Rhodium: Difference between revisions
Created page with "Rhodium is a rank-2 temperament which splits the octave into 45 parts and has a generator that is mapped to 55/32. It is named after the 45th element. ==Theory== From a cl..." |
No edit summary |
||
| Line 1: | Line 1: | ||
Rhodium is a rank-2 temperament which splits the octave into 45 parts and has a generator that is mapped to [[55/32]]. It is named after the 45th element. | Rhodium is a rank-2 temperament which splits the octave into 45 parts and has a generator that is mapped to [[55/32]]. It is named after the 45th element. | ||
For technical data see: [[Ragismic microtemperaments#Rhodium]] | |||
==Theory== | ==Theory== | ||
From a classical regular temperament theory perspective, rhodium is just an extension of the [[ennealimmal temperament]], and respectively has the same mappings for the 9edo subset - [[27/25]] for 1\9, [[7/6]] for 2\9, [[63/50]] for third-octave and [[49/36]] for 4\9. | From a classical regular temperament theory perspective, rhodium is just an extension of the [[ennealimmal temperament]], and respectively has the same mappings for the 9edo subset - [[27/25]] for 1\9, [[7/6]] for 2\9, [[63/50]] for third-octave and [[49/36]] for 4\9. | ||
Revision as of 19:56, 28 February 2023
Rhodium is a rank-2 temperament which splits the octave into 45 parts and has a generator that is mapped to 55/32. It is named after the 45th element.
For technical data see: Ragismic microtemperaments#Rhodium
Theory
From a classical regular temperament theory perspective, rhodium is just an extension of the ennealimmal temperament, and respectively has the same mappings for the 9edo subset - 27/25 for 1\9, 7/6 for 2\9, 63/50 for third-octave and 49/36 for 4\9.
However, it also provides a mapping of the Alpharabian quarter-tone 33/32 to 2\45 and thereby also tempers out the quartisma. Since rhodium tempers out 4225/4224, a single period is mapped to an interval that stands both for ~66/65 and ~65/64 and two of them make 33/32, and ten thus make 7/6.