94edo: Difference between revisions

Regular temperament properties: cleanup and make the rank-2 temp table start with nullity-2 temps if applicable
Line 805: Line 805:
| 2.3
| 2.3
| {{monzo| 149 -94 }}
| {{monzo| 149 -94 }}
| [{{val| 94 149 }}]
| {{mapping| 94 149 }}
| -0.054
| -0.054
| 0.054
| 0.054
Line 812: Line 812:
| 2.3.5
| 2.3.5
| 32805/32768, 9765625/9565938
| 32805/32768, 9765625/9565938
| [{{val| 94 149 218 }}]
| {{mapping| 94 149 218 }}
| +0.442
| +0.442
| 0.704
| 0.704
Line 819: Line 819:
| 2.3.5.7
| 2.3.5.7
| 225/224, 3125/3087, 118098/117649
| 225/224, 3125/3087, 118098/117649
| [{{val| 94 149 218 264 }}]
| {{mapping| 94 149 218 264 }}
| +0.208
| +0.208
| 0.732
| 0.732
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| 2.3.5.7.11
| 2.3.5.7.11
| 225/224, 385/384, 1331/1323, 2200/2187
| 225/224, 385/384, 1331/1323, 2200/2187
| [{{val| 94 149 218 264 325 }}]
| {{mapping| 94 149 218 264 325 }}
| +0.304
| +0.304
| 0.683
| 0.683
Line 833: Line 833:
| 2.3.5.7.11.13
| 2.3.5.7.11.13
| 225/224, 275/273, 325/324, 385/384, 1331/1323
| 225/224, 275/273, 325/324, 385/384, 1331/1323
| [{{val| 94 149 218 264 325 348 }}]
| {{mapping| 94 149 218 264 325 348 }}
| +0.162
| +0.162
| 0.699
| 0.699
Line 840: Line 840:
| 2.3.5.7.11.13.17
| 2.3.5.7.11.13.17
| 170/169, 225/224, 275/273, 289/288, 325/324, 385/384
| 170/169, 225/224, 275/273, 289/288, 325/324, 385/384
| [{{val| 94 149 218 264 325 348 384 }}]
| {{mapping| 94 149 218 264 325 348 384 }}
| +0.238
| +0.238
| 0.674
| 0.674
Line 847: Line 847:
| 2.3.5.7.11.13.17.19
| 2.3.5.7.11.13.17.19
| 170/169, 190/189, 225/224, 275/273, 289/288, 325/324, 385/384
| 170/169, 190/189, 225/224, 275/273, 289/288, 325/324, 385/384
| [{{val| 94 149 218 264 325 348 384 399 }}]
| {{mapping| 94 149 218 264 325 348 384 399 }}
| +0.323
| +0.323
| 0.669
| 0.669
Line 854: Line 854:
| 2.3.5.7.11.13.17.19.23
| 2.3.5.7.11.13.17.19.23
| 170/169, 190/189, 209/208, 225/224, 275/273, 289/288, 300/299, 323/322
| 170/169, 190/189, 209/208, 225/224, 275/273, 289/288, 300/299, 323/322
| [{{val| 94 149 218 264 325 348 384 399 425 }}]
| {{mapping| 94 149 218 264 325 348 384 399 425 }}
| +0.354
| +0.354
| 0.637
| 0.637
Line 864: Line 864:
{| class="wikitable center-all right-3 left-5"
{| class="wikitable center-all right-3 left-5"
! Periods<br>per 8ve
! Periods<br>per 8ve
! Generator
! Generator*
! Cents
! Cents*
! Associated<br>Ratio
! Associated<br>Ratio*
! Temperament
! Temperament
|-
|-
Line 879: Line 879:
| 63.83
| 63.83
| 25/24
| 25/24
| [[Sycamore]] / [[betic]]
| [[Betic]]
|-
|-
| 1
| 1
Line 903: Line 903:
| 497.87
| 497.87
| 4/3
| 4/3
| [[Helmholtz]] / [[garibaldi]] / [[cassandra]]
| [[Garibaldi]] / [[cassandra]]
|-
|-
| 2
| 2
Line 935: Line 935:
| [[Kleischismic]]
| [[Kleischismic]]
|}
|}
<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct


Below are some 23-limit temperaments supported by 94et. It might be noted that 94, a very good tuning for [[garibaldi temperament]], shows us how to extend it to the 23-limit.
Below are some 23-limit temperaments supported by 94et. It might be noted that 94, a very good tuning for [[garibaldi temperament]], shows us how to extend it to the 23-limit.