1106edo: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|1106}}
{{EDO intro|1106}}
 
== Theory ==
1106edo is a [[The Riemann zeta function and tuning #Zeta EDO lists|zeta peak edo]]. It is strong as a 7-limit system; the only edos lower than it with a lower 7-limit [[Tenney-Euclidean temperament measures #TE simple badness|relative error]] being {{EDOs| 171, 270, 342, 441 and 612 }}. It is even stronger in the 11-limit; the only ones beating it out now being {{EDOs| 270, 342 and 612 }}. It is less strong in the 13 and 17 limits, but even so is distinctly [[consistent]] through the [[17-odd-limit]].  
1106edo is a [[The Riemann zeta function and tuning #Zeta EDO lists|zeta peak edo]]. It is strong as a 7-limit system; the only edos lower than it with a lower 7-limit [[Tenney-Euclidean temperament measures #TE simple badness|relative error]] being {{EDOs| 171, 270, 342, 441 and 612 }}. It is even stronger in the 11-limit; the only ones beating it out now being {{EDOs| 270, 342 and 612 }}. It is less strong in the 13 and 17 limits, but even so is distinctly [[consistent]] through the [[17-odd-limit]].  


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=== Divisors ===
=== Divisors ===
Since 1106 factors into 2 × 7 × 79, it has subset edos {{EDOs| 2, 7, 14, 79, 158, and 553 }}.
Since 1106 factors into 2 × 7 × 79, it has subset edos {{EDOs| 2, 7, 14, 79, 158, and 553 }}.
== Regular temperament properties ==
=== Rank-2 temperaments ===
{| class="wikitable center-all left-5"
! Periods<br>per 8ve
! Generator<br>(Reduced)
! Cents<br>(Reduced)
! Associated<br>Ratio
! Temperaments
|-
| 1
| 213\1106
| 231.103
| 8/7
| [[Orga]]
|-
| 1
| 401\1106
| 435.081
| 9/7
| [[Supermajor]]
|-
| 2
| 401\1106
| 435.081
| 9/7
| [[Semisupermajor]]
|-
| 7
| 479\1106<br>(5\1106)
| 519.711<br>(5.424)
| 27/20<br>(325/324)
| [[Brahmagupta]]
|-
| 79
| 459\1106<br>(11\1106)
| 498.011<br>(11.935)
| 4/3<br>(?)
| [[Gold]]
|}