Rastmic–ptolemismic equivalence continuum: Difference between revisions

Xenllium (talk | contribs)
Created page with "The '''rastmic–ptolemismic equivalence continuum''' is a continuum of temperaments which equate a number of rastmas (243/242) with the ptolemisma (100/99). All temperaments in the continuum satisfy {{nowrap|(243/242)<sup>''n''</sup> ~ 100/99}}. Varying ''n'' results in different temperaments listed in the table below. It converges to the 2.3.5.11 subgroup temperament of {243/242} as ''n'' approaches infinity. If we allo..."
Tags: Mobile edit Mobile web edit
 
Xenllium (talk | contribs)
No edit summary
Tags: Mobile edit Mobile web edit
 
Line 53: Line 53:
| {{monzo| -1 5 0 -2 }}
| {{monzo| -1 5 0 -2 }}
|}
|}
Examples of temperaments with fractional values of ''n'':
* [[Tetracot|Tetracot expansion]] ({{nowrap|''n'' {{=}} {{frac|1|2}} {{=}} 0.5}})
* 7 & 34 & 164 ({{nowrap|''n'' {{=}} {{frac|3|2}} {{=}} 1.5}})
* 7 & 34 & 453 ({{nowrap|''n'' {{=}} {{frac|7|3}} {{=}} 2.333…}})
* 7 & 34 & 301 ({{nowrap|''n'' {{=}} {{frac|5|2}} {{=}} 2.5}})


[[Category:Tetracot]]
[[Category:Tetracot]]
[[Category:Equivalence continua]]
[[Category:Equivalence continua]]