Xenharmonic Wiki

229edo: Difference between revisions

← Older editNewer edit →
VisualWikitext
Correction and cleanup
ArrowHead294 (talk | contribs)
14,512 edits
mNo edit summary
Line 18: Line 18:


== 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 8ve <br>Stretch (¢)
! colspan="2" | Tuning Error
|-
! [[TE error|Absolute]] (¢)
! [[TE simple badness|Relative]] (%)
|-
|-
| 2.3
| 2.3
| {{monzo| 363 -229 }}
| {{monzo| 363 -229 }}
| {{mapping| 229 363 }}
| {{mapping| 229 363 }}
| -0.072
| &minus;0.072
| 0.072
| 0.072
| 1.38
| 1.38
Line 38: Line 30:
| 393216/390625, {{monzo| 39 -29 3 }}
| 393216/390625, {{monzo| 39 -29 3 }}
| {{mapping| 229 363 532 }}
| {{mapping| 229 363 532 }}
| -0.258
| &minus;0.258
| 0.269
| 0.269
| 5.13
| 5.13
Line 45: Line 37:
| 2401/2400, 3136/3125, 14348907/14336000
| 2401/2400, 3136/3125, 14348907/14336000
| {{mapping| 229 363 532 643 }}
| {{mapping| 229 363 532 643 }}
| -0.247
| &minus;0.247
| 0.233
| 0.233
| 4.46
| 4.46
Line 52: Line 44:
| 2401/2400, 3025/3024, 3136/3125, 8019/8000
| 2401/2400, 3025/3024, 3136/3125, 8019/8000
| {{mapping| 229 363 532 643 792 }}
| {{mapping| 229 363 532 643 792 }}
| -0.134
| &minus;0.134
| 0.308
| 0.308
| 5.87
| 5.87
Line 59: Line 51:
| 561/560, 1089/1088, 1701/1700, 2401/2400, 3136/3125
| 561/560, 1089/1088, 1701/1700, 2401/2400, 3136/3125
| {{mapping| 229 363 532 643 792 936 }}
| {{mapping| 229 363 532 643 792 936 }}
| -0.106
| &minus;0.106
| 0.288
| 0.288
| 5.50
| 5.50
Line 66: Line 58:
| 476/475, 561/560, 1089/1088, 1216/1215, 1445/1444, 2401/2400
| 476/475, 561/560, 1089/1088, 1216/1215, 1445/1444, 2401/2400
| {{mapping| 229 363 532 643 792 936 973 }}
| {{mapping| 229 363 532 643 792 936 973 }}
| -0.130
| &minus;0.130
| 0.273
| 0.273
| 5.22
| 5.22
Line 73: Line 65:
| 476/475, 484/483, 561/560, 576/575, 736/735, 1089/1088, 1216/1215
| 476/475, 484/483, 561/560, 576/575, 736/735, 1089/1088, 1216/1215
| {{mapping| 229 363 532 643 792 936 973 1036 }}
| {{mapping| 229 363 532 643 792 936 973 1036 }}
| -0.129
| &minus;0.129
| 0.256
| 0.256
| 4.88
| 4.88
|-
|- style="border-top: double;"
| style="border-top: double;" | 2.3.5.7.11.13
| 2.3.5.7.11.13
| style="border-top: double;" | 351/350, 1573/1568, 2080/2079, 2197/2187, 3136/3125
| 351/350, 1573/1568, 2080/2079, 2197/2187, 3136/3125
| style="border-top: double;" | {{mapping| 229 363 532 643 792 847 }} (229)
| {{mapping| 229 363 532 643 792 847 }} (229)
| style="border-top: double;" | -0.017
| &minus;0.017
| style="border-top: double;" | 0.384
| 0.384
| style="border-top: double;" | 7.32
| 7.32
|-
|- style="border-top: double;"
| style="border-top: double;" | 2.3.5.7.11.13
| 2.3.5.7.11.13
| style="border-top: double;" | 352/351, 729/728, 1001/1000, 1716/1715, 3025/3024
| 352/351, 729/728, 1001/1000, 1716/1715, 3025/3024
| style="border-top: double;" | {{mapping| 229 363 532 643 792 848 }} (229f)
| {{mapping| 229 363 532 643 792 848 }} (229f)
| style="border-top: double;" | -0.253
| &minus;0.253
| style="border-top: double;" | 0.387
| 0.387
| style="border-top: double;" | 7.39
| 7.39
|}
{{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
Line 148: Line 134:
| 18/13
| 18/13
| [[Trident]] (229)
| [[Trident]] (229)
|}
{{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:Hemiwürschmidt]]
[[Category:Würschmidt]]
[[Category:Würschmidt]]
[[Category:Hemiwürschmidt]]
Retrieved from "https://en.xen.wiki/w/229edo"