217edo: Difference between revisions

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== Detemperaments ==

=== Ringer 217 ===

217edo is the basis for an exceptional Ringer scale that maps an unusually very large amount of the harmonic series (without having to omit any other harmonics) compared to other edos in this size range. Specifically, it maps the complete mode 167 of the harmonic series, corresponding to the ''entire'' 333-odd-limit. As 217 = 31 * 7, this can be used to derive 7 possible 31nejis.

217edo is the basis for an exceptional Ringer scale that maps an unusually very large amount of the harmonic series (without having to omit any other harmonics) compared to other edos in this size range. Specifically, it maps the complete mode 167 of the harmonic series, corresponding to the ''entire'' 333-odd-limit. As {{nowrap| 217 {{=}} 31 × 7 }}, this can be used to derive 7 possible 31nejis.

==== Deriving 31nejis ====

This section shows how one can programmatically derive the 7 possible 31nejis aforementioned through use of [[User:Godtone]]'s [[User:Godtone#~~My_Python_3_code~~|copyleft Python 3 code]]:

This section shows how one can programmatically derive the 7 possible 31nejis aforementioned through use of [[User:Godtone]]'s [[User:Godtone #My Python 3 code|copyleft Python 3 code]]:

>>> r217text = '[paste the above Ringer 217 data here]'

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== References ==

<~~ref name=":0"~~ /> ~~[[Ragismic microtemperaments#Brahmagupta]]~~

[[Category:Arch]]

[[Category:Birds]]

[[Category:Cotoneum]]

@@ Line 389: / Line 389: @@
 == Detemperaments ==
 === Ringer 217 ===
-edo is the basis for an exceptional Ringer scale that maps an unusually very large amount of the harmonic series (without having to omit any other harmonics) compared to other edos in this size range. Specifically, it maps the complete mode 167 of the harmonic series, corresponding to the ''entire'' 333-odd-limit. As 217 = 31 * 7, this can be used to derive 7 possible 31nejis.
+edo is the basis for an exceptional Ringer scale that maps an unusually very large amount of the harmonic series (without having to omit any other harmonics) compared to other edos in this size range. Specifically, it maps the complete mode 167 of the harmonic series, corresponding to the ''entire'' 333-odd-limit. As {{nowrap| 217 {{=}} 31 × 7 }}, this can be used to derive 7 possible 31nejis.
 <pre>167:168:337/2:169:339/2:170:341/2:171:687/4:172:173:347/2:174:349/2:175:351/2:176:353/2:177:178:357/2:179:359/2:180:361/2:181:182:365/2:183:367/2:184:369/2:185:186:373/2:187:375/2:188:189:379/2:190:191:383/2:192:385/2:193:194:389/2:195:196:393/2:197:395/2:198:199:399/2:200:401/2:201:202:203:813/4:204:409/2:205:206:413/2:207:208:417/2:209:210:421/2:211:212:425/2:213:214:429/2:215:216:217:435/2:218:219:439/2:220:221:443/2:222:223:224:449/2:225:226:227:455/2:228:229:459/2:230:231:232:465/2:233:234:469/2:235:236:237:238:239:479/2:240:241:483/2:242:243:244:245:491/2:246:247:248:497/2:249:250:251:252:505/2:253:254:255:256:257:515/2:258:259:260:261:262:263:527/2:264:265:266:267:535/2:268:269:270:271:272:273:274:549/2:275:276:277:278:279:280:281:563/2:282:283:284:285:286:287:288:289:290:291:292:293:294:589/2:295:296:297:298:299:300:301:302:303:304:305:306:307:308:309:310:311:312:313:314:315:316:317:318:319:320:321:322:323:324:325:326:327:328:329:330:331:332:333:334</pre>
 ==== Deriving 31nejis ====
-This section shows how one can programmatically derive the 7 possible 31nejis aforementioned through use of [[User:Godtone]]'s [[User:Godtone#My_Python_3_code|copyleft Python 3 code]]:
+This section shows how one can programmatically derive the 7 possible 31nejis aforementioned through use of [[User:Godtone]]'s [[User:Godtone #My Python 3 code|copyleft Python 3 code]]:
 <syntaxhighlight lang="python">
 >>> r217text = '[paste the above Ringer 217 data here]'
@@ Line 416: / Line 416: @@
 == References ==
-<ref name=":0" /> [[Ragismic microtemperaments#Brahmagupta]]
+<references/>
 [[Category:Arch]]
 [[Category:Birds]]
 [[Category:Cotoneum]]