80edo: Difference between revisions
→Theory: cleanup (4/): skipping two odd harmonics is usually the limit of understanding for most ppl |
→Detemperaments: these need to be put into code blocks to allow wrapping |
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Mode 63 of the harmonic series (corresponding to 125-odd-limit) with added odds from mode 63 × 2 = 126 in square brackets: | Mode 63 of the harmonic series (corresponding to 125-odd-limit) with added odds from mode 63 × 2 = 126 in square brackets: | ||
<pre> | |||
63:64:[129]:65:[131]:66:[133]:67:68:[137]:69:[139]:70:71:[143]:72:[145]:73:74:[149] | |||
75:76:[153]:77:78:[157]:79:80:[161]:81:82:83:[167]:84:85:86:[173]:87:88:89 | |||
[179]:90:91:92:[185]:93:94:95:96:97:[195]:98:99:100:101:102:103:104:[209]:105 | |||
106:107:108:109:110:111:112:113:114:115:116:117:118:119:120:121:122:123:124:125(:126) | |||
</pre> | |||
The above is split into 20 harmonics per line a.k.a. ~300¢ worth of harmonic content per line. | The above is split into 20 harmonics per line a.k.a. ~300¢ worth of harmonic content per line. | ||
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In lowest terms as a /105 scale corresponding to a [[primodal]] /53 scale, among other possible interpretations: | In lowest terms as a /105 scale corresponding to a [[primodal]] /53 scale, among other possible interpretations: | ||
<pre> | |||
105:106:107:108:109:110:111:112:113:114:115:116:117:118:119:120:121:122:123:124:125:126:128:129:130:131:132:133:134:136:137:138:139:140:142:143:144:145:146:148:149:150:152:153:154:156:157:158:160:161:162:164:166:167:168:170:172:173:174:176:178:179:180:182:184:185:186:188:190:192:194:195:196:198:200:202:204:206:208:209:210 | |||
</pre> | |||
This form is useful for copy-pasting into tools that accept colon-separated harmonic series chord enumerations as scales. | This form is useful for copy-pasting into tools that accept colon-separated harmonic series chord enumerations as scales. | ||
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As reduced, rooted intervals (16 intervals per line): | As reduced, rooted intervals (16 intervals per line): | ||
<pre> | |||
129/128, 65/64, 131/128, 33/32, 133/128, 67/64, 17/16, 137/128, 69/64, 139/128, 35/32, 71/64, 143/128, 9/8, 145/128, 73/64, | |||
37/32, 75/64, 19/16, 153/128, 77/64, 39/32, 157/128, 79/64, 5/4, 161/128, 81/64, 41/32, 83/64, 167/128, 21/16, 85/64, | |||
43/32, 173/128, 87/64, 11/8, 89/64, 179/128, 45/32, 91/64, 23/16, 185/128, 93/64, 47/32, 95/64, 3/2, 97/64, 195/128, | |||
49/32, 99/64, 25/16, 101/64, 51/32, 103/64, 13/8, 209/128, 105/64, 53/32, 107/64, 27/16, 109/64, 55/32, 111/64, 7/4, | |||
113/64, 57/32, 115/64, 29/16, 117/64, 59/32, 119/64, 15/8, 121/64, 61/32, 123/64, 31/16, 125/64, 63/32, 2/1 | |||
</pre> | |||
== Scales == | == Scales == | ||