487edo: Difference between revisions

Cleanup; clarify the title row of the rank-2 temp table; -redundant categories
ArrowHead294 (talk | contribs)
mNo edit summary
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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| 772 -487 }}
| {{monzo| 772 -487 }}
| {{mapping| 487 772 }}
| {{mapping| 487 772 }}
| -0.0958
| &minus;0.0958
| 0.0958
| 0.0958
| 3.89
| 3.89
Line 32: Line 24:
| {{monzo| 24 -21 4 }}, {{monzo| 55 -1 -23 }}
| {{monzo| 24 -21 4 }}, {{monzo| 55 -1 -23 }}
| {{mapping| 487 772 1131 }}
| {{mapping| 487 772 1131 }}
| -0.1421
| &minus;0.1421
| 0.1020
| 0.1020
| 4.14
| 4.14
Line 39: Line 31:
| 4375/4374, 235298/234375, 33554432/33480783
| 4375/4374, 235298/234375, 33554432/33480783
| {{mapping| 487 772 1131 1367 }}
| {{mapping| 487 772 1131 1367 }}
| -0.0667
| &minus;0.0667
| 0.1577
| 0.1577
| 6.40
| 6.40
Line 46: Line 38:
| 4375/4374, 5632/5625, 12005/11979, 41503/41472
| 4375/4374, 5632/5625, 12005/11979, 41503/41472
| {{mapping| 487 772 1131 1367 1685 }}
| {{mapping| 487 772 1131 1367 1685 }}
| -0.0899
| &minus;0.0899
| 0.1485
| 0.1485
| 6.03
| 6.03
Line 53: Line 45:
| 676/675, 1001/1000, 4096/4095, 4375/4374, 12005/11979
| 676/675, 1001/1000, 4096/4095, 4375/4374, 12005/11979
| {{mapping| 487 772 1131 1367 1685 1802 }}
| {{mapping| 487 772 1131 1367 1685 1802 }}
| -0.0623
| &minus;0.0623
| 0.1490
| 0.1490
| 6.05
| 6.05
|}
{{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 102: Line 88:
| 864/625
| 864/625
| [[Tritriple]] (5-limit)
| [[Tritriple]] (5-limit)
|}
{{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}}


== Scales ==
== Scales ==