Scala analysis: Indonesia_Pancasona_b
Pancasona (Saron Demung or Gender Barung), Indonesia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 221.000 cents 221.000000 2: 447.000 cents 447.000000 3: 707.000 cents 707.000000 4: 955.000 cents 955.000000 5: 1207.000 cents 1207.000000
SHOW/INTERVAL
0: 252.0000 cents 252.0000 1: 221.0000 cents 221.0000 2: 226.0000 cents 226.0000 3: 260.0000 cents 260.0000 4: 248.0000 cents 248.0000 5: 252.0000 cents 252.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 221.00000 cents 1: 1 226.00000 cents 1: 1 248.00000 cents 1: 1 252.00000 cents 1: 1 260.00000 cents 2: 1 447.00000 cents 2: 1 473.00000 cents 2: 1 486.00000 cents 2: 1 500.00000 cents 2: 1 508.00000 cents 3: 1 699.00000 cents 3: 1 707.00000 cents 3: 1 721.00000 cents 3: 1 734.00000 cents 3: 1 760.00000 cents 4: 1 947.00000 cents 4: 1 955.00000 cents 4: 1 959.00000 cents 4: 1 981.00000 cents 4: 1 986.00000 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 : 221.0 447.0 707.0 955.0 1207.0 221.0 : 226.0 486.0 734.0 986.0 1207.0 447.0 : 260.0 508.0 760.0 981.0 1207.0 707.0 : 248.0 500.0 721.0 947.0 1207.0 955.0 : 252.0 473.0 699.0 959.0 1207.0 1207.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 221.0000 .. 260.0000 cents 39.00000 cents 221.00000 cents 2: 447.0000 .. 508.0000 cents 61.00000 cents 187.00000 cents 3: 699.0000 .. 760.0000 cents 61.00000 cents 191.00000 cents 4: 947.0000 .. 986.0000 cents 39.00000 cents 187.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 221.00000 cents, class 1 Average step (divided formal octave): 241.4000 cents Largest one step interval : 260.00000 cents Average / Smallest step : 1.092308 Largest / Average step : 1.077051 Largest / Smallest step : 1.176471 Median interval of one step : 248.00000 cents, amount: 1 Least squares average step : 238.01818 cents, oct.: 1190.09091 cents Scale is strictly proper Scale is a mode of a 1207-tone equal temperament with octave 1207.000 cents degrees: 221 447 707 955 1207 Least number of segments generator : 604 of 604.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 724 of 724.000 cents and inv. generated superset size: 180 = 175 more = 3600.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : ABECD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 187.00000 cents Scale diversity : 1.201556 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.834300 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 : 4.00000 cents Number of recognisable fifths : 2, average 703.0000 cents Number of recognisable fourths : 3, average 498.0000 cents Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 20.0000% 2/1 octave complements present : 0 = 0.0000% Limited transpositions with margin 61.0000 cents: 1 4 Limited inverse transpositions with margin 61.0000 cents: 1 2 3 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 20.5232 c. M:-35.8000 c. 16: 3 3 3 4 3 SP M ME S SD: 17.3621 c. M: 28.0625 c. 19: 3 4 4 4 4 SP M ME S SD: 14.1608 c. M: 30.4211 c. Godzilla-5 20: 4 3 5 4 4 SP T3 SD: 16.8942 c. M: 24.5500 c. 21: 4 4 4 5 4 SP M ME S SD: 14.3553 c. M:-22.0952 c. 22: 4 4 5 4 5 SP M ME S SD: 10.9976 c. M: 22.3182 c. 24: 4 5 5 5 5 SP M ME S SD: 9.3145 c. M: 19.8333 c. Godzilla-5 27: 5 5 6 5 6 SP M ME S SD: 8.2185 c. M: 16.2222 c. 29: 5 6 6 6 6 SP M ME S SD: 7.6032 c. M: 12.8966 c. Immunity-5 32: 6 6 7 6 7 SP M ME S SD: 7.7183 c. M: 12.0312 c. 33: 6 6 7 7 7 SP D3 S SD: 6.7757 c. M: 12.0606 c. 37: 7 7 8 7 8 SP M ME S SD: 8.2785 c. M:-10.6757 c. 38: 7 7 8 8 8 SP D3 S SD: 3.9751 c. M: 8.2105 c. 43: 8 8 9 9 9 SP D3 S SD: 3.0052 c. M: 5.2558 c. 67: 12 13 14 14 14 SP SD: 3.2918 c. M: 4.8209 c. 72: 13 14 15 15 15 SP SD: 3.1579 c. M:-5.6250 c. 78: 14 15 17 16 16 SP SD: 3.5993 c. M:-4.8205 c. 81: 15 15 17 17 17 SP D3 S SD: 3.2313 c. M: 6.6420 c. 82: 15 15 18 17 17 SP SD: 2.5575 c. M: 5.4146 c. 87: 16 16 19 18 18 SP SD: 1.7729 c. M: 3.0460 c. 92: 17 17 20 19 19 SP SD: 1.7071 c. M:-2.7283 c. 114: 21 21 25 23 24 SP SD: 1.8573 c. M:-2.3772 c. 116: 21 22 25 24 24 SP SD: 1.5407 c. M: 2.4914 c. 130: 24 24 28 27 27 SP SD: 1.3227 c. M:-1.8308 c. 135: 25 25 29 28 28 SP SD: 1.3829 c. M:-2.5185 c. 143: 26 27 31 29 30 SP SD: 1.2664 c. M:-2.0070 c. 154: 28 29 33 32 32 SP SD: 1.1378 c. M: 1.6104 c. 159: 29 30 34 33 33 SP SD: 0.9764 c. M:-1.4906 c. 181: 33 34 39 37 38 SP SD: 0.7635 c. M: 1.4033 c. 186: 34 35 40 38 39 SP SD: 0.6299 c. M: 1.0806 c. 229: 42 43 49 47 48 SP SD: 0.7314 c. M:-1.0131 c. 268: 49 50 58 55 56 SP SD: 0.5348 c. M: 1.1306 c. 273: 50 51 59 56 57 SP SD: 0.2719 c. M: 0.4542 c. 459: 84 86 99 94 96 SP SD: 0.2640 c. M: 0.4444 c. 497: 91 93 107 102 104 SP SD: 0.2928 c. M: 0.5714 c. 502: 92 94 108 103 105 SP SD: 0.2497 c. M: 0.4602 c. 589: 108 110 127 121 123 SP SD: 0.1872 c. M:-0.3175 c. 613: 112 115 132 126 128 SP SD: 0.2195 c. M: 0.4715 c. 618: 113 116 133 127 129 SP SD: 0.1784 c. M: 0.3026 c. 705: 129 132 152 145 147 SP SD: 0.1778 c. M:-0.3277 c. 710: 130 133 153 146 148 SP SD: 0.2049 c. M:-0.4000 c. 748: 137 140 161 154 156 SP SD: 0.1620 c. M:-0.2727 c. 775: 142 145 167 159 162 SP SD: 0.1548 c. M: 0.3019 c. 886: 162 166 191 182 185 SP SD: 0.1570 c. M: 0.3070 c. 891: 163 167 192 183 186 SP SD: 0.1060 c. M: 0.1908 c. 929: 170 174 200 191 194 SP SD: 0.1156 c. M: 0.2099 c. 934: 171 175 201 192 195 SP SD: 0.0795 c. M:-0.1328 c. 1202: 220 225 259 247 251 SP SD: 0.0854 c. M: 0.1489 c. 1207: 221 226 260 248 252 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 7.0000 cents 2 x x 3 x 4 S SD: 4.3143 cents 3 x 4 x 5:6 S SD: 29.1448 cents 4 x 5:6:7:8 S SD: 15.7091 cents 5:6 x 8:9:10 S SD: 38.9761 cents 6:7:8:9:10:12 S SD: 19.7731 cents 7:8:9:11:12:14 SD: 16.0896 cents 8:9:10:12:14:16 S SD: 13.0238 cents 13:15:17:20:23:26 SD: 12.0740 cents 14:16:18:21:24:28 S SD: 5.6508 cents 20:23:26:30:35:40 SD: 5.5027 cents 23:26:30:35:40:46 SD: 5.2848 cents 24:27:31:36:42:48 SD: 4.7876 cents 28:32:36:42:49:56 S SD: 4.5215 cents 30:34:39:45:52:60 SD: 2.4707 cents 57:65:74:86:99:114 SD: 2.3620 cents 58:66:75:87:101:116 SD: 2.1311 cents 65:74:84:98:113:131 SD: 1.8006 cents 75:85:97:113:130:151 SD: 1.4990 cents 81:92:105:122:141:163 SD: 1.3361 cents 88:100:114:132:153:177 SD: 1.2845 cents 95:108:123:143:165:191 SD: 0.5325 cents 125:142:162:188:217:251 SD: 0.3895 cents 220:250:285:331:382:442 SD: 0.3007 cents 228:259:295:343:396:458 SD: 0.2803 cents 258:293:334:388:448:518 SD: 0.2131 cents 353:401:457:531:613:709 SD: 0.1313 cents 492:559:637:740:854:988 SD: 0.1002 cents 587:667:760:883:1019:1179 SD: 0.0957 cents