Xenharmonic Wiki

354edo: Difference between revisions

← Older editNewer edit →
VisualWikitext
Eliora (talk | contribs)
autopatrolled, emailconfirmed
3,352 edits
→Theory: expand, a bit of paragraph sectioning
ArrowHead294 (talk | contribs)
14,512 edits
mNo edit summary
Line 16: Line 16:


== Regular temperament properties ==
== Regular temperament properties ==
{| class="wikitable center-4 center-5 center-6"
{{comma basis begin}}
! rowspan="2" | [[Subgroup]]
! rowspan="2" | [[Comma list|Comma List]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | Optimal<br>8ve Stretch (¢)
! colspan="2" | Tuning Error
|-
! [[TE error|Absolute]] (¢)
! [[TE simple badness|Relative]] (%)
|-
|-
| 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
| &minus;0.0319
| 0.1432
| 0.1432
| 4.23
| 4.23
Line 36: Line 28:
| 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
| &minus;0.0963
| 0.1817
| 0.1817
| 5.36
| 5.36
Line 43: Line 35:
| 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
| &minus;0.0871
| 0.1671
| 0.1671
| 4.93
| 4.93
Line 50: Line 42:
| 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
| &minus;0.0791
| 0.1559
| 0.1559
| 4.60
| 4.60
Line 57: Line 49:
| 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
| &minus;0.0926
| 0.1509
| 0.1509
| 4.43
| 4.43
|}
{{comma basis end}}


=== Rank-2 temperaments ===
=== Rank-2 temperaments ===
Note: 5-limit temperaments supported by [[118edo|118et]] are not included.  
Note: 5-limit temperaments supported by [[118edo|118et]] are not included.  


{| class="wikitable center-all left-5"
{{rank-2 begin}}
|+Table of rank-2 temperaments by generator
! Periods<br>per 8ve
! Generator*
! Cents*
! Associated<br>Ratio*
! Temperaments
|-
|-
| 2
| 2
| 128\354<br>(49\354)
| 128\354<br />(49\354)
| 433.90<br>(166.10)
| 433.90<br />(166.10)
| 9/7<br>(11/10)
| 9/7<br />(11/10)
| [[Pogo]]
| [[Pogo]]
|-
|-
| 3
| 3
| 147\354<br>(29\354)
| 147\354<br />(29\354)
| 498.31<br>(98.31)
| 498.31<br />(98.31)
| 4/3<br>(18/17)
| 4/3<br />(18/17)
| [[Term (temperament)|Term]] / terminator
| [[Term (temperament)|Term]] / terminator
|-
|-
| 6
| 6
| 64\354<br>(5\354)
| 64\354<br />(5\354)
| 216.95<br>(16.95)
| 216.95<br />(16.95)
| 17/15<br>(245/243)
| 17/15<br />(245/243)
| [[Stearnscape]]
| [[Stearnscape]]
|-
|-
| 6
| 6
| 147\354<br>(29\354)
| 147\354<br />(29\354)
| 498.31<br>(98.31)
| 498.31<br />(98.31)
| 4/3<br>(18/17)
| 4/3<br />(18/17)
| [[Semiterm]]
| [[Semiterm]]
|-
|-
| 118
| 118
| 167\354<br>(2\354)
| 167\354<br />(2\354)
| 566.101<br>(6.78)
| 566.101<br />(6.78)
| 165/119<br>(?)
| 165/119<br />(?)
| [[Oganesson]]
| [[Oganesson]]
|}
{{rank-2 end}}
<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct
{{orf}}


[[Category:Stearnscape]]
[[Category:Stearnscape]]
Retrieved from "https://en.xen.wiki/w/354edo"