Scala analysis: xen18-erlich-semaphore-04
1L 3s MOS for Semaphore, L=446.23, s=252.48
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 252.480 cents 252.480000 2: 698.710 cents 698.710000 3: 951.190 cents 951.190000 4: 1203.670 cents 1203.670000
SHOW/INTERVAL
0: 252.4800 cents 252.4800 1: 252.4800 cents 252.4800 2: 446.2300 cents 446.2300 3: 252.4800 cents 252.4800 4: 252.4800 cents 252.4800
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 3 252.48000 cents 1: 1 446.23000 cents 2: 2 504.96000 cents 2: 2 698.71000 cents 3: 1 757.44000 cents 3: 3 951.19000 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 0.0 : 252.5 698.7 951.2 1203.7 252.5 : 446.2 698.7 951.2 1203.7 698.7 : 252.5 505.0 757.4 1203.7 951.2 : 252.5 505.0 951.2 1203.7 1203.7
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 252.4800 .. 446.2300 cents 193.75000 cents 252.48000 cents 2: 504.9600 .. 698.7100 cents 193.75000 cents 58.73000 cents 3: 757.4400 .. 951.1900 cents 193.75000 cents 58.73000 cents
SHOW DATA
Number of notes : 4 -- Interval properties -- Smallest interval : 252.48000 cents, class 1 Average step (divided formal octave): 300.9175 cents Largest one step interval : 446.23000 cents Average / Smallest step : 1.191847 Largest / Average step : 1.482898 Largest / Smallest step : 1.767388 Median interval of one step : 252.48000 cents, amount: 3 Most common interval of one step : 252.48000 cents, amount: 3 Least squares average step : 310.60500 cents, oct.: 1242.42000 cents Scale is strictly proper Scale has Myhill's property chromas: 193.75000 cents and 58.73000 cents, ratio: 3.298995 generators: 1 of 252.48000 cents and 3 of 951.19000 cents ET pair of linear temperament : 19&62 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 205-tone equal temperament with octave 1203.670 cents degrees: 43 119 162 205 generators: 43 and 162 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABAA Step pattern size order : SLSS Scale is a Constant Structure, by a margin of 58.73000 cents Scale diversity : 1.270678 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.517102 Rothenberg efficiency : 0.833333 redundancy: 0.166667 Efficiency x scale size : 3.333333 Number of different interval sizes : 6 = 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 : 58.73000 cents Most common intervals : 252.48000 cents & inv., amount: 3 Scale is a chain of 2 triads 0.0 252.480 951.190 cents Number of recognisable fifths : 2, average 698.7100 cents Number of recognisable fourths : 2, average 504.9600 cents Best minor thirds form a closed circle Formal octave complements present : 3 = 75.0000% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 3 Inversional symmetry on intervals : 1-2 3-4 -- Rational properties --
FIT/MODE
4: 1 1 1 1 SP B ME I SD: 59.3236 c. M: 96.8750 c. 5: 1 2 1 1 P M ME SD: 14.3859 c. M:-23.4920 c. 14: 3 5 3 3 SP M DE SD: 6.6740 c. M: 10.8986 c. 19: 4 7 4 4 SP M DE SD: 1.1319 c. M: 1.8484 c. 43: 9 16 9 9 SP M DE SD: 0.6725 c. M:-1.0981 c. 62: 13 23 13 13 SP M DE SD: 0.1195 c. M:-0.1952 c. 143: 30 53 30 30 SP M DE SD: 0.0468 c. M: 0.0764 c. 205: 43 76 43 43 SP M DE SD: 0.0035 c. M:-0.0058 c. 1168: 245 433 245 245 SP M DE SD: 0.0026 c. M: 0.0043 c. 1373: 288 509 288 288 SP M DE SD: 0.0017 c. M: 0.0028 c. 1578: 331 585 331 331 SP M DE SD: 0.0010 c. M: 0.0017 c. 1783: 374 661 374 374 SP M DE SD: 0.0005 c. M: 0.0008 c. 1988: 417 737 417 417 SP M DE SD: 0.0001 c. M: 0.0002 c.
FIT/HARMONIC
1 x x x 2 S SD: 3.6700 cents 2 x 3 x 4 S SD: 2.4494 cents 3 x x 5:6 SD: 33.4660 cents 6:7:9:10:12 SD: 17.1346 cents 8:9:12:14:16 S SD: 12.9761 cents 12:14:18:21:24 SD: 5.8209 cents 18:21:27:31:36 SD: 4.5579 cents 26:30:39:45:52 SD: 1.7444 cents 38:44:57:66:76 SD: 1.7073 cents 64:74:96:111:128 SD: 1.3633 cents 82:95:123:142:164 SD: 1.3584 cents 89:103:133:154:178 SD: 1.3215 cents 101:117:151:175:202 SD: 1.2299 cents 109:126:163:189:218 SD: 1.1983 cents 115:133:172:199:230 SD: 1.1323 cents 127:147:190:220:255 SD: 0.8665 cents 147:170:220:255:295 SD: 0.8627 cents 153:177:229:265:307 SD: 0.5184 cents 179:207:268:310:359 SD: 0.3779 cents 191:221:286:331:383 SD: 0.2860 cents 217:251:325:376:435 SD: 0.2353 cents 388:449:581:672:778 SD: 0.2344 cents 408:472:611:707:818 SD: 0.2342 cents 414:479:620:717:830 SD: 0.1949 cents 452:523:677:783:906 SD: 0.1790 cents 459:531:687:795:920 SD: 0.1572 cents 471:545:705:816:944 SD: 0.1278 cents 497:575:744:861:996 SD: 0.0873 cents