Scala analysis: godzilla9
Godzilla[9] in 19et tuning (4\19 generator)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 189.474 cents 189.473680 2: 378.947 cents 378.947370 3: 442.105 cents 442.105260 4: 631.579 cents 631.578950 5: 694.737 cents 694.736840 6: 884.211 cents 884.210530 7: 947.368 cents 947.368420 8: 1136.842 cents 1136.842110 9: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 63.1579 cents 63.1579 1: 189.4737 cents 189.4737 2: 189.4737 cents 189.4737 3: 63.1579 cents 63.1579 4: 189.4737 cents 189.4737 5: 63.1579 cents 63.1579 6: 189.4737 cents 189.4737 7: 63.1579 cents 63.1579 8: 189.4737 cents 189.4737 9: 63.1579 cents 63.1579
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 4 63.15789 cents 1: 5 189.47368 cents 2: 8 252.63158 cents 2: 1 378.94737 cents 3: 3 315.78947 cents 3: 6 442.10526 cents 4: 7 505.26316 cents 4: 2 631.57895 cents 5: 2 568.42105 cents 5: 7 694.73684 cents 6: 6 757.89474 cents 6: 3 884.21053 cents 7: 1 821.05263 cents 7: 8 947.36842 cents 8: 5 1010.52632 cents 8: 4 1136.84211 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 0.0 : 189.5 378.9 442.1 631.6 694.7 884.2 947.4 1136.8 1200.0 189.5 : 189.5 252.6 442.1 505.3 694.7 757.9 947.4 1010.5 1200.0 378.9 : 63.2 252.6 315.8 505.3 568.4 757.9 821.1 1010.5 1200.0 442.1 : 189.5 252.6 442.1 505.3 694.7 757.9 947.4 1136.8 1200.0 631.6 : 63.2 252.6 315.8 505.3 568.4 757.9 947.4 1010.5 1200.0 694.7 : 189.5 252.6 442.1 505.3 694.7 884.2 947.4 1136.8 1200.0 884.2 : 63.2 252.6 315.8 505.3 694.7 757.9 947.4 1010.5 1200.0 947.4 : 189.5 252.6 442.1 631.6 694.7 884.2 947.4 1136.8 1200.0 1136.8: 63.2 252.6 442.1 505.3 694.7 757.9 947.4 1010.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 63.1579 .. 189.4737 cents 126.31579 cents 63.15789 cents 2: 252.6316 .. 378.9474 cents 126.31579 cents 63.15790 cents 3: 315.7895 .. 442.1053 cents 126.31579 cents -63.15790 cents 4: 505.2632 .. 631.5789 cents 126.31579 cents 63.15790 cents 5: 568.4211 .. 694.7368 cents 126.31579 cents -63.15790 cents 6: 757.8947 .. 884.2105 cents 126.31579 cents 63.15790 cents 7: 821.0526 .. 947.3684 cents 126.31579 cents -63.15790 cents 8: 1010.5263 .. 1136.8421 cents 126.31579 cents 63.15790 cents
SHOW DATA
Number of notes : 9 -- Interval properties -- Smallest interval : 63.15789 cents, class 1 Average step (divided formal octave): 133.3333 cents Largest one step interval : 189.47368 cents Average / Smallest step : 2.111111 Largest / Average step : 1.421053 Largest / Smallest step : 3.000000 Median interval of one step : 189.47368 cents, amount: 5 Most common interval of one step : 189.47368 cents, amount: 5 Least squares average step : 140.72022 cents, oct.: 1266.48200 cents Scale is not proper Scale has Myhill's property chromas: 126.31579 cents and 63.15790 cents, ratio: 2.000000 generators: 252.63158 cents and 7 of 947.36842 cents ET pair of linear temperament : 14&19 Scale is distributional even Scale is a mode of a 19-tone equal temperament with octave 2/1 degrees: 3 6 7 10 11 14 15 18 19 generators: 4 and 15 Number of contiguous 1-step segments: 4 Scale is a Winograd/Gamer deep scale Step pattern alph. order: AABABABAB Step pattern size order : LLSLSLSLS Interval vector is [ 4 0 5 8 3 1 6 7 2 ] Scale is a Constant Structure, by a margin of 63.15789 cents Scale diversity : 1.253119 Lumma stability : 0.315789 Lumma impropriety factor : 0.157895 Rothenberg efficiency : 0.740741 redundancy: 0.259259 Efficiency x scale size : 6.666667 Number of different interval sizes : 16 = 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 : 63.15789 cents Most common intervals : 252.63158 cents & inv., amount: 8 Scale is a chain of 4 triads 0.0 252.632 505.263 cents Most common triad is 0.0 252.632 947.368 cents, amount: 7 Number of recognisable fifths : 7, average 694.7368 cents Formal octave complements present : 1 = 11.1111% Limited inverse transpositions : 2 Inversional symmetry on degrees : 1 Inversional symmetry on intervals : 5-6 -- Rational properties -- Prime limit : 2 (not all pitches rational)
FIT/MODE
9: 1 1 1 1 1 1 1 1 1 SP B ME I SD: 66.8204 c. M: 112.2807 c. Pelog Nawanada: Sunda 10: 2 1 1 1 1 1 1 1 1 P M ME S SD: 35.4785 c. M: 56.8421 c. 11: 2 1 1 2 0 2 1 1 1 N D3 SD: 31.7957 c. M: 51.6746 c. 12: 2 2 0 2 1 2 0 2 1 N T3 SD: 28.2886 c. M: 47.3684 c. 13: 2 2 1 2 1 2 0 2 1 N T3 SD: 24.8782 c. M:-43.7247 c. 14: 2 2 1 2 1 2 1 2 1 P M ME S SD: 21.4780 c. M: 36.0902 c. Godzilla-9 15: 2 3 1 2 1 2 1 2 1 N T3 SD: 20.8647 c. M:-37.8947 c. 16: 3 2 1 2 1 3 1 2 1 N T3 SD: 20.7628 c. M:-35.5263 c. 19: 3 3 1 3 1 3 1 3 1 N M DE S SD: 0.0000 c. M: 0.0000 c. Godzilla-9
FIT/HARMONIC
1 x x x x x x x x 2 S SD: 0.0000 cents 2 x x x x 3 x x x 4 S SD: 3.6091 cents 3 x x 4 x x 5 x x 6 S SD: 18.6466 cents 4 x 5 x x 6 x 7 x 8 S SD: 5.9518 cents 5 x 6 x 7 x 8:9 x 10 S SD: 25.5506 cents 6:7 x 8 x 9:10 x x 12 S SD: 19.1538 cents 7:8 x 9:10 x x 12 x 14 S SD: 9.3585 cents 8:9:10 x x 12:13:14:15:16 S SD: 10.1446 cents 9:10:11:12:13 x 15:16:17:18 SD: 11.0783 cents 10:11:12:13:14:15 x 17:19:20 SD: 11.6562 cents 11:12 x 14:16 x 18:19:21:22 SD: 8.7002 cents 12:13:15 x 17:18:20:21:23:24 SD: 7.9894 cents 13:15:16:17:19 x 22 x 25:26 SD: 10.7353 cents 14:16:17:18:20:21:23:24:27:28 SD: 7.6078 cents 15:17:19 x 22 x 25:26:29:30 SD: 7.4131 cents 16:18:20:21:23:24:27:28:31:32 SD: 5.1454 cents 18:20:22:23:26:27:30:31:35:36 SD: 4.5582 cents 24:27:30:31:35:36:40:41:46:48 SD: 4.0120 cents 25:28:31:32:36:37:42:43:48:50 SD: 3.3046 cents 32:36:40:41:46:48:53:55:62:64 SD: 3.0879 cents 34:38:42:44:49:51:57:59:66:68 SD: 2.5769 cents 41:46:51:53:59:61:68:71:79:82 SD: 1.6967 cents 45:50:56:58:65:67:75:78:87:90 SD: 1.4007 cents 69:77:86:89:99:103:115:119:133:138 SD: 0.9134 cents 93:104:116:120:134:139:155:161:179:186 SD: 0.7865 cents 111:124:138:143:160:166:185:192:214:222 SD: 0.6064 cents 114:127:142:147:164:170:190:197:220:228 SD: 0.5701 cents 138:154:172:178:199:206:230:239:266:276 SD: 0.5681 cents 148:165:184:191:213:221:247:256:285:296 SD: 0.5148 cents 172:192:214:222:248:257:287:297:332:344 SD: 0.4437 cents 180:201:224:232:259:269:300:311:347:360 SD: 0.4182 cents 200:223:249:258:288:299:333:346:386:400 SD: 0.3864 cents 207:231:258:267:298:309:345:358:399:414 SD: 0.3742 cents 209:233:260:270:301:312:348:361:403:418 SD: 0.3317 cents 225:251:280:290:324:336:375:389:434:450 SD: 0.3240 cents 241:269:300:311:347:360:402:417:465:482 SD: 0.3196 cents 261:291:325:337:376:390:435:451:503:522 SD: 0.2137 cents 302:337:376:390:435:451:503:522:582:604 SD: 0.1960 cents 336:375:418:434:484:502:560:581:648:672 SD: 0.1905 cents 405:452:504:523:583:605:675:700:781:810 SD: 0.1418 cents 450:502:560:581:648:672:750:778:868:900 SD: 0.1101 cents 588:656:732:759:847:878:980:1016:1134:1176 SD: 0.1098 cents