Scala analysis: xen18-erlich-flattone-05
2L 3s MOS for Flattone, L=318.88, s=188.26
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 188.260 cents 188.260000 2: 507.140 cents 507.140000 3: 695.400 cents 695.400000 4: 1014.280 cents 1014.280000 5: 1202.540 cents 1202.540000
SHOW/INTERVAL
0: 188.2600 cents 188.2600 1: 188.2600 cents 188.2600 2: 318.8800 cents 318.8800 3: 188.2600 cents 188.2600 4: 318.8800 cents 318.8800 5: 188.2600 cents 188.2600
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 3 188.26000 cents 1: 2 318.88000 cents 2: 1 376.52000 cents 2: 4 507.14000 cents 3: 4 695.40000 cents 3: 1 826.02000 cents 4: 2 883.66000 cents 4: 3 1014.28000 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 0.0 : 188.3 507.1 695.4 1014.3 1202.5 188.3 : 318.9 507.1 826.0 1014.3 1202.5 507.1 : 188.3 507.1 695.4 883.7 1202.5 695.4 : 318.9 507.1 695.4 1014.3 1202.5 1014.3: 188.3 376.5 695.4 883.7 1202.5 1202.5
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 188.2600 .. 318.8800 cents 130.62000 cents 188.26000 cents 2: 376.5200 .. 507.1400 cents 130.62000 cents 57.64000 cents 3: 695.4000 .. 826.0200 cents 130.62000 cents 188.26000 cents 4: 883.6600 .. 1014.2800 cents 130.62000 cents 57.64000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 188.26000 cents, class 1 Average step (divided formal octave): 240.5080 cents Largest one step interval : 318.88000 cents Average / Smallest step : 1.277531 Largest / Average step : 1.325860 Largest / Smallest step : 1.693828 Median interval of one step : 188.26000 cents, amount: 3 Most common interval of one step : 188.26000 cents, amount: 3 Least squares average step : 242.88291 cents, oct.: 1214.41455 cents Scale is strictly proper Scale has Myhill's property chromas: 130.62000 cents and 57.64000 cents, ratio: 2.266135 generators: 2 of 507.14000 cents and 3 of 695.40000 cents ET pair of linear temperament : 19&64 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 313-tone equal temperament with octave 1202.540 cents degrees: 49 132 181 264 313 generators: 132 and 181 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABABA Step pattern size order : SLSLS Scale is a Constant Structure, by a margin of 57.64000 cents Scale diversity : 1.287173 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.565520 Rothenberg efficiency : 0.800000 redundancy: 0.200000 Efficiency x scale size : 4.000000 Number of different interval sizes : 8 = 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 : 57.64000 cents Most common intervals : 507.14000 cents & inv., amount: 4 Scale is a chain of 2 triads 0.0 507.140 1014.280 cents Most common triad is 0.0 507.140 695.400 cents, amount: 3 Number of recognisable fifths : 4, average 695.4000 cents Number of recognisable fourths : 4, average 507.1400 cents Best fifths form a closed circle Formal octave complements present : 5 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 2-3 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 36.9449 c. M:-52.2480 c. 7: 1 2 1 2 1 P M ME I SD: 11.6450 c. M:-16.4686 c. Thai mode 2 12: 2 3 2 3 2 SP M ME I SD: 8.6008 c. M:-12.1633 c. Suspended Pentatonic, Raga Madhyamavati, Madhmat Sarang, Megh, Egyptian, Shang, Rui Bin, Jin Yu, Qing Yu: China, Yo: Japan, Ngu Cung Dao: Vietnam, Yematebela wofe: Ethiopia 19: 3 5 3 5 3 SP M DE I SD: 1.1418 c. M:-1.6147 c. Nineteen-tone Suspended Pentatonic 45: 7 12 7 12 7 SP M DE I SD: 0.8473 c. M:-1.1982 c. 64: 10 17 10 17 10 SP M DE I SD: 0.2568 c. M:-0.3631 c. 83: 13 22 13 22 13 SP M DE I SD: 0.0634 c. M:-0.0896 c. 230: 36 61 36 61 36 SP M DE I SD: 0.0257 c. M:-0.0363 c. 313: 49 83 49 83 49 SP M DE I SD: 0.0021 c. M:-0.0029 c. 1335: 209 354 209 354 209 SP M DE I SD: 0.0020 c. M:-0.0028 c. 1648: 258 437 258 437 258 SP M DE I SD: 0.0012 c. M:-0.0017 c. 1961: 307 520 307 520 307 SP M DE I SD: 0.0007 c. M:-0.0010 c. 2274: 356 603 356 603 356 SP M DE I SD: 0.0003 c. M:-0.0004 c.
FIT/HARMONIC
1 x x x x 2 S SD: 2.5400 cents 2 x x 3 x 4 S SD: 3.5150 cents 3 x 4 x 5:6 S SD: 43.4213 cents 4 x 5:6:7:8 S SD: 32.3211 cents 5:6:7 x 9:10 SD: 37.0172 cents 6:7:8:9:11:12 SD: 17.3697 cents 8:9:11:12:14:16 SD: 13.1333 cents 9:10:12:13:16:18 SD: 12.5055 cents 10:11:13:15:18:20 SD: 11.6660 cents 14:16:19:21:25:28 SD: 9.9300 cents 15:17:20:22:27:30 SD: 8.8427 cents 16:18:21:24:29:32 SD: 8.6031 cents 17:19:23:25:31:34 SD: 8.2974 cents 18:20:24:27:32:36 SD: 4.4601 cents 24:27:32:36:43:48 SD: 3.9966 cents 26:29:35:39:47:52 SD: 2.9688 cents 35:39:47:52:63:70 SD: 2.2711 cents 44:49:59:66:79:88 SD: 1.4801 cents 53:59:71:79:95:106 SD: 1.3973 cents 77:86:103:115:138:154 SD: 1.3680 cents 79:88:106:118:142:158 SD: 0.7304 cents 138:154:185:206:248:276 SD: 0.7181 cents 156:174:209:233:280:312 SD: 0.6656 cents 176:196:236:263:316:353 SD: 0.6624 cents 182:203:244:272:327:365 SD: 0.4783 cents 217:242:291:324:390:435 SD: 0.4724 cents 226:252:303:338:406:453 SD: 0.4006 cents 235:262:315:351:422:471 SD: 0.3227 cents 261:291:350:390:469:523 SD: 0.2394 cents 279:311:374:417:501:559 SD: 0.2212 cents 338:377:453:505:607:677 SD: 0.2175 cents 358:399:480:535:643:717 SD: 0.1817 cents 417:465:559:623:749:835 SD: 0.1651 cents 585:652:784:874:1051:1172 SD: 0.1617 cents 591:659:792:883:1062:1184 SD: 0.1514 cents 599:668:803:895:1076:1200 SD: 0.1449 cents