Scala analysis: Congo_Mouth_Bow
Mouth Bow (Mouth Bow), Congo
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 256.000 cents 256.000000 2: 571.000 cents 571.000000 3: 911.000 cents 911.000000
SHOW/INTERVAL
0: 340.0000 cents 340.0000 1: 256.0000 cents 256.0000 2: 315.0000 cents 315.0000 3: 340.0000 cents 340.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 256.00000 cents 1: 1 315.00000 cents 1: 1 340.00000 cents 2: 1 571.00000 cents 2: 1 596.00000 cents 2: 1 655.00000 cents Highest number of different intervals for one interval class: 3 Average number of different intervals per interval class: 3.00000 = 3
SHOW/LINE/CENTS INTERVALS
1 2 3 0.0 : 256.0 571.0 911.0 256.0: 315.0 655.0 911.0 571.0: 340.0 596.0 911.0 911.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 256.0000 .. 340.0000 cents 84.00000 cents 256.00000 cents 2: 571.0000 .. 655.0000 cents 84.00000 cents 231.00000 cents
SHOW DATA
Number of notes : 3 -- Interval properties -- Smallest interval : 256.00000 cents, class 1 Average step (divided formal octave): 303.6667 cents Largest one step interval : 340.00000 cents Average / Smallest step : 1.186198 Largest / Average step : 1.119649 Largest / Smallest step : 1.328125 Median interval of one step : 315.00000 cents, amount: 1 Least squares average step : 295.07143 cents, oct.: 885.21429 cents Scale is strictly proper Scale has trivalence property Scale is a mode of a 911-tone equal temperament with octave 911.000 cents degrees: 256 571 911 Least number of segments generator : 456 of 456.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 466 of 466.000 cents and inv. generated superset size: 31 = 28 more = 1033.333% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABC Step pattern size order : SML Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 231.00000 cents Scale diversity : 1.698326 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.815587 Rothenberg efficiency : 0.666667 redundancy: 0.333333 Efficiency x scale size : 2.000000 Number of different interval sizes : 6 = 3.00000 / class Number of one step interval sizes : 3 Highest interval variety : 3 Mean interval variety : 3.00000 = 3 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 25.00000 cents Number of recognisable fifths : 0 Number of recognisable fourths : 0 Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Steps are strictly increasing Formal octave complements present : 1 = 33.3333% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions with margin 59.0000 cents: 1 -- Rational properties --
FIT/MODE
3: 1 1 1 SP B ME I SD: 34.6036 c. M:-47.6667 c. 7: 2 2 3 SP M ME S SD: 29.2199 c. M: 50.4286 c. 8: 2 3 3 SP M ME S SD: 16.3371 c. M: 28.2500 c. 10: 3 3 4 SP M ME S SD: 17.2690 c. M: 24.4000 c. 11: 3 4 4 SP M ME S SD: 6.6608 c. M:-8.7273 c. 21: 6 7 8 SP T3 SD: 4.7622 c. M: 7.0476 c. 29: 8 10 11 SP T3 SD: 4.1958 c. M: 5.5517 c. 32: 9 11 12 SP T3 SD: 0.9467 c. M: 1.6250 c. 75: 21 26 28 SP T3 SD: 0.5347 c. M: 0.9200 c. 107: 30 37 40 SP T3 SD: 0.4655 c. M: 0.5794 c. 142: 40 49 53 SP T3 SD: 0.3580 c. M:-0.6197 c. 153: 43 53 57 SP T3 SD: 0.3514 c. M:-0.6078 c. 174: 49 60 65 SP T3 SD: 0.3642 c. M:-0.5460 c. 185: 52 64 69 SP T3 SD: 0.1333 c. M:-0.2216 c. 217: 61 75 81 SP T3 SD: 0.0584 c. M:-0.0876 c. 402: 113 139 150 SP T3 SD: 0.0620 c. M:-0.0771 c. 477: 134 165 178 SP T3 SD: 0.0531 c. M: 0.0797 c. 509: 143 176 190 SP T3 SD: 0.0489 c. M: 0.0609 c. 694: 195 240 259 SP T3 SD: 0.0183 c. M: 0.0274 c. 911: 256 315 340 SP T3 SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x 2 S SD: 289.0000 cents 2 x 3 x S SD: 130.9550 cents 3 x 4:5 S SD: 38.8336 cents 5:6:7:8 H SD: 38.2384 cents 6:7:8:10 S SD: 26.1414 cents 7:8:10:12 S SD: 19.0530 cents 12:14:17:20 SD: 14.3448 cents 13:15:18:22 SD: 3.7459 cents 38:44:53:64 SD: 3.3699 cents 43:50:60:73 SD: 3.1087 cents 49:57:68:83 SD: 2.3438 cents 56:65:78:95 SD: 1.7361 cents 69:80:96:117 SD: 1.0968 cents 82:95:114:139 SD: 0.9996 cents 100:116:139:169 SD: 0.9617 cents 107:124:149:181 SD: 0.8462 cents 120:139:167:203 SD: 0.7074 cents 156:181:217:264 SD: 0.4670 cents 169:196:235:286 SD: 0.2248 cents 289:335:402:489 SD: 0.2211 cents 351:407:488:594 SD: 0.2040 cents 358:415:498:606 SD: 0.1762 cents 420:487:584:711 SD: 0.1746 cents 458:531:637:775 SD: 0.1355 cents 527:611:733:892 SD: 0.0781 cents 540:626:751:914 SD: 0.0593 cents