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→Regular temperament properties: + trivish. Also convert the table of rank-2 temps to minimal form since we're already reducing it to the first semi-octave
 
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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|354}}
{{ED intro}}


== Theory ==
== Theory ==
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! rowspan="2" | [[Comma list]]
! rowspan="2" | [[Comma list]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | Optimal<br />8ve stretch (¢)
! rowspan="2" | Optimal<br>8ve stretch (¢)
! colspan="2" | Tuning error
! colspan="2" | Tuning error
|-
|-
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| 2.3.5.7
| 2.3.5.7
| 32805/32768, 118098/117649, 250047/250000
| 32805/32768, 118098/117649, 250047/250000
| {{mapping| 354 561 822 994 }}
| {{Mapping| 354 561 822 994 }}
| −0.0319
| −0.0319
| 0.1432
| 0.1432
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| 2.3.5.7.11
| 2.3.5.7.11
| 540/539, 4000/3993, 32805/32768, 137781/137500
| 540/539, 4000/3993, 32805/32768, 137781/137500
| {{mapping| 354 561 822 994 1225 }}
| {{Mapping| 354 561 822 994 1225 }}
| −0.0963
| −0.0963
| 0.1817
| 0.1817
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| 2.3.5.7.11.13
| 2.3.5.7.11.13
| 540/539, 729/728, 1575/1573, 4096/4095, 31250/31213
| 540/539, 729/728, 1575/1573, 4096/4095, 31250/31213
| {{mapping| 354 561 822 994 1225 1310 }}
| {{Mapping| 354 561 822 994 1225 1310 }}
| −0.0871
| −0.0871
| 0.1671
| 0.1671
Line 50: Line 50:
| 2.3.5.7.11.13.17
| 2.3.5.7.11.13.17
| 540/539, 729/728, 936/935, 1156/1155, 1575/1573, 4096/4095
| 540/539, 729/728, 936/935, 1156/1155, 1575/1573, 4096/4095
| {{mapping| 354 561 822 994 1225 1310 1447 }}
| {{Mapping| 354 561 822 994 1225 1310 1447 }}
| −0.0791
| −0.0791
| 0.1559
| 0.1559
Line 57: Line 57:
| 2.3.5.7.11.13.17.19
| 2.3.5.7.11.13.17.19
| 540/539, 729/728, 936/935, 969/968, 1156/1155, 1445/1444, 1521/1520
| 540/539, 729/728, 936/935, 969/968, 1156/1155, 1445/1444, 1521/1520
| {{mapping| 354 561 822 994 1225 1310 1447 1504 }}
| {{Mapping| 354 561 822 994 1225 1310 1447 1504 }}
| −0.0926
| −0.0926
| 0.1509
| 0.1509
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|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator
|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator
|-
|-
! Periods<br />per 8ve
! Periods<br>per 8ve
! Generator*
! Generator*
! Cents*
! Cents*
! Associated<br />ratio*
! Associated<br>ratio*
! Temperaments
! Temperaments
|-
|-
| 2
| 2
| 128\354<br />(49\354)
| 49\354
| 433.90<br />(166.10)
| 166.10
| 9/7<br />(11/10)
| 11/10
| [[Pogo]]
| [[Pogo]]
|-
|-
| 3
| 3
| 147\354<br />(29\354)
| 29\354
| 498.31<br />(98.31)
| 98.31
| 4/3<br />(18/17)
| 18/17
| [[Term (temperament)|Term]] / terminator
| [[Term (temperament)|Term]] / terminator
|-
|-
| 6
| 6
| 64\354<br />(5\354)
| 5\354
| 216.95<br />(16.95)
| 16.95
| 17/15<br />(245/243)
| 245/243
| [[Stearnscape]]
| [[Stearnscape]]
|-
|-
| 6
| 6
| 147\354<br />(29\354)
| 21\354
| 498.31<br />(98.31)
| 71.19
| 4/3<br />(18/17)
| 25/24
| [[Trivish]]
|-
| 6
| 29\354
| 98.31
| 18/17
| [[Semiterm]]
| [[Semiterm]]
|-
|-
| 118
| 118
| 167\354<br />(2\354)
| 2\354
| 566.101<br />(6.78)
| 6.78
| 165/119<br />(?)
| ?
| [[Oganesson]]
| [[Oganesson]]
|}
|}
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct
<nowiki/>* In [[normal forms #Minimal-generator form|minimal-generator form]]


[[Category:Stearnscape]]
[[Category:Stearnscape]]
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