19ed18/5 - Revision history

MisterShafXen at 22:46, 23 December 2024

2024-12-23T22:46:38Z

← Older revision		Revision as of 22:46, 23 December 2024
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	19ed18/5 is most notable for the fact that its one step is defined as '''[[secor]]'''.		19ed18/5 is most notable for the fact that its one step is defined as '''[[secor]]'''.

			== Intervals ==
			{{Interval table}}

	== Theory ==		== Theory ==
	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]].

Eliora at 23:03, 1 February 2024

2024-02-01T23:03:14Z

← Older revision		Revision as of 23:03, 1 February 2024
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]].

Eliora: 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..."

2024-02-01T23:00:58Z

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..."

New page

{{Infobox ET}}

{{#invoke:EDO_intro|edo_intro_frame
|EDO=19
}}

== 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]].

=== Integer harmonics ===

{{harmonics in equal|19|18|5}}

== See also ==
* [[Secor]]