1619edo: 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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A quick summary is shown below. | A quick summary is shown below. | ||
{| class="wikitable" | {| class="wikitable" | ||
|+The Vidarines in 1619edo (named and unnamed) | |+ style="font-size: 105%;" | The Vidarines in 1619edo (named and unnamed) | ||
|- | |- | ||
! Temperament | |||
! Generator<br>associated ratio | |||
! Completing comma | |||
|- | |- | ||
|Decigrave (45 & 1619) | | Keenanose (270 & 1619) | ||
|66/65 ~ 65/64 | | 385/384 | ||
|{{monzo|23 5 13 -23 1 0}} | | 151263/151250 | ||
|- | |||
| Decigrave (45 & 1619) | |||
| 66/65 ~ 65/64 | |||
| {{monzo|23 5 13 -23 1 0}} | |||
|- | |- | ||
|Moulin (494 & 1619) | | Moulin (494 & 1619) | ||
|13/11 | | 13/11 | ||
|91125/91091 | | 91125/91091 | ||
|- | |- | ||
|46 & 1619 | | 46 & 1619 | ||
|3328/3087 | | 3328/3087 | ||
|{{monzo|-18 9 -2 8 -3 -1}} | | {{monzo| -18 9 -2 8 -3 -1 }} | ||
|- | |- | ||
|178 & 1619 | | 178 & 1619 | ||
|4429568/4084101 | | 4429568/4084101 | ||
|{{monzo|-29 10 2 12 -3 -4}} | | {{monzo| -29 10 2 12 -3 -4 }} | ||
|- | |- | ||
|224 & 1619 | | 224 & 1619 | ||
|256/175 | | 256/175 | ||
|18753525/18743296 | | 18753525/18743296 | ||
|- | |- | ||
|764 & 1619 | | 764 & 1619 | ||
|12375/8918 | | 12375/8918 | ||
|52734375/52706752 | | 52734375/52706752 | ||
|- | |- | ||
|901 & 1619 | | 901 & 1619 | ||
|104/99 | | 104/99 | ||
|34875815625/34843787264 | | 34875815625/34843787264 | ||
|} | |} | ||
While [[abigail]] is a member of the vidarines, 1619edo does not support it because abigail is a period-2 temperament, and 1619 is an odd number. | While [[abigail]] is a member of the vidarines, 1619edo does not support it because abigail is a period-2 temperament, and 1619 is an odd number. | ||
| Line 69: | Line 70: | ||
== Selected intervals == | == Selected intervals == | ||
{| class="wikitable mw-collapsible mw-collapsed" | {| class="wikitable mw-collapsible mw-collapsed" | ||
|+ style=white-space:nowrap | Table of intervals in 1619edo | |+ style="font-size: 105%; white-space: nowrap;" | Table of intervals in 1619edo | ||
|- | |||
! Step | ! Step | ||
! Cents | ! Cents | ||
! Ratio | ! Ratio | ||
! Name | ! Name* | ||
|- | |- | ||
| 0 | | 0 | ||
| Line 95: | Line 97: | ||
| septimal subminor third, grave minor third | | septimal subminor third, grave minor third | ||
|- | |- | ||
|744 | | 744 | ||
|551.451 | | 551.451 | ||
|11/8 | | 11/8 | ||
|11th harmonic, undecimal superfourth | | 11th harmonic, undecimal superfourth | ||
|- | |- | ||
|1134 | | 1134 | ||
|840.519 | | 840.519 | ||
|13/8 | | 13/8 | ||
|13th harmonic, tridecimal neutral sixth | | 13th harmonic, tridecimal neutral sixth | ||
|- | |- | ||
| 1619 | | 1619 | ||
| Line 110: | Line 112: | ||
| perfect octave | | perfect octave | ||
|} | |} | ||
<nowiki>* | <nowiki />* Named in accordance to their most just 13-limit counterpart using the names accepted on the wiki. | ||
== Regular temperament properties == | == Regular temperament properties == | ||
{ | {{comma basis begin}} | ||
|- | |- | ||
| 2.3 | | 2.3 | ||
| Line 157: | Line 151: | ||
| 0.0315 | | 0.0315 | ||
| 4.26 | | 4.26 | ||
{{comma basis end}} | |||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
{ | {{rank-2 begin}} | ||
|- | |- | ||
| 1 | | 1 | ||
| Line 214: | Line 203: | ||
| 4/3 | | 4/3 | ||
| [[Counterschismic]] | | [[Counterschismic]] | ||
{{rank-2 end}} | |||
{{orf}} | |||
[[Category:Quartismic]] | [[Category:Quartismic]] | ||
{{Todo| review }} | {{Todo| review }} | ||