Scala analysis: Indonesia_Hajanagara
Hajanagara (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: 217.000 cents 217.000000 2: 455.000 cents 455.000000 3: 698.000 cents 698.000000 4: 941.000 cents 941.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 259.0000 cents 259.0000 1: 217.0000 cents 217.0000 2: 238.0000 cents 238.0000 3: 243.0000 cents 243.0000 4: 243.0000 cents 243.0000 5: 259.0000 cents 259.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 217.00000 cents 1: 1 238.00000 cents 1: 2 243.00000 cents 1: 1 259.00000 cents 2: 1 455.00000 cents 2: 1 476.00000 cents 2: 1 481.00000 cents 2: 1 486.00000 cents 2: 1 502.00000 cents 3: 1 698.00000 cents 3: 1 714.00000 cents 3: 1 719.00000 cents 3: 1 724.00000 cents 3: 1 745.00000 cents 4: 1 941.00000 cents 4: 2 957.00000 cents 4: 1 962.00000 cents 4: 1 983.00000 cents Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 4.50000 = 9/2
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 0.0 : 217.0 455.0 698.0 941.0 1200.0 217.0 : 238.0 481.0 724.0 983.0 1200.0 455.0 : 243.0 486.0 745.0 962.0 1200.0 698.0 : 243.0 502.0 719.0 957.0 1200.0 941.0 : 259.0 476.0 714.0 957.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 217.0000 .. 259.0000 cents 42.00000 cents 217.00000 cents 2: 455.0000 .. 502.0000 cents 47.00000 cents 196.00000 cents 3: 698.0000 .. 745.0000 cents 47.00000 cents 196.00000 cents 4: 941.0000 .. 983.0000 cents 42.00000 cents 196.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 217.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 259.00000 cents Average / Smallest step : 1.105991 Largest / Average step : 1.079167 Largest / Smallest step : 1.193548 Median interval of one step : 243.00000 cents, amount: 2 Most common interval of one step : 243.00000 cents, amount: 2 Least squares average step : 236.09091 cents, oct.: 1180.45455 cents Scale is strictly proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 217 455 698 941 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1163 of 1163.000 cents and inv. generated superset size: 86 = 81 more = 1720.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCCD Step pattern size order : ABCCD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 196.00000 cents Scale diversity : 1.189295 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.851667 Rothenberg efficiency : 0.440000 redundancy: 0.560000 Efficiency x scale size : 2.200000 Number of different interval sizes : 18 = 4.50000 / class Number of one step interval sizes : 4 Highest interval variety : 5 Mean interval variety : 4.50000 = 9/2 Median interval variety : 4.5 Lowest interval variety : 4 Smallest interval difference : 5.00000 cents Most common intervals : 243.00000 cents & inv., amount: 2 Most common triad is 0.0 243.000 957.000 cents, amount: 1 Number of recognisable fifths : 3, average 710.3333 cents Number of appreciable fifths : 2, average 706.0000 cents Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Steps are increasing Formal octave complements present : 1 = 20.0000% Limited inverse transpositions with margin 31.0000 cents: 1 2 3 4 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 19.9950 c. M:-25.0000 c. 16: 3 3 3 4 3 SP M ME S SD: 18.8361 c. M:-34.0000 c. 17: 3 3 4 3 4 SP M ME S SD: 18.0294 c. M: 31.4706 c. Seventeen-tone Major Pentatonic 18: 3 4 3 4 4 SP M ME S SD: 17.1211 c. M: 31.3333 c. 19: 3 4 4 4 4 SP M ME S SD: 13.9655 c. M: 27.5263 c. Godzilla-5 22: 4 4 5 4 5 SP M ME S SD: 11.4905 c. M: 18.6364 c. 24: 4 5 5 5 5 SP M ME S SD: 8.9331 c. M: 17.0000 c. Godzilla-5 27: 5 5 6 5 6 SP M ME S SD: 8.5950 c. M:-13.1111 c. 29: 5 6 6 6 6 SP M ME S SD: 7.0257 c. M:-10.7241 c. Immunity-5 34: 6 7 7 7 7 SP M ME S SD: 7.0250 c. M:-11.9412 c. Immunity-5 38: 7 7 8 8 8 SP D3 S SD: 6.8396 c. M: 12.8947 c. 40: 7 8 8 8 9 SP T3 SD: 7.1972 c. M: 11.0000 c. 43: 8 8 9 9 9 SP D3 S SD: 5.8773 c. M: 8.4884 c. 45: 8 9 9 9 10 SP T3 SD: 4.3995 c. M: 7.6667 c. 50: 9 10 10 10 11 SP T3 SD: 2.4900 c. M: 5.0000 c. 55: 10 11 11 11 12 SP T3 SD: 1.9746 c. M:-3.1818 c. 84: 15 17 17 17 18 SP SD: 1.9702 c. M: 2.7143 c. 93: 17 18 19 19 20 SP SD: 1.9695 c. M: 3.3871 c. 98: 18 19 20 20 21 SP SD: 1.9404 c. M:-3.4082 c. 121: 22 24 24 25 26 SP SD: 1.9225 c. M: 3.7851 c. 122: 22 24 25 25 26 SP SD: 1.8760 c. M:-3.2623 c. 124: 22 25 25 25 27 SP SD: 2.1706 c. M: 4.0968 c. 126: 23 25 25 26 27 SP SD: 1.9931 c. M: 2.7619 c. 127: 23 25 26 26 27 SP SD: 1.9373 c. M:-3.8819 c. 129: 23 26 26 26 28 SP SD: 1.5618 c. M: 3.0465 c. 134: 24 27 27 27 29 SP SD: 1.2649 c. M: 2.0746 c. 143: 26 28 29 29 31 SP SD: 1.2938 c. M: 1.8531 c. 148: 27 29 30 30 32 SP SD: 1.0278 c. M:-1.9189 c. 172: 31 34 35 35 37 SP SD: 0.8545 c. M: 1.5116 c. 177: 32 35 36 36 38 SP SD: 0.7158 c. M:-1.3729 c. 222: 40 44 45 45 48 SP SD: 0.6654 c. M: 0.9459 c. 227: 41 45 46 46 49 SP SD: 0.2235 c. M: 0.3744 c. 232: 42 46 47 47 50 SP SD: 0.2482 c. M:-0.3793 c. 459: 83 91 93 93 99 SP SD: 0.0920 c. M:-0.1765 c. 741: 134 147 150 150 160 SP SD: 0.0570 c. M: 0.1093 c. 968: 175 192 196 196 209 SP SD: 0.0595 c. M: 0.0909 c. 973: 176 193 197 197 210 SP SD: 0.0521 c. M:-0.0874 c. 1200: 217 238 243 243 259 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: 1.9775 cents 3 x 4 x 5:6 S SD: 23.7138 cents 4 x 5:6:7:8 S SD: 18.5535 cents 5:6 x 7:9:10 SD: 42.5254 cents 6:7:8:9:10:12 S SD: 17.3941 cents 7:8:9:10:12:14 S SD: 16.9017 cents 8:9:10:12:14:16 S SD: 15.0719 cents 10:11:13:15:17:20 SD: 11.3485 cents 14:16:18:21:24:28 S SD: 5.1967 cents 22:25:29:33:38:44 SD: 4.9079 cents 24:27:31:36:41:48 SD: 4.5698 cents 29:33:38:43:50:58 SD: 4.3556 cents 30:34:39:45:52:60 SD: 2.3927 cents 36:41:47:54:62:72 SD: 2.2417 cents 44:50:57:66:76:88 SD: 2.0797 cents 46:52:60:69:79:92 SD: 1.8500 cents 53:60:69:79:91:106 SD: 1.8227 cents 60:68:78:90:103:120 SD: 1.3603 cents 76:86:99:114:131:152 SD: 1.1752 cents 83:94:108:124:143:166 SD: 0.7141 cents 97:110:126:145:167:194 SD: 0.6140 cents 127:144:165:190:219:254 SD: 0.6117 cents 133:151:173:199:229:266 SD: 0.5596 cents 143:162:186:214:246:286 SD: 0.4206 cents 173:196:225:259:298:346 SD: 0.2362 cents 270:306:351:404:465:540 SD: 0.1830 cents 306:347:398:458:527:612 SD: 0.1448 cents 389:441:506:582:670:778 SD: 0.1305 cents 449:509:584:672:773:898 SD: 0.1069 cents 479:543:623:717:825:958 SD: 0.0865 cents 562:637:731:841:968:1124 SD: 0.0833 cents 576:653:749:862:992:1152 SD: 0.0827 cents