Francium: +music

2026-02-04T12:24:18Z

+music

← Older revision		Revision as of 12:24, 4 February 2026
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	<nowiki>*</nowiki> [[Normal lists\|octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if it is distinct		<nowiki>*</nowiki> [[Normal lists\|octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if it is distinct

			== Music ==
			; [[Francium]]
			* "Applum" from ''Bumbos'' (2026) – [https://open.spotify.com/track/0O69x6OIFD5OFM0EJx2KO8 Spotify] \| [https://francium223.bandcamp.com/track/applum Bandcamp] \| [https://www.youtube.com/watch?v=wSNC4au8KOI YouTube] – in Pluto, 1987edo tuning

Francium: Created page with "{{Infobox ET}} {{ED intro}} == Theory == 1987edo is only consistent to the 3-limit, having a quite large error in all of its lower harmonics. Its harmonic 15 is an exception with a relative error of 0.8 percent. === Odd harmonics === {{Harmonics in equal|1987}} === Subsets and supersets === 1987edo is the 300th prime edo. 5961edo, which triples it, gives a good correction to its harmonic 5. == Regular temperament properties == {|..."

2025-12-24T16:42:37Z

Created page with "{{Infobox ET}} {{ED intro}} == Theory == 1987edo is only consistent to the 3-limit, having a quite large error in all of its lower harmonics. Its harmonic 15 is an exception with a relative error of 0.8 percent. === Odd harmonics === {{Harmonics in equal|1987}} === Subsets and supersets === 1987edo is the 300th prime edo. 5961edo, which triples it, gives a good correction to its harmonic 5. == Regular temperament properties == {|..."

New page

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

== Theory ==
1987edo is only [[consistent]] to the [[3-limit]], having a quite large error in all of its lower [[harmonic]]s. Its harmonic [[15/1|15]] is an exception with a relative error of 0.8 percent.

=== Odd harmonics ===
{{Harmonics in equal|1987}}

=== Subsets and supersets ===
1987edo is the 300th [[prime edo]]. [[5961edo]], which triples it, gives a good correction to its harmonic [[5/1|5]].

== Regular temperament properties ==
{| class="wikitable center-4 center-5 center-6"
! rowspan="2" |[[Subgroup]]
! rowspan="2" |[[Comma list|Comma List]]
! rowspan="2" |[[Mapping]]
! rowspan="2" |Optimal<br>8ve Stretch (¢)
! colspan="2" |Tuning Error
|-
![[TE error|Absolute]] (¢)
![[TE simple badness|Relative]] (%)
|-
| 2.3
| {{monzo|-3149 1987}}
| {{mapping|1987 3149}}
| 0.0611
| 0.0611
| 10.12
|}

=== Rank-2 temperaments ===
{| class="wikitable center-all left-5"
|+Table of rank-2 temperaments by generator
! Periods<br>per 8ve
! Generator*
! Cents*
! Associated<br>Ratio*
! Temperaments
|-
| 1
| 522\1987
| 315.249
| 6/5
| [[Parakleismic]]
|}

<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct

User:Francium/1987edo - Revision history

Francium: +music