Scala analysis: Central_African_Republic_Razia
Razia (Harp), Central African Republic
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 167.000 cents 167.000000 2: 451.000 cents 451.000000 3: 678.000 cents 678.000000 4: 791.000 cents 791.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 409.0000 cents 409.0000 1: 167.0000 cents 167.0000 2: 284.0000 cents 284.0000 3: 227.0000 cents 227.0000 4: 113.0000 cents 113.0000 5: 409.0000 cents 409.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 113.00000 cents 1: 1 167.00000 cents 1: 1 227.00000 cents 1: 1 284.00000 cents 1: 1 409.00000 cents 2: 1 340.00000 cents 2: 1 451.00000 cents 2: 1 511.00000 cents 2: 1 522.00000 cents 2: 1 576.00000 cents 3: 1 624.00000 cents 3: 1 678.00000 cents 3: 1 689.00000 cents 3: 1 749.00000 cents 3: 1 860.00000 cents 4: 1 791.00000 cents 4: 1 916.00000 cents 4: 1 973.00000 cents 4: 1 1033.00000 cents 4: 1 1087.00000 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 : 167.0 451.0 678.0 791.0 1200.0 167.0 : 284.0 511.0 624.0 1033.0 1200.0 451.0 : 227.0 340.0 749.0 916.0 1200.0 678.0 : 113.0 522.0 689.0 973.0 1200.0 791.0 : 409.0 576.0 860.0 1087.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 113.0000 .. 409.0000 cents 296.00000 cents 113.00000 cents 2: 340.0000 .. 576.0000 cents 236.00000 cents -69.00000 cents 3: 624.0000 .. 860.0000 cents 236.00000 cents 48.00000 cents 4: 791.0000 .. 1087.0000 cents 296.00000 cents -69.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 113.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 409.00000 cents Average / Smallest step : 2.123894 Largest / Average step : 1.704167 Largest / Smallest step : 3.619469 Median interval of one step : 227.00000 cents, amount: 1 Least squares average step : 223.03636 cents, oct.: 1115.18182 cents Scale is not proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 167 451 678 791 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1147 of 1147.000 cents and inv. generated superset size: 221 = 216 more = 4420.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : BDCAE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 42.00000 cents Scale diversity : 1.796138 Lumma stability : 0.228333 Lumma impropriety factor : 0.115000 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 : 11.00000 cents Number of recognisable fifths : 1, average 689.0000 cents Formal octave complements present : 1 = 20.0000% -- Rational properties --
FIT/MODE
5: 1 1 1 0 2 N T3 SD: 50.9411 c. M:-73.0000 c. 6: 1 1 1 1 2 P M ME S SD: 44.3959 c. M: 78.0000 c. 7: 1 2 1 1 2 P M ME S SD: 41.1317 c. M:-66.1429 c. Thai mode 5 8: 1 2 1 1 3 N T3 SD: 40.1373 c. M: 78.0000 c. 9: 1 2 2 1 3 P D3 S SD: 28.0852 c. M: 51.0000 c. 11: 1 3 2 1 4 N SD: 31.1980 c. M: 57.9091 c. 12: 2 3 2 1 4 N SD: 28.4781 c. M:-49.0000 c. Han-kumoi: Japan, Raga Shobhavari, Sutradhari 13: 2 3 2 2 4 P T3 SD: 24.5647 c. M:-39.7692 c. 14: 2 3 3 1 5 N SD: 13.8939 c. M: 22.4286 c. 21: 3 5 4 2 7 N SD: 6.2906 c. M:-9.0000 c. 35: 5 8 7 3 12 N SD: 4.7531 c. M:-7.7143 c. 50: 7 12 9 5 17 N SD: 3.5496 c. M: 6.0000 c. 58: 8 14 11 5 20 N SD: 3.6118 c. M: 4.7931 c. 64: 9 15 12 6 22 N SD: 2.2500 c. M: 3.5000 c. 85: 12 20 16 8 29 N SD: 1.1572 c. M:-2.4118 c. 115: 16 27 22 11 39 N SD: 1.3824 c. M: 2.3043 c. 138: 19 33 26 13 47 N SD: 0.9712 c. M: 1.7826 c. 152: 21 36 29 14 52 N SD: 1.0670 c. M: 1.5263 c. 173: 24 41 33 16 59 N SD: 0.8348 c. M:-1.7688 c. 200: 28 47 38 19 68 N SD: 0.7746 c. M:-1.0000 c. 202: 28 48 38 19 69 N SD: 0.6455 c. M: 0.9010 c. 223: 31 53 42 21 76 N SD: 0.4630 c. M:-1.0179 c. 287: 40 68 54 27 98 N SD: 0.5245 c. M: 0.7561 c. 308: 43 73 58 29 105 N SD: 0.4892 c. M:-0.9481 c. 317: 44 75 60 30 108 N SD: 0.3621 c. M: 0.5268 c. 338: 47 80 64 32 115 N SD: 0.3332 c. M:-0.7160 c. 402: 56 95 76 38 137 N SD: 0.2209 c. M: 0.3881 c. 540: 75 128 102 51 184 N SD: 0.1925 c. M: 0.3333 c. 575: 80 136 109 54 196 N SD: 0.1543 c. M:-0.2609 c. 625: 87 148 118 59 213 N SD: 0.1420 c. M: 0.2400 c. 777: 108 184 147 73 265 N SD: 0.1511 c. M: 0.2664 c. 798: 111 189 151 75 272 N SD: 0.1113 c. M:-0.1955 c. 883: 123 209 167 83 301 N SD: 0.1300 c. M:-0.1891 c. 977: 136 231 185 92 333 N SD: 0.1057 c. M: 0.2323 c. 998: 139 236 189 94 340 N SD: 0.1307 c. M:-0.1824 c. 1062: 148 251 201 100 362 N SD: 0.1262 c. M:-0.2316 c. 1115: 155 264 211 105 380 N SD: 0.0882 c. M: 0.1839 c. 1179: 164 279 223 111 402 N SD: 0.1120 c. M: 0.1603 c. 1200: 167 284 227 113 409 N 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: 11.9775 cents 3 x 4 x 5:6 S SD: 34.8474 cents 4 x 5:6 x 8 S SD: 22.9931 cents 5 x x 7:8:10 SD: 32.7153 cents 6:7:8:9 x 12 S SD: 28.2414 cents 7:8:9:10:11:14 SD: 18.0064 cents 9:10:12:13:14:18 SD: 13.9189 cents 10:11:13:15:16:20 SD: 6.6418 cents 17:19:22:25:27:34 SD: 5.9315 cents 19:21:25:28:30:38 SD: 5.1597 cents 21:23:27:31:33:42 SD: 4.1478 cents 29:32:38:43:46:58 SD: 3.8643 cents 31:34:40:46:49:62 SD: 2.6435 cents 40:44:52:59:63:80 SD: 1.5711 cents 50:55:65:74:79:100 SD: 0.7913 cents 98:108:127:145:155:196 SD: 0.7424 cents 121:133:157:179:191:242 SD: 0.6753 cents 138:152:179:204:218:276 SD: 0.3221 cents 188:207:244:278:297:376 SD: 0.2288 cents 373:411:484:552:589:746 SD: 0.2254 cents 413:455:536:611:652:826 SD: 0.1811 cents 444:489:576:657:701:888 SD: 0.1369 cents 494:544:641:731:780:988 SD: 0.1009 cents 582:641:755:861:919:1164 SD: 0.1004 cents