Chromatic pairs: Difference between revisions

Barton may be described as the 11 &amp; 13 temperament. It was named after [[Jacob Barton]] by [[Gene Ward Smith]] and [[Carl Lumma]] in 2006<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_14632.html Yahoo! Tuning Group | "father" variant?]</ref>.  

[[Subgroup]]: 2.5.11.13

[[Comma list]]: 2200/2197, 6656/6655

{{Mapping|legend=2| 1 6 3 6 | 0 -8 1 -5 }}

{{Mapping|legend=3| 1 0 6 0 3 6 | 0 0 -8 0 1 -5 }}

: gencom: [2 11/8; 2200/2197 6656/6655]

[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~11/8 = 551.699

{{Optimal ET sequence|legend=1| 11, 13, 24, 37, 50, 87, 298, 385, 472, 559, 1590cd }}

[[Tp tuning #T2 tuning|RMS error]]: 0.0822 cents

* [[Barton5]] – 5-tone [[haplotonic scale]]

* [[Barton7]] – 7-tone [[albitonic scale]]

* [[Barton9]] – 9-tone [[mega-albitonic scale]]

* [[Barton11]] – 11-tone [[chromatic scale]]

* [[Barton13]] – 13-tone [[mega-chromatic scale]]