Scala analysis: Ethiopia_Tizita
Tizita (Baganna or Krar or Masinko), Ethiopia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 210.000 cents 210.000000 2: 385.000 cents 385.000000 3: 725.000 cents 725.000000 4: 865.000 cents 865.000000 5: 1190.000 cents 1190.000000
SHOW/INTERVAL
0: 325.0000 cents 325.0000 1: 210.0000 cents 210.0000 2: 175.0000 cents 175.0000 3: 340.0000 cents 340.0000 4: 140.0000 cents 140.0000 5: 325.0000 cents 325.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 140.00000 cents 1: 1 175.00000 cents 1: 1 210.00000 cents 1: 1 325.00000 cents 1: 1 340.00000 cents 2: 1 385.00000 cents 2: 1 465.00000 cents 2: 1 480.00000 cents 2: 1 515.00000 cents 2: 1 535.00000 cents 3: 1 655.00000 cents 3: 1 675.00000 cents 3: 1 710.00000 cents 3: 1 725.00000 cents 3: 1 805.00000 cents 4: 1 850.00000 cents 4: 1 865.00000 cents 4: 1 980.00000 cents 4: 1 1015.00000 cents 4: 1 1050.00000 cents Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 5.00000 = 5
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 0.0 : 210.0 385.0 725.0 865.0 1190.0 210.0 : 175.0 515.0 655.0 980.0 1190.0 385.0 : 340.0 480.0 805.0 1015.0 1190.0 725.0 : 140.0 465.0 675.0 850.0 1190.0 865.0 : 325.0 535.0 710.0 1050.0 1190.0 1190.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 140.0000 .. 340.0000 cents 200.00000 cents 140.00000 cents 2: 385.0000 .. 535.0000 cents 150.00000 cents 45.00000 cents 3: 655.0000 .. 805.0000 cents 150.00000 cents 120.00000 cents 4: 850.0000 .. 1050.0000 cents 200.00000 cents 45.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 140.00000 cents, class 1 Average step (divided formal octave): 238.0000 cents Largest one step interval : 340.00000 cents Average / Smallest step : 1.700000 Largest / Average step : 1.428571 Largest / Smallest step : 2.428571 Median interval of one step : 210.00000 cents, amount: 1 Least squares average step : 228.45455 cents, oct.: 1142.27273 cents Scale is strictly proper Scale is a mode of a 238-tone equal temperament with octave 1190.000 cents degrees: 42 77 145 173 238 Least number of segments generator : 121 of 605.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 233 of 1165.000 cents and inv. generated superset size: 77 = 72 more = 1540.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : CBEAD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 45.00000 cents Scale diversity : 1.626840 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.411765 Rothenberg efficiency : 0.400000 redundancy: 0.600000 Efficiency x scale size : 2.000000 Number of different interval sizes : 20 = 5.00000 / class Number of one step interval sizes : 5 Highest interval variety : 5 Mean interval variety : 5.00000 = 5 Median interval variety : 5 Lowest interval variety : 5 Smallest interval difference : 15.00000 cents Number of recognisable fifths : 1, average 710.0000 cents Number of recognisable fourths : 1, average 480.0000 cents Number of appreciable fourths : 0 Best fifths form a closed circle Formal octave complements present : 1 = 20.0000% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions with margin 185.0000 cents: 2 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 57.8878 c. M:-91.0000 c. 6: 1 1 2 0 2 P D3 S SD: 44.8949 c. M: 71.6667 c. 7: 1 1 2 1 2 P M ME S SD: 34.2783 c. M: 45.0000 c. Thai mode 1 10: 2 1 3 1 3 P T3 SD: 23.2938 c. M: 32.0000 c. 12: 2 2 3 2 3 SP M ME S SD: 19.8956 c. M: 30.8333 c. Major Pentatonic, Ryosen, Yona Nuki Major: Japan, Man Jue, Gong: China, Raga Bhopali (Bhup), Bilahari, Deskar, Kokila, Jait Kalyan, Mohanam, Peruvian Pentatonic 1, Ghana Pentatonic 2, Tizita Major: Ethiopia 13: 2 2 4 1 4 P T3 S SD: 23.7784 c. M: 41.1538 c. 15: 3 2 4 2 4 SP T3 SD: 14.8316 c. M:-28.0000 c. 16: 3 2 5 2 4 P SD: 17.0431 c. M:-27.5000 c. 18: 3 3 5 2 5 SP T3 S SD: 7.8489 c. M:-11.6667 c. 28: 5 4 8 3 8 SP SD: 6.9821 c. M: 15.0000 c. 33: 6 5 9 4 9 SP SD: 6.1832 c. M:-11.6667 c. 34: 6 5 10 4 9 SP SD: 6.3246 c. M:-10.0000 c. 40: 7 6 11 5 11 SP SD: 5.1417 c. M: 11.0000 c. 41: 7 6 12 5 11 SP SD: 5.2705 c. M: 7.6829 c. 44: 8 6 13 5 12 SP SD: 4.6588 c. M:-6.3636 c. 52: 9 8 15 6 14 SP SD: 4.6330 c. M:-7.3077 c. 56: 10 8 16 7 15 SP SD: 3.4004 c. M:-6.2500 c. 62: 11 9 18 7 17 SP SD: 2.1531 c. M:-4.3548 c. 74: 13 11 21 9 20 SP SD: 1.7337 c. M:-3.3784 c. 84: 15 12 24 10 23 SP SD: 1.9720 c. M:-2.5000 c. 95: 17 14 27 11 26 SP SD: 2.1203 c. M:-3.3158 c. 102: 18 15 29 12 28 SP SD: 1.0541 c. M: 1.6667 c. 136: 24 20 39 16 37 SP SD: 0.7906 c. M:-1.2500 c. 164: 29 24 47 19 45 SP SD: 0.7823 c. M: 1.5244 c. 176: 31 26 50 21 48 SP SD: 0.7585 c. M: 1.5341 c. 220: 39 32 63 26 60 SP SD: 0.6422 c. M:-0.9545 c. 238: 42 35 68 28 65 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 10.0000 cents 2 x x 3 x 4 S SD: 12.5606 cents 3 x 4 x 5:6 S SD: 38.3752 cents 4 x 5:6:7:8 S SD: 26.7075 cents 5 x 6 x 8:10 S SD: 28.9515 cents 6:7:8:9:10:12 S SD: 26.0916 cents 7:8:9:11:12:14 SD: 20.9797 cents 8:9:10:12:13:16 SD: 7.1240 cents 17:19:21:26:28:34 SD: 5.9496 cents 23:26:29:35:38:46 SD: 3.9613 cents 31:35:39:47:51:62 SD: 3.3777 cents 40:45:50:61:66:80 SD: 2.6358 cents 48:54:60:73:79:95 SD: 2.1112 cents 56:63:70:85:92:111 SD: 2.0661 cents 60:68:75:91:99:119 SD: 1.8519 cents 68:77:85:103:112:135 SD: 1.7380 cents 69:78:86:105:114:137 SD: 1.3713 cents 77:87:96:117:127:153 SD: 0.7965 cents 100:113:125:152:165:199 SD: 0.6275 cents 148:167:185:225:244:294 SD: 0.4850 cents 177:200:221:269:292:352 SD: 0.4736 cents 185:209:231:281:305:368 SD: 0.4086 cents 225:254:281:342:371:447 SD: 0.3580 cents 233:263:291:354:384:463 SD: 0.3057 cents 256:289:320:389:422:509 SD: 0.3024 cents 273:308:341:415:450:543 SD: 0.2551 cents 333:376:416:506:549:662 SD: 0.2052 cents 350:395:437:532:577:696 SD: 0.2037 cents 450:508:562:684:742:895 SD: 0.1825 cents 458:517:572:696:755:911 SD: 0.1733 cents 534:603:667:812:880:1062 SD: 0.1511 cents