Scala analysis: xen18-erlich-dominant-03
2L 1s MOS for Dominant, L=495.88, s=203.47
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 495.880 cents 495.880000 2: 699.350 cents 699.350000 3: 1195.230 cents 1195.230000
SHOW/INTERVAL
0: 495.8800 cents 495.8800 1: 495.8800 cents 495.8800 2: 203.4700 cents 203.4700 3: 495.8800 cents 495.8800
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 203.47000 cents 1: 2 495.88000 cents 2: 2 699.35000 cents 2: 1 991.76000 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 0.0 : 495.9 699.4 1195.2 495.9 : 203.5 699.4 1195.2 699.4 : 495.9 991.8 1195.2 1195.2
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 203.4700 .. 495.8800 cents 292.41000 cents 203.47000 cents 2: 699.3500 .. 991.7600 cents 292.41000 cents 203.47000 cents
SHOW DATA
Number of notes : 3 -- Interval properties -- Smallest interval : 203.47000 cents, class 1 Average step (divided formal octave): 398.4100 cents Largest one step interval : 495.88000 cents Average / Smallest step : 1.958077 Largest / Average step : 1.244647 Largest / Smallest step : 2.437116 Median interval of one step : 495.88000 cents, amount: 2 Most common interval of one step : 495.88000 cents, amount: 2 Least squares average step : 391.44786 cents, oct.: 1174.34357 cents Scale is strictly proper Scale has Myhill's property chromas: 292.41000 cents and 88.94000 cents, ratio: 3.287722 generators: 1 of 495.88000 cents and 2 of 699.35000 cents ET pair of linear temperament : 12&41 Scale is distributional even Scale is a mode of a 699-tone equal temperament with octave 1195.230 cents degrees: 290 409 699 generators: 290 and 409 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABA Step pattern size order : LSL Scale is a Constant Structure, by a margin of 203.47000 cents Scale diversity : 1.441135 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.510705 Rothenberg efficiency : 0.888889 redundancy: 0.111111 Efficiency x scale size : 2.666667 Number of different interval sizes : 4 = 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 : 203.47000 cents Most common intervals : 495.88000 cents & inv., amount: 2 Number of recognisable fifths : 2, average 699.3500 cents Number of recognisable fourths : 2, average 495.8800 cents Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 3 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 1-2 -- Rational properties --
FIT/MODE
3: 1 1 1 SP B ME I SD: 79.5839 c. M: 97.4700 c. 5: 2 1 2 SP M ME I SD: 14.5238 c. M: 17.7880 c. 7: 3 1 3 SP M DE I SD: 13.3591 c. M:-16.3614 c. 12: 5 2 5 SP M DE I SD: 1.7412 c. M:-2.1325 c. Raga Sarvasri, Warao tritonic: South America 29: 12 5 12 SP M DE I SD: 1.0631 c. M: 1.3021 c. 41: 17 7 17 SP M DE I SD: 0.2424 c. M: 0.2968 c. 53: 22 9 22 SP M DE I SD: 0.2067 c. M:-0.2532 c. 94: 39 16 39 SP M DE I SD: 0.0109 c. M: 0.0133 c. 511: 212 87 212 SP M DE I SD: 0.0095 c. M: 0.0116 c. 605: 251 103 251 SP M DE I SD: 0.0063 c. M: 0.0077 c. 699: 290 119 290 SP M DE I SD: 0.0040 c. M:-0.0049 c. 793: 329 135 329 SP M DE I SD: 0.0022 c. M:-0.0027 c. 887: 368 151 368 SP M DE I SD: 0.0008 c. M: 0.0010 c. 981: 407 167 407 SP M DE I SD: 0.0003 c. M: 0.0003 c. 1868: 775 318 775 SP M DE I SD: 0.0003 c. M: 0.0003 c.
FIT/HARMONIC
1 x x 2 S SD: 4.7700 cents 2 x 3:4 S SD: 2.7175 cents 6:8:9:12 S SD: 1.9501 cents 94:125:141:187 SD: 1.9058 cents 96:128:144:191 SD: 1.8169 cents 100:133:150:199 SD: 1.7243 cents 102:136:153:203 SD: 1.6813 cents 105:140:157:209 SD: 1.6767 cents 106:141:159:211 SD: 1.5688 cents 108:144:162:215 SD: 1.5679 cents 109:145:163:217 SD: 1.5176 cents 112:149:168:223 SD: 1.4355 cents 115:153:172:229 SD: 1.3383 cents 118:157:177:235 SD: 1.3216 cents 121:161:181:241 SD: 1.1771 cents 127:169:190:253 SD: 1.0315 cents 133:177:199:265 SD: 0.8996 cents 139:185:208:277 SD: 0.7796 cents 145:193:217:289 SD: 0.6703 cents 151:201:226:301 SD: 0.5706 cents 157:209:235:313 SD: 0.4800 cents 163:217:244:325 SD: 0.3979 cents 169:225:253:337 SD: 0.3247 cents 175:233:262:349 SD: 0.2611 cents 181:241:271:361 SD: 0.2097 cents 187:249:280:373 SD: 0.1748 cents 193:257:289:385 SD: 0.1614 cents