cents 8 x 9 x 10:11 x 13 x 14 x 16 SD: 14.8083 cents 9 x x x 11 x 13 x 15 x x 18 SD: 4.4454 cents 10 x x 12 x 14 x 16 x 17 x 20 SD: 7.3755 cents 11:12:13 x x 15:16:18 x 19:21:22 SD: 16.2383 cents 12:13:14 x 15 x 17 x 20:21:23:24 SD: 14.6306 cents 13:14:15 x 16:18:19:21 x 22:25:26 SD: 11.7543 cents 14:15:16 x 17 x 20:23 x 24:27:28 SD: 11.4817 cents 15:16 x 18 x 21 x 24:25:26:29:30 SD: 10.5273 cents 16:17 x 19:20:22:23:26:27 x 31:32 SD: 9.2369 cents 17:18:20 x 21:24 x 28 x 29:33:34 SD: 8.3480 cents 18:19:21 x 22:25:26:29:30:31:35:36 SD: 6.2533 cents 19:20:22 x 23 x 27:31:32:33:37:38 SD: 6.9884 cents 20:21:23:24 x 28:29:33 x 34:39:40 SD: 6.7837 cents 21:22 x 25:26:29:30:34:35:36:41:42 SD: 5.1594 cents 22:23:26 x 27:31 x 36:37:38:43:44 SD: 5.4045 cents 23:24:27 x 28:32:33 x 38:39:45:46 SD: 4.9472 cents 24:25:28:29 x x 34:39:40:41:47:48 SD: 4.4658 cents 25:26:29:30:31:35:36:41:42:43:49:50 SD: 3.8850 cents 27:28 x 32:33:38:39:44:45:46:53:54 SD: 3.6995 cents 28:29:33 x 34:39:40:46:47:48:55:56 SD: 3.4540 cents 29:30:34:35:36 x 41:47:48:50:57:58 SD: 4.8225 cents 30:31:35:36:37:42:43:49:50:51:59:60 SD: 2.5453 cents 33:34:39 x 40:46:47:54:55:56:64:66 SD: 3.5700 cents 35:36:41:42:43:49:50:57:58:60:68:70 SD: 1.9879 cents 40:41:47:48:49:56:57:65:67:68:78:80 SD: 1.8099 cents 46:47:54:55:56:64:66:75:77:79:90:92 SD: 1.6706 cents 58:59:68:69:71:81:83:95:97:99:113:116 SD: 1.6193 cents 65:67:76:78:80:91:93:106:109:111:127:130 SD: 1.6169 cents 66:68:77:79:81:92:94:108:110:113:129:132 SD: 1.4755 cents 70:72:82:84:86:98:100:114:117:120:137:140 SD: 1.3444 cents 76:78:89:91:93:106:109:124:127:130:148:152 SD: 0.8664 cents 118:121:138:141:144:165:169:193:197:202:230:236 SD: 0.8109 cents 119:122:139:142:146:166:170:194:199:204:232:238 SD: 0.7633 cents 121:124:141:145:148:169:173:198:202:207:236:242 SD: 0.7255 cents 124:127:145:148:152:173:177:202:207:212:242:248 SD: 0.6886 cents 125:128:146:150:153:175:179:204:209:214:244:250 SD: 0.6611 cents 128:131:150:153:157:179:183:209:214:219:250:256 SD: 0.6149 cents 160:164:187:191:196:224:229:261:267:274:312:320 SD: 0.6010 cents 161:165:188:193:197:225:230:263:269:275:314:322 SD: 0.5779 cents 165:169:193:197:202:231:236:269:276:282:322:330 SD: 0.5650 cents 168:172:196:201:206:235:240:274:281:287:328:336 SD: 0.5213 cents 169:173:197:202:207:236:242:276:282:289:330:338 SD: 0.4918 cents 173:177:202:207:212:242:247:282:289:296:338:346 SD: 0.4841 cents 174:178:203:208:213:243:249:284:291:298:340:348 SD: 0.3912 cents 204:209:238:244:250:285:292:333:341:349:398:408 SD: 0.3235 cents 209:214:244:250:256:292:299:341:349:358:408:418 SD: 0.2792 cents 249:255:291:298:305:348:356:406:416:426:486:498 SD: 0.2610 cents 297:304:347:355:364:415:425:485:496:508:580:594 SD: 0.2557 cents 332:340:388:397:407:464:475:542:555:568:648:664 SD: 0.2424 cents 378:387:442:452:463:528:541:617:632:647:738:755 SD: 0.2381 cents 383:392:447:458:469:535:548:625:640:655:748:765 SD: 0.2184 cents 418:428:488:500:512:584:598:682:699:715:816:835 SD: 0.1933 cents 423:433:494:506:518:591:605:690:707:724:826:845 SD: 0.1661 cents 463:474:541:554:567:647:662:756:774:792:904:925 SD: 0.1556 cents 499:511:583:597:611:697:714:814:834:854:974:997 SD: 0.1522 cents 504:516:589:603:617:704:721:823:842:862:984:1007 SD: 0.1463 cents 511:523:597:611:626:714:731:834:854:874:998:1021 SD: 0.1382 cents 587:601:686:702:719:820:840:958:981:1004:1146:1173 SD: 0.1181 cents