Scala analysis: xen18-erlich-dominant-02
1L 1s MOS for Dominant, L=699.35, s=495.88
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 699.350 cents 699.350000 2: 1195.230 cents 1195.230000
SHOW/INTERVAL
0: 495.8800 cents 495.8800 1: 699.3500 cents 699.3500 2: 495.8800 cents 495.8800
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 495.88000 cents 1: 1 699.35000 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 0.0 : 699.4 1195.2 699.4 : 495.9 1195.2 1195.2
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 495.8800 .. 699.3500 cents 203.47000 cents 495.88000 cents
SHOW DATA
Number of notes : 2 -- Interval properties -- Smallest interval : 495.88000 cents, class 1 Average step (divided formal octave): 597.6150 cents Largest one step interval : 699.35000 cents Average / Smallest step : 1.205161 Largest / Average step : 1.170235 Largest / Smallest step : 1.410321 Median interval of one step : 597.61500 cents, amount: 0 Least squares average step : 617.96200 cents, oct.: 1235.92400 cents Scale is strictly proper Scale has Myhill's property chromas: 203.47000 cents and 292.41000 cents, ratio: 1.437116 generator: 495.88000 cents ET pair of linear temperament : 12&41 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 699-tone equal temperament with octave 1195.230 cents degrees: 409 699 generator: 290 Number of contiguous 1-step segments: 0 Step pattern alph. order: AB Step pattern size order : LS Scale is a Constant Structure, by a margin of 495.88000 cents Scale diversity : 1.434588 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.829765 Rothenberg efficiency : 1.000000 redundancy: 0.000000 Efficiency x scale size : 2.000000 Number of different interval sizes : 2 = 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: 1 Number of recognisable fifths : 1, average 699.3500 cents Number of recognisable fourths : 1, average 495.8800 cents Best fifths form a closed circle Best major thirds form a closed circle Steps are strictly decreasing Formal octave complements present : 1 = 50.0000% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 1 Inversional symmetry on intervals : 0-1 1-2 -- Rational properties --
FIT/MODE
2: 1 1 SP B ME I SD: 71.9375 c. M: 101.7350 c. 3: 2 1 SP M ME SD: 68.9217 c. M:-97.4700 c. 5: 3 2 SP M ME SD: 12.5780 c. M:-17.7880 c. 7: 4 3 SP M ME SD: 11.5693 c. M: 16.3614 c. 12: 7 5 SP M DE SD: 1.5079 c. M: 2.1325 c. Niagari: Japan 29: 17 12 SP M DE SD: 0.9207 c. M:-1.3021 c. 41: 24 17 SP M DE SD: 0.2099 c. M:-0.2968 c. 53: 31 22 SP M DE SD: 0.1790 c. M: 0.2532 c. 94: 55 39 SP M DE SD: 0.0094 c. M: 0.0133 c. 511: 299 212 SP M DE SD: 0.0082 c. M:-0.0116 c. 605: 354 251 SP M DE SD: 0.0055 c. M:-0.0077 c. 699: 409 290 SP M DE SD: 0.0035 c. M:-0.0049 c. 793: 464 329 SP M DE SD: 0.0019 c. M:-0.0027 c. 887: 519 368 SP M DE SD: 0.0007 c. M:-0.0010 c. 981: 574 407 SP M DE SD: 0.0002 c. M: 0.0003 c. 1868: 1093 775 SP M DE SD: 0.0002 c. M:-0.0003 c.
FIT/HARMONIC
1 x 2 S SD: 4.7700 cents 2:3:4 H SD: 2.7175 cents 92:138:183 SD: 2.6713 cents 94:141:187 SD: 2.5839 cents 96:144:191 SD: 2.5011 cents 98:147:195 SD: 2.4226 cents 100:150:199 SD: 2.3483 cents 102:153:203 SD: 2.2778 cents 104:156:207 SD: 2.2110 cents 106:159:211 SD: 2.1478 cents 108:162:215 SD: 2.0879 cents 110:165:219 SD: 2.0312 cents 111:166:221 SD: 2.0029 cents 112:168:223 SD: 1.9775 cents 113:169:225 SD: 1.9203 cents 115:172:229 SD: 1.8406 cents 117:175:233 SD: 1.7636 cents 119:178:237 SD: 1.6893 cents 121:181:241 SD: 1.6176 cents 123:184:245 SD: 1.5482 cents 125:187:249 SD: 1.4812 cents 127:190:253 SD: 1.4163 cents 129:193:257 SD: 1.3535 cents 131:196:261 SD: 1.2928 cents 133:199:265 SD: 1.2339 cents 135:202:269 SD: 1.1769 cents 137:205:273 SD: 1.1217 cents 139:208:277 SD: 1.0682 cents 141:211:281 SD: 1.0164 cents 143:214:285 SD: 0.9662 cents 145:217:289 SD: 0.9175 cents 147:220:293 SD: 0.8703 cents 149:223:297 SD: 0.8246 cents 151:226:301 SD: 0.7803 cents 153:229:305 SD: 0.7375 cents 155:232:309 SD: 0.6960 cents 157:235:313 SD: 0.6559 cents 159:238:317 SD: 0.6171 cents 161:241:321 SD: 0.5798 cents 163:244:325 SD: 0.5438 cents 165:247:329 SD: 0.5092 cents 167:250:333 SD: 0.4761 cents 169:253:337 SD: 0.4445 cents 171:256:341 SD: 0.4145 cents 173:259:345 SD: 0.3862 cents 175:262:349 SD: 0.3598 cents 177:265:353 SD: 0.3353 cents 179:268:357 SD: 0.3131 cents 181:271:361 SD: 0.2933 cents 183:274:365 SD: 0.2762 cents 185:277:369 SD: 0.2620 cents 187:280:373 SD: 0.2511 cents 189:283:377 SD: 0.2435 cents 191:286:381 SD: 0.2395 cents 193:289:385 SD: 0.2388 cents 384:575:766 SD: 0.2387 cents 510:764:1017 SD: 0.2369 cents 512:767:1021 SD: 0.2333 cents 514:770:1025 SD: 0.2303 cents 516:773:1029 SD: 0.2277 cents 518:776:1033 SD: 0.2257 cents 520:779:1037 SD: 0.2241 cents 522:782:1041 SD: 0.2231 cents 524:785:1045 SD: 0.2225 cents 526:788:1049 SD: 0.2224 cents