Diaschismic–gothmic equivalence continuum: Difference between revisions
m change s to k for kleisma and credit Lerendiel for the important discovery about the commas connected by a chain of kleisma |
add half-integer points to kleismic-tetracot continuum |
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| Line 77: | Line 77: | ||
{| class="wikitable center-1" | {| class="wikitable center-1" | ||
|+ Temperaments with integer ''k'' in the kleismic-tetracot continuum | |+ Temperaments with half-integer ''k'' in the kleismic-tetracot continuum | ||
|- | |- | ||
! rowspan="2" | ''k'' | ! rowspan="2" | ''k'' | ||
| Line 104: | Line 104: | ||
| [[20000/19683]] | | [[20000/19683]] | ||
| {{monzo| 5 -9 4 }} | | {{monzo| 5 -9 4 }} | ||
|- | |||
| 0.5 | |||
| 1 | |||
| [[Immunity]] | |||
| [[1638400/1594323]] | |||
| {{monzo| 16 -13 2 }} | |||
|- | |- | ||
| 1 | | 1 | ||
| Line 110: | Line 116: | ||
| [[2048/2025]] | | [[2048/2025]] | ||
| {{monzo| 11 -4 -2 }} | | {{monzo| 11 -4 -2 }} | ||
|- | |||
| 1.5 | |||
| 5 | |||
| [[Mabila_family#Mabila|Mabila]] | |||
| 268435456/263671875 | |||
| {{monzo| 28 -3 -10 }} | |||
|- | |- | ||
| 2 | | 2 | ||
| Line 116: | Line 128: | ||
| [[393216/390625]] | | [[393216/390625]] | ||
| {{monzo| 17 1 -8 }} | | {{monzo| 17 1 -8 }} | ||
|- | |||
| 2.5 | |||
| 11/3 | |||
| [[Majvam]] | |||
| 2404631929946112/2384185791015625 | |||
| {{monzo| 40 7 -22 }} | |||
|- | |- | ||
| 3 | | 3 | ||
| Line 122: | Line 140: | ||
| [[6115295232/6103515625]] | | [[6115295232/6103515625]] | ||
| {{monzo| 23 6 -14 }} | | {{monzo| 23 6 -14 }} | ||
|- | |||
| 3.5 | |||
| 17/5 | |||
| [[Chlorine]] | |||
| (24 digits; equal to ([[25/24]])<sup>17</sup> / [[2/1|2]]) | |||
| {{monzo| -52 -17 34 }} | |||
|- | |- | ||
| 4 | | 4 | ||
| Line 148: | Line 172: | ||
{| class="wikitable" | {| class="wikitable" | ||
|+ Temperaments with fractional ''r'' and ''k'' | |+ Temperaments with fractional ''n'', ''r'' and ''k'' | ||
|- | |- | ||
! '' | ! ''n'' !! ''r'' !! ''k'' !! Temperament !! Comma | ||
|- | |- | ||
| 5 | | 17/5 = 3.4|| 7/5 = 1.4 || 7/2 = 3.5 || [[Chlorine]] || [[Septendecima|{{monzo| -52 -17 34 }}]] | ||
|- | |- | ||
| | | 11/3 = 3.{{overline|6}} || 5/3 = 1.{{overline|6}} || 5/2 = 2.5 || [[Majvam]] || {{monzo| 40 7 -22 }} | ||
|- | |- | ||
| | | 9/2 = 4.5 || 5/2 = 2.5 || 5/3 = 1.{{overline|6}} || [https://sintel.pythonanywhere.com/result?subgroup=2.3.5.13.17&reduce=on&weights=tenney&target=&edos=&commas=35184372088832%2F34332275390625%2C+289%2F288%2C+2197%2F2187&submit_comma=submit 34 & 142] || {{monzo| 45 -2 -18 }} | ||
|} | |} | ||
[[Category:34edo]] | [[Category:34edo]] | ||
[[Category:Equivalence continua]] | [[Category:Equivalence continua]] | ||