Scala analysis: Central_African_Republic_Guinahui
Guinahui (Harp), Central African Republic
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 163.000 cents 163.000000 2: 480.000 cents 480.000000 3: 701.000 cents 701.000000 4: 845.000 cents 845.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 355.0000 cents 355.0000 1: 163.0000 cents 163.0000 2: 317.0000 cents 317.0000 3: 221.0000 cents 221.0000 4: 144.0000 cents 144.0000 5: 355.0000 cents 355.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 144.00000 cents 1: 1 163.00000 cents 1: 1 221.00000 cents 1: 1 317.00000 cents 1: 1 355.00000 cents 2: 1 365.00000 cents 2: 1 480.00000 cents 2: 1 499.00000 cents 2: 1 518.00000 cents 2: 1 538.00000 cents 3: 1 662.00000 cents 3: 1 682.00000 cents 3: 1 701.00000 cents 3: 1 720.00000 cents 3: 1 835.00000 cents 4: 1 845.00000 cents 4: 1 883.00000 cents 4: 1 979.00000 cents 4: 1 1037.00000 cents 4: 1 1056.00000 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 : 163.0 480.0 701.0 845.0 1200.0 163.0 : 317.0 538.0 682.0 1037.0 1200.0 480.0 : 221.0 365.0 720.0 883.0 1200.0 701.0 : 144.0 499.0 662.0 979.0 1200.0 845.0 : 355.0 518.0 835.0 1056.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 144.0000 .. 355.0000 cents 211.00000 cents 144.00000 cents 2: 365.0000 .. 538.0000 cents 173.00000 cents 10.00000 cents 3: 662.0000 .. 835.0000 cents 173.00000 cents 124.00000 cents 4: 845.0000 .. 1056.0000 cents 211.00000 cents 10.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 144.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 355.00000 cents Average / Smallest step : 1.666667 Largest / Average step : 1.479167 Largest / Smallest step : 2.465278 Median interval of one step : 221.00000 cents, amount: 1 Least squares average step : 229.20000 cents, oct.: 1146.00000 cents Scale is strictly proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 163 480 701 845 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 757 of 757.000 cents and inv. generated superset size: 282 = 277 more = 5640.000% 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 10.00000 cents Scale diversity : 1.573045 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.360000 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 : 10.00000 cents Number of recognisable fifths : 2, average 710.5000 cents Number of appreciable fifths : 1, average 701.0000 cents Best fifths form a closed circle Formal octave complements present : 1 = 20.0000% Limited inverse transpositions with margin 211.0000 cents: 1 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 62.4740 c. M:-115.0000 c. 7: 1 2 1 1 2 P M ME S SD: 18.0425 c. M:-34.2857 c. Thai mode 5 15: 2 4 3 2 4 SP T3 SD: 17.8606 c. M:-35.0000 c. 16: 2 4 3 2 5 P SD: 20.7123 c. M: 30.0000 c. 17: 2 5 3 2 5 P T3 SD: 11.8630 c. M: 21.8235 c. Malaysian Pelog 20: 3 5 4 2 6 P SD: 11.6190 c. M:-19.0000 c. 23: 3 6 4 3 7 P SD: 12.4283 c. M: 22.7391 c. 24: 3 7 4 3 7 P T3 SD: 10.9087 c. M:-20.0000 c. Spondeion 27: 4 7 5 3 8 P SD: 8.9436 c. M:-14.7778 c. 31: 4 8 6 4 9 SP SD: 8.5784 c. M: 15.4839 c. 34: 5 9 6 4 10 P SD: 9.0426 c. M:-14.1176 c. 36: 5 9 7 4 11 P SD: 8.1035 c. M: 13.3333 c. 37: 5 10 7 4 11 P SD: 6.3632 c. M:-12.5135 c. 38: 5 10 7 5 11 SP SD: 5.7170 c. M:-7.6316 c. 43: 6 11 8 5 13 P SD: 4.9525 c. M: 7.7907 c. 50: 7 13 9 6 15 P SD: 3.8730 c. M: 5.0000 c. 53: 7 14 10 6 16 P SD: 4.3450 c. M: 7.2642 c. 58: 8 15 11 7 17 SP SD: 2.8349 c. M: 4.1379 c. 60: 8 16 11 7 18 P SD: 2.6458 c. M: 5.0000 c. 65: 9 17 12 8 19 SP SD: 2.3722 c. M:-4.2308 c. 67: 9 18 12 8 20 P SD: 2.5535 c. M:-3.5821 c. 75: 10 20 14 9 22 SP SD: 2.3238 c. M: 3.0000 c. 98: 13 26 18 12 29 SP SD: 2.4421 c. M: 3.8163 c. 105: 14 28 19 13 31 SP SD: 2.2085 c. M: 3.8571 c. 108: 15 28 20 13 32 SP SD: 1.9845 c. M:-3.6667 c. 115: 16 30 21 14 34 SP SD: 1.9594 c. M:-3.9565 c. 118: 16 31 22 14 35 SP SD: 1.0556 c. M: 2.0339 c. 125: 17 33 23 15 37 SP SD: 0.1549 c. M: 0.2000 c. 700: 95 185 129 84 207 SP SD: 0.1107 c. M: 0.1429 c. 825: 112 218 152 99 244 SP SD: 0.0704 c. M: 0.0909 c. 950: 129 251 175 114 281 SP SD: 0.0408 c. M: 0.0526 c. 1075: 146 284 198 129 318 SP SD: 0.0180 c. M:-0.0233 c. 1200: 163 317 221 144 355 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: 0.4775 cents 3 x 4 x 5:6 S SD: 14.4327 cents 4 x 5:6:7:8 S SD: 38.8192 cents 5:6:7 x 8:10 S SD: 46.6293 cents 6:7:8:9:10:12 S SD: 22.5076 cents 7:8:9 x 11:14 SD: 25.7055 cents 8:9:11:12:13:16 SD: 16.4691 cents 9:10:12:14:15:18 S SD: 15.9204 cents 10:11:13:15:16:20 SD: 8.1250 cents 18:20:24:27:29:36 SD: 6.5629 cents 19:21:25:28:31:38 SD: 6.3780 cents 22:24:29:33:36:44 SD: 2.9286 cents 32:35:42:48:52:64 SD: 2.5899 cents 38:42:50:57:62:76 SD: 2.3373 cents 40:44:53:60:65:80 SD: 1.7509 cents 60:66:79:90:98:120 SD: 1.2340 cents 62:68:82:93:101:124 SD: 1.0324 cents 72:79:95:108:117:144 SD: 1.0306 cents 94:103:124:141:153:188 SD: 1.0193 cents 100:110:132:150:163:200 SD: 0.4924 cents 122:134:161:183:199:244 SD: 0.4714 cents 132:145:174:198:215:264 SD: 0.4139 cents 172:189:227:258:280:344 SD: 0.3439 cents 194:213:256:291:316:388 SD: 0.3224 cents 232:255:306:348:378:464 SD: 0.2720 cents 294:323:388:441:479:588 SD: 0.2017 cents 375:412:495:562:611:750 SD: 0.1774 cents 385:423:508:577:627:770 SD: 0.1733 cents 435:478:574:652:709:870 SD: 0.1676 cents 445:489:587:667:725:890 SD: 0.1353 cents 485:533:640:727:790:970 SD: 0.1166 cents 507:557:669:760:826:1014 SD: 0.0504 cents