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Created page with "{{Infobox ET}} {{EDO intro|4349}} == Theory == 4349edo is consistent to the 29-odd-limit, tempering out 12376/12375, 10241/10240, 13377/13376, 8937..."
 
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4349edo is the 594th [[prime EDO]].
4349edo is the 594th [[prime EDO]].


{| class="wikitable center-4 center-5 center-6"
== Regular temperament properties ==
! rowspan="2" |[[Subgroup]]
{{comma basis begin}}
! 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|-6893 4349}}
| {{monzo|-6893 4349}}
| {{mapping|4349 6893}}
| {{mapping|4349 6893}}
| 0.0002
| +0.0002
| 0.0002
| 0.0002
| 0.07
| 0.07
Line 31: Line 24:
| {{monzo|-107 47 14}}, {{monzo|-35 -79 69}}
| {{monzo|-107 47 14}}, {{monzo|-35 -79 69}}
| {{mapping|4349 6893 10098}}
| {{mapping|4349 6893 10098}}
| 0.0027
| +0.0027
| 0.0036
| 0.0036
| 1.30
| 1.30
Line 38: Line 31:
| 78125000/78121827, {{monzo|-1 -18 -3 13}}, {{monzo|-52 17 12 -1}}
| 78125000/78121827, {{monzo|-1 -18 -3 13}}, {{monzo|-52 17 12 -1}}
| {{mapping|4349 6893 10098 12209}}
| {{mapping|4349 6893 10098 12209}}
| 0.0066
| +0.0066
| 0.0074
| 0.0074
| 2.68
| 2.68
Line 45: Line 38:
| 151263/151250, 21437500/21434787, 246071287/246037500, 369140625/369098752
| 151263/151250, 21437500/21434787, 246071287/246037500, 369140625/369098752
| {{mapping|4349 6893 10098 12209 15045}}
| {{mapping|4349 6893 10098 12209 15045}}
| 0.0064
| +0.0064
| 0.0067
| 0.0067
| 2.43
| 2.43
Line 52: Line 45:
| 123201/123200, 196625/196608, 151263/151250, 492128/492075, 5175625/5174928
| 123201/123200, 196625/196608, 151263/151250, 492128/492075, 5175625/5174928
| {{mapping|4349 6893 10098 12209 15045 16093}}
| {{mapping|4349 6893 10098 12209 15045 16093}}
| 0.0079
| +0.0079
| 0.0070
| 0.0070
| 2.54
| 2.54
Line 59: Line 52:
| 12376/12375, 123201/123200, 37180/37179, 194481/194480, 221221/221184, 1328125/1328096
| 12376/12375, 123201/123200, 37180/37179, 194481/194480, 221221/221184, 1328125/1328096
| {{mapping|4349 6893 10098 12209 15045 16093 17776}}
| {{mapping|4349 6893 10098 12209 15045 16093 17776}}
| 0.0104
| +0.0104
| 0.0089
| 0.0089
| 3.23
| 3.23
|}
{{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
|803\4349
| 803\4349
|221.5682
| 221.5682
|8388608/7381125
| 8388608/7381125
|[[Fortune]]
| [[Fortune]]
|}
{{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
Retrieved from "https://en.xen.wiki/w/4349edo"