FloraC: Fix a link

2025-02-22T07:19:32Z

Fix a link

← Older revision		Revision as of 07:19, 22 February 2025
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	{{ED intro}}		{{ED intro}}

	33616edo is [[consistency\|distinctly consistent]] to the [[39-odd-limit]]. Doubling the monstrous [[16808edo]], it corrects the approximated [[37/1\|37th]] [[harmonic]] to near-just quality while maintaining the same tuning in the lower limits. Unfortunately, harmonic [[41/1\|41]] is now tuned too off to be consistent, but on the plus side, [[43/1\|43]] and [[47/1\|47]] are tuned way better. In fact, it is excellent in the no-41 [[51-odd-limit]], and the full [[47-limit]] interpretation using the [[patent val]] is also obvious, as [[41/40]], [[41/25]], [[41/29]] and their [[octave ~~complements~~]] exhaust all the inconsistently mapped intervals in the full 51-odd-limit.		33616edo is [[consistency\|distinctly consistent]] to the [[39-odd-limit]]. Doubling the monstrous [[16808edo]], it corrects the approximated [[37/1\|37th]] [[harmonic]] to near-just quality while maintaining the same tuning in the lower limits. Unfortunately, harmonic [[41/1\|41]] is now tuned too off to be consistent, but on the plus side, [[43/1\|43]] and [[47/1\|47]] are tuned way better. In fact, it is excellent in the no-41 [[51-odd-limit]], and the full [[47-limit]] interpretation using the [[patent val]] is also obvious, as [[41/40]], [[41/25]], [[41/29]] and their [[octave complement]]s exhaust all the inconsistently mapped intervals in the full 51-odd-limit.

	=== Prime harmonics ===		=== Prime harmonics ===

FloraC: Created page with "{{Infobox ET}} {{ED intro}} 33616edo is distinctly consistent to the 39-odd-limit. Doubling the monstrous 16808edo, it corrects the approximated 37/..."

2025-02-21T12:41:25Z

Created page with "{{Infobox ET}} {{ED intro}} 33616edo is distinctly consistent to the 39-odd-limit. Doubling the monstrous 16808edo, it corrects the approximated 37/..."

New page

{{Infobox ET}}
{{ED intro}}

33616edo is [[consistency|distinctly consistent]] to the [[39-odd-limit]]. Doubling the monstrous [[16808edo]], it corrects the approximated [[37/1|37th]] [[harmonic]] to near-just quality while maintaining the same tuning in the lower limits. Unfortunately, harmonic [[41/1|41]] is now tuned too off to be consistent, but on the plus side, [[43/1|43]] and [[47/1|47]] are tuned way better. In fact, it is excellent in the no-41 [[51-odd-limit]], and the full [[47-limit]] interpretation using the [[patent val]] is also obvious, as [[41/40]], [[41/25]], [[41/29]] and their [[octave complements]] exhaust all the inconsistently mapped intervals in the full 51-odd-limit.

=== Prime harmonics ===
{{Harmonics in equal|33616|prec=5|columns=9}}
{{Harmonics in equal|33616|prec=5|columns=9|start=10|collapsed=true|title=Approximation of prime harmonics in 33616edo (continued)}}

=== Subsets and supersets ===
Since 33616 factors into primes as {{nowrap| 2<sup>4</sup> × 11 × 191 }}, 33616edo has subset edos 2, 4, 8, 11, 16, 22, 44, 88, 176, 191, 382, 764, 1528, 2101, 3056, 4202, 8404, and 16808.

33616edo - Revision history

FloraC: Fix a link

FloraC: Created page with "{{Infobox ET}} {{ED intro}} 33616edo is distinctly consistent to the 39-odd-limit. Doubling the monstrous 16808edo, it corrects the approximated 37/..."