19ed18/5: Difference between revisions

Eliora (talk | contribs)
Created page with "{{Infobox ET}} {{subst:EDO intro|19}} == Theory == 19ed18/5 is most notable for the fact that its one step is equal to the secor interval by, definition. If considered..."
 
Eliora (talk | contribs)
No edit summary
Line 1: Line 1:
{{Infobox ET}}
{{Infobox ET}}


{{#invoke:EDO_intro|edo_intro_frame
'''19 equal divisions of the [[18/5]]''' (abbreviated '''19ed18/5'''), when viewed under a regular temperament perspective, is the tuning system that divides the 18/5 interval into 19 equal parts of about 116.7 ¢ each. Each step of 19ed18/5 represents a frequency ratio of (18/5)<sup>1/19</sup>, or the 19th root of 18/5.
|EDO=19
}}


19ed18/5 is most notable for the fact that its one step is defined as '''[[secor]]'''.
== Theory ==
== Theory ==
19ed18/5 is most notable for the fact that its one step is equal to the [[secor]] interval by, definition.
If considered in its own right, the regular temperament has good approximations for harmonics [[5/1|5]], [[7/1|7]], [[8/1|8]], and [[12/1|12]], all being sharp by roughly the same amount, therefore making the 18/5.5.7.8.12 subgroup the best for this tuning. There, it tempers out [[81/80]], [[126/125]], [[225/224]], [[1728/1715]], [[5103/5000]].
If considered in its own right, the regular temperament has good approximations for harmonics [[5/1|5]], [[7/1|7]], [[8/1|8]], and [[12/1|12]], all being sharp by roughly the same amount, therefore making the 18/5.5.7.8.12 subgroup the best for this tuning. There, it tempers out [[81/80]], [[126/125]], [[225/224]], [[1728/1715]], [[5103/5000]].