Scala analysis: Central_African_Republic_Tourgba
Tourgba (Harp), Central African Republic
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 169.000 cents 169.000000 2: 504.000 cents 504.000000 3: 728.000 cents 728.000000 4: 877.000 cents 877.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 323.0000 cents 323.0000 1: 169.0000 cents 169.0000 2: 335.0000 cents 335.0000 3: 224.0000 cents 224.0000 4: 149.0000 cents 149.0000 5: 323.0000 cents 323.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 149.00000 cents 1: 1 169.00000 cents 1: 1 224.00000 cents 1: 1 323.00000 cents 1: 1 335.00000 cents 2: 1 373.00000 cents 2: 1 472.00000 cents 2: 1 492.00000 cents 2: 1 504.00000 cents 2: 1 559.00000 cents 3: 1 641.00000 cents 3: 1 696.00000 cents 3: 1 708.00000 cents 3: 1 728.00000 cents 3: 1 827.00000 cents 4: 1 865.00000 cents 4: 1 877.00000 cents 4: 1 976.00000 cents 4: 1 1031.00000 cents 4: 1 1051.00000 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 : 169.0 504.0 728.0 877.0 1200.0 169.0 : 335.0 559.0 708.0 1031.0 1200.0 504.0 : 224.0 373.0 696.0 865.0 1200.0 728.0 : 149.0 472.0 641.0 976.0 1200.0 877.0 : 323.0 492.0 827.0 1051.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 149.0000 .. 335.0000 cents 186.00000 cents 149.00000 cents 2: 373.0000 .. 559.0000 cents 186.00000 cents 38.00000 cents 3: 641.0000 .. 827.0000 cents 186.00000 cents 82.00000 cents 4: 865.0000 .. 1051.0000 cents 186.00000 cents 38.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 149.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 335.00000 cents Average / Smallest step : 1.610738 Largest / Average step : 1.395833 Largest / Smallest step : 2.248322 Median interval of one step : 224.00000 cents, amount: 1 Least squares average step : 233.98182 cents, oct.: 1169.90909 cents Scale is strictly proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 169 504 728 877 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1057 of 1057.000 cents and inv. generated superset size: 218 = 213 more = 4360.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : BECAD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 38.00000 cents Scale diversity : 1.612341 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.380000 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 : 12.00000 cents Number of recognisable fifths : 2, average 702.0000 cents Best fifths form a closed circle Formal octave complements present : 1 = 20.0000% -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 50.1398 c. M:-83.0000 c. 7: 1 2 1 1 2 P M ME S SD: 21.4200 c. M: 42.2857 c. Thai mode 5 12: 2 3 2 2 3 SP M ME S SD: 21.4009 c. M:-31.0000 c. Scottish Pentatonic, Blues Major, Ritusen, Ritsu (Gagaku): Japan, Zhi, Zheng: China, Ujo, P'yongjo: Korea, Bac: Vietnam, Lai Soutsanaen, Lai Po Sai, Lai Soi: Laos, Raga Arabhi, Devakriya, Durga, Jaldhar Kedar, Suddha Saveri, Major complement 15: 2 4 3 2 4 SP T3 SD: 12.0830 c. M: 24.0000 c. 16: 2 5 3 2 4 P SD: 19.0526 c. M:-23.0000 c. 19: 3 5 4 2 5 SP SD: 16.5315 c. M:-29.8947 c. 20: 3 5 4 3 5 SP T3 SD: 16.0624 c. M: 24.0000 c. 21: 3 6 4 2 6 P SD: 12.0560 c. M: 19.8571 c. 22: 3 6 4 3 6 SP T3 SD: 10.7327 c. M: 18.9091 c. Raga Suddha Malhar 23: 3 7 4 3 6 P SD: 10.7279 c. M:-17.7391 c. 26: 4 7 5 3 7 SP SD: 8.5665 c. M:-15.6154 c. 31: 4 9 6 4 8 SP SD: 9.3235 c. M: 14.1613 c. 33: 5 9 6 4 9 SP SD: 6.4654 c. M:-12.8182 c. 36: 5 10 7 4 10 SP SD: 5.5976 c. M: 10.3333 c. 41: 6 11 8 5 11 SP SD: 4.4720 c. M:-6.6098 c. 48: 7 13 9 6 13 SP SD: 3.6056 c. M:-6.0000 c. 64: 9 18 12 8 17 SP SD: 2.5981 c. M:-4.2500 c. 71: 10 20 13 9 19 SP SD: 1.6912 c. M:-3.0423 c. 86: 12 24 16 11 23 SP SD: 1.7530 c. M: 2.4186 c. 107: 15 30 20 13 29 SP SD: 1.1822 c. M: 2.2336 c. 112: 16 31 21 14 30 SP SD: 1.3325 c. M:-2.4286 c. 122: 17 34 23 15 33 SP SD: 1.5041 c. M: 2.3607 c. 148: 21 41 28 18 40 SP SD: 1.2683 c. M:-1.7297 c. 155: 22 43 29 19 42 SP SD: 1.1905 c. M: 2.1613 c. 171: 24 48 32 21 46 SP SD: 1.0293 c. M:-1.8246 c. 178: 25 50 33 22 48 SP SD: 0.7991 c. M:-1.6180 c. 186: 26 52 35 23 50 SP SD: 0.8275 c. M: 1.2581 c. 193: 27 54 36 24 52 SP SD: 0.5989 c. M: 1.1244 c. 219: 31 61 41 27 59 SP SD: 0.5344 c. M:-0.8630 c. 264: 37 74 49 33 71 SP SD: 0.5604 c. M: 0.8182 c. 290: 41 81 54 36 78 SP SD: 0.4997 c. M:-0.8276 c. 305: 43 85 57 38 82 SP SD: 0.2633 c. M: 0.3934 c. 412: 58 115 77 51 111 SP SD: 0.1630 c. M: 0.3010 c. 483: 68 135 90 60 130 SP SD: 0.1593 c. M:-0.3478 c. 702: 99 196 131 87 189 SP SD: 0.1876 c. M:-0.2735 c. 717: 101 200 134 89 193 SP SD: 0.1073 c. M: 0.2343 c. 788: 111 220 147 98 212 SP SD: 0.0852 c. M:-0.1574 c. 895: 126 250 167 111 241 SP SD: 0.0897 c. M:-0.1341 c. 1200: 169 335 224 149 323 SP SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 0.0000 cents 2 x x 3 x 4 S SD: 13.0225 cents 3 x 4 x 5:6 S SD: 3.1555 cents 4 x 5:6:7:8 S SD: 37.8817 cents 5:6:7 x 8:10 S SD: 44.4947 cents 6:7:8:9:10:12 S SD: 20.3437 cents 8:9:11:12:13:16 SD: 14.7868 cents 9:10:12:14:15:18 S SD: 8.0797 cents 17:19:23:26:28:34 SD: 6.8056 cents 18:20:24:27:30:36 S SD: 6.1567 cents 21:23:28:32:35:42 SD: 2.9900 cents 29:32:39:44:48:58 SD: 2.3822 cents 38:42:51:58:63:76 SD: 1.6373 cents 50:55:67:76:83:100 SD: 1.1493 cents 59:65:79:90:98:118 SD: 0.7782 cents 109:120:146:166:181:218 SD: 0.6761 cents 136:150:182:207:226:272 SD: 0.5000 cents 174:192:233:265:289:348 SD: 0.4992 cents 195:215:261:297:324:390 SD: 0.4346 cents 224:247:300:341:372:448 SD: 0.4341 cents 243:268:325:370:403:486 SD: 0.2932 cents 264:291:353:402:438:528 SD: 0.2488 cents 293:323:392:446:486:586 SD: 0.2303 cents 302:333:404:460:501:604 SD: 0.1794 cents 352:388:471:536:584:704 SD: 0.1401 cents 429:473:574:653:712:858 SD: 0.1370 cents 438:483:586:667:727:876 SD: 0.0805 cents