1759edo: Difference between revisions

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Created page with "{{Infobox ET}} {{EDO intro|1759}} == Theory == 1759edo is consistent to the 23-odd-limit, tempering out 3025/3024, 2500/2499, 5985/5984, ..."
 
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== 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
| 2.3
| {{monzo|2788 -1759}}
| {{monzo|2788 -1759}}
| {{mapping|1759 2788}}
| {{mapping|1759 2788}}
| -0.0110
| &minus;0.0110
| 0.0110
| 0.0110
| 1.61
| 1.61
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| 0.0315
| 0.0315
| 4.62
| 4.62
|}
{{comma basis end}}


=== Rank-2 temperaments ===
=== Rank-2 temperaments ===
{| 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
|-
|-
| 1
| 1
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| 16/15
| 16/15
| [[Vavoom]]
| [[Vavoom]]
|}
{{rank-2 end}}
 
{{orf}}
<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct