403edo: Difference between revisions

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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| 639 -403 }}
| {{monzo| 639 -403 }}
| {{mapping| 403 639 }}
| {{mapping| 403 639 }}
| -0.2443
| &minus;0.2443
| 0.2443
| 0.2443
| 8.20
| 8.20
Line 38: Line 30:
| 1600000/1594323, {{monzo| 81 -13 -26 }}
| 1600000/1594323, {{monzo| 81 -13 -26 }}
| {{mapping| 403 639 936 }}
| {{mapping| 403 639 936 }}
| -0.2753
| &minus;0.2753
| 0.2042
| 0.2042
| 6.86
| 6.86
Line 45: Line 37:
| 3136/3125, 1600000/1594323, 2100875/2097152
| 3136/3125, 1600000/1594323, 2100875/2097152
| {{mapping| 403 639 936 1131 }} (403)
| {{mapping| 403 639 936 1131 }} (403)
| -0.3751
| &minus;0.3751
| 0.2473
| 0.2473
| 8.31
| 8.31
Line 52: Line 44:
| 3025/3024, 3136/3125, 12005/11979, 131072/130977
| 3025/3024, 3136/3125, 12005/11979, 131072/130977
| {{mapping| 403 639 936 1131 1394 }} (403)
| {{mapping| 403 639 936 1131 1394 }} (403)
| -0.0621
| &minus;0.0621
| 0.3160
| 0.3160
| 10.61
| 10.61
Line 59: Line 51:
| 2080/2079, 3025/3024, 3136/3125, 4096/4095, 12005/11979
| 2080/2079, 3025/3024, 3136/3125, 4096/4095, 12005/11979
| {{mapping| 403 639 936 1131 1394 1491 }} (403)
| {{mapping| 403 639 936 1131 1394 1491 }} (403)
| -0.0146
| &minus;0.0146
| 0.3074
| 0.3074
| 10.32
| 10.32
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| 0.2927
| 0.2927
| 9.83
| 9.83
|}
{{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 97: Line 83:
| 243/200
| 243/200
| [[Amity]] (403defff)
| [[Amity]] (403defff)
|}
{{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}}