101afdo: Difference between revisions
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It is a large [[primodality|primodal]] scale which is suited for use as a [[neji]] tuning. It is the 26th [[prime harmonic series|prime mode of the harmonic series]]. | It is a large [[primodality|primodal]] scale which is suited for use as a [[neji]] tuning. It is the 26th [[prime harmonic series|prime mode of the harmonic series]]. | ||
== Lowest-error neji approximations == | == Theory == | ||
=== Lowest-error neji approximations === | |||
101afdo approximates five [[edo]]s <35, including two [[zeta peak edo]]s, with lower [[NEJI Tables/Greatest Error|maximum error]] than any smaller mode of the harmonic series:<small> | |||
* [[8edo]] (101:110:120:131:143:156:170:185:202) | * [[8edo]] (101:110:120:131:143:156:170:185:202) | ||
* [[19edo]] (101:105:109:113:117:121:126:130:135:140:145:151:156:162:168:175:181:188:195:202) | * [[19edo]] (101:105:109:113:117:121:126:130:135:140:145:151:156:162:168:175:181:188:195:202) | ||
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* [[27edo]] (101:104:106:109:112:115:118:121:124:127:131:134:137:141:145:148:152:156:160:164:169:173:178:182:187:192:197:202)</small> | * [[27edo]] (101:104:106:109:112:115:118:121:124:127:131:134:137:141:145:148:152:156:160:164:169:173:178:182:187:192:197:202)</small> | ||
It approximates seven edos, including three zeta peak edos, with lower [[NEJI Tables/Average Error|average error]] than any smaller mode of the harmonic series:<small> | It approximates seven edos <35, including three zeta peak edos, with lower [[NEJI Tables/Average Error|average error]] than any smaller mode of the harmonic series:<small> | ||
* [[5edo]] (101:116:133:153:176:202) | * [[5edo]] (101:116:133:153:176:202) | ||
* [[12edo]] (101:107:113:120:127:135:143:151:160:170:180:191:202) | * [[12edo]] (101:107:113:120:127:135:143:151:160:170:180:191:202) | ||