Scala analysis: xen18-erlich-luna-07
6L 1s MOS for Luna, L=193.196, s=40.804
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 193.196 cents 193.196000 2: 386.392 cents 386.392000 3: 579.588 cents 579.588000 4: 620.392 cents 620.392000 5: 813.588 cents 813.588000 6: 1006.784 cents 1006.784000 7: 1199.980 cents 1199.980000
SHOW/INTERVAL
0: 193.1960 cents 193.1960 1: 193.1960 cents 193.1960 2: 193.1960 cents 193.1960 3: 193.1960 cents 193.1960 4: 40.8040 cents 40.8040 5: 193.1960 cents 193.1960 6: 193.1960 cents 193.1960 7: 193.1960 cents 193.1960
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 40.80400 cents 1: 6 193.19600 cents 2: 2 234.00000 cents 2: 5 386.39200 cents 3: 3 427.19600 cents 3: 4 579.58800 cents 4: 4 620.39200 cents 4: 3 772.78400 cents 5: 5 813.58800 cents 5: 2 965.98000 cents 6: 6 1006.78400 cents 6: 1 1159.17600 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 0.0 : 193.2 386.4 579.6 620.4 813.6 1006.8 1200.0 193.2 : 193.2 386.4 427.2 620.4 813.6 1006.8 1200.0 386.4 : 193.2 234.0 427.2 620.4 813.6 1006.8 1200.0 579.6 : 40.8 234.0 427.2 620.4 813.6 1006.8 1200.0 620.4 : 193.2 386.4 579.6 772.8 966.0 1159.2 1200.0 813.6 : 193.2 386.4 579.6 772.8 966.0 1006.8 1200.0 1006.8: 193.2 386.4 579.6 772.8 813.6 1006.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 40.8040 .. 193.1960 cents 152.39200 cents 40.80400 cents 2: 234.0000 .. 386.3920 cents 152.39200 cents 40.80400 cents 3: 427.1960 .. 579.5880 cents 152.39200 cents 40.80400 cents 4: 620.3920 .. 772.7840 cents 152.39200 cents 40.80400 cents 5: 813.5880 .. 965.9800 cents 152.39200 cents 40.80400 cents 6: 1006.7840 .. 1159.1760 cents 152.39200 cents 40.80400 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 40.80400 cents, class 1 Average step (divided formal octave): 171.4257 cents Largest one step interval : 193.19600 cents Average / Smallest step : 4.201199 Largest / Average step : 1.126995 Largest / Smallest step : 4.734732 Median interval of one step : 193.19600 cents, amount: 6 Most common interval of one step : 193.19600 cents, amount: 6 Least squares average step : 169.24869 cents, oct.: 1184.74080 cents Scale is strictly proper Scale has Myhill's property chromas: 152.39200 cents and 111.58800 cents, ratio: 1.365667 generators: 1 of 193.19600 cents and 6 of 1006.78400 cents ET pair of linear temperament : 25&31 Scale is distributional even Scale is a mode of a 441-tone equal temperament with octave 1199.980 cents degrees: 71 142 213 228 299 370 441 generators: 71 and 370 Number of contiguous 1-step segments: 0 Step pattern alph. order: AAABAAA Step pattern size order : LLLSLLL Scale is a Constant Structure, by a margin of 40.80400 cents Scale diversity : 1.158908 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.238027 Rothenberg efficiency : 0.761905 redundancy: 0.238095 Efficiency x scale size : 5.333333 Number of different interval sizes : 12 = 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 : 40.80400 cents Most common intervals : 193.19600 cents & inv., amount: 6 Scale is a chain of 3 triads 0.0 579.588 1006.784 cents Most common triad is 0.0 193.196 1006.784 cents, amount: 5 Number of recognisable fifths : 0 Number of recognisable fourths : 0 Scale contains two identical disjunct tetrachords Best fifths form a closed circle Best minor thirds form a closed circle Formal octave complements present : 7 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 3-4 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 43.5406 c. M:-65.3109 c. Lebeng 8: 1 2 1 0 1 2 1 N T3 I SD: 42.5185 c. M:-63.6005 c. 10: 2 1 2 0 2 1 2 N T3 I SD: 30.7215 c. M:-46.8000 c. 12: 2 2 2 0 2 2 2 P M DE I SD: 13.6013 c. M:-20.4020 c. 19: 3 3 3 1 3 3 3 SP M DE I SD: 7.4509 c. M:-11.1764 c. 25: 4 4 4 1 4 4 4 SP M DE I SD: 2.3984 c. M: 3.5976 c. 31: 5 5 5 1 5 5 5 SP M DE I SD: 0.6983 c. M: 1.0475 c. 56: 9 9 9 2 9 9 9 SP M DE I SD: 0.6841 c. M: 1.0262 c. 87: 14 14 14 3 14 14 14 SP M DE I SD: 0.1915 c. M: 0.2873 c. 118: 19 19 19 4 19 19 19 SP M DE I SD: 0.0422 c. M:-0.0634 c. 323: 52 52 52 11 52 52 52 SP M DE I SD: 0.0207 c. M:-0.0311 c. 441: 71 71 71 15 71 71 71 SP M DE I SD: 0.0039 c. M: 0.0058 c. 1000: 161 161 161 34 161 161 161 SP M DE I SD: 0.0016 c. M: 0.0023 c. 1441: 232 232 232 49 232 232 232 SP M DE I SD: 0.0001 c. M: 0.0002 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.0200 cents 2 x x x 3 x x 4 S SD: 40.7815 cents 3 x x 4 x 5 x 6 S SD: 35.9904 cents 4 x 5 x 6 x 7:8 S SD: 22.4908 cents 5 x 6:7 x 8:9:10 S SD: 14.3264 cents 6:7 x 8:9:10:11:12 S SD: 26.6413 cents 7:8:9 x 10:11:13:14 SD: 15.8140 cents 8:9:10:11 x 13:14:16 SD: 9.2505 cents 9:10:11 x 13:14:16:18 SD: 11.0338 cents 10:11:13:14 x 16:18:20 SD: 12.3829 cents 12:13:15 x 17:19:21:24 SD: 11.8463 cents 13:15:16:18:19:21:23:26 SD: 11.0118 cents 14:16:18 x 20:22:25:28 SD: 11.5441 cents 15:17:19:21 x 24:27:30 SD: 5.7723 cents 17:19:21:24 x 27:30:34 SD: 6.3205 cents 19:21:24 x 27:30:34:38 SD: 6.2130 cents 20:22:25:28:29:32:36:40 SD: 5.4274 cents 22:25:28:31 x 35:39:44 SD: 7.9888 cents 23:26:29:32:33:37:41:46 SD: 4.0265 cents 24:27:30 x 34:38:43:48 SD: 4.5646 cents 25:28:31:35:36:40:45:50 SD: 3.0259 cents 28:31:35:39:40:45:50:56 SD: 2.8644 cents 32:36:40:45:46:51:57:64 SD: 2.8145 cents 33:37:41:46:47:53:59:66 SD: 2.3417 cents 35:39:44:49:50:56:63:70 SD: 2.3208 cents 48:54:60:67:69:77:86:96 SD: 2.0742 cents 51:57:64:71:73:82:91:102 SD: 1.9376 cents 53:59:66:74:76:85:95:106 SD: 1.7300 cents 60:67:75:84:86:96:107:120 SD: 1.0040 cents 93:104:116:130:133:149:166:186 SD: 0.8514 cents 95:106:119:133:136:152:170:190 SD: 0.8404 cents 100:112:125:140:143:160:179:200 SD: 0.6440 cents 128:143:160:179:183:205:229:256 SD: 0.4162 cents 204:228:255:285:292:326:365:408 SD: 0.3329 cents 237:265:296:331:339:379:424:474 SD: 0.3255 cents 272:304:340:380:389:435:487:544 SD: 0.3177 cents 279:312:349:390:399:446:499:558 SD: 0.3131 cents 280:313:350:391:401:448:501:560 SD: 0.3063 cents 297:332:371:415:425:475:531:594 SD: 0.2478 cents 304:340:380:425:435:486:544:608 SD: 0.2368 cents 332:371:415:464:475:531:594:664 SD: 0.1668 cents 355:397:444:496:508:568:635:710 SD: 0.1620 cents 432:483:540:604:618:691:773:864 SD: 0.1507 cents 483:540:604:675:691:773:864:966 SD: 0.1350 cents 508:568:635:710:727:813:909:1016 SD: 0.1129 cents 568:635:710:794:813:909:1016:1136 SD: 0.1068 cents