Xenharmonic Wiki

1400edo: Difference between revisions

VisualWikitext
Eliora (talk | contribs)
autopatrolled, emailconfirmed
3,387 edits
Created page with "{{Infobox ET}} {{EDO intro|1400}} 1400edo is good at the 2.3.19.23.29.31 subgroup. It provides the optimal patent val for the 5-limit vishnuzmic temperament. It..."
 
 
(22 intermediate revisions by 5 users not shown)
Line 1: Line 1:
{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|1400}}
{{ED intro}}
 
== Theory ==
1400edo is only [[consistent]] in the [[5-odd-limit]], where it provides the [[optimal patent val]] for the 5-limit [[vishnu]] temperament. Aside from that it is poor at simple harmony. In the higher limits, it is good at the 2.3.19.23.29.31 subgroup. It also tempers out the [[barium comma]] and the [[linus comma]] using the patent val.
 
Aside from the patent val, there is a number of mappings to be considered. 1400cd val uses the 28edo mapping for 5 and gives a tuning close to the [[POTE]] tuning for the 11-limit [[oquatonic]] temperament. 1400ccdd val is a tuning for the 11-limit [[silicon]] temperament. It is worth noting, patent val can be considered a tuning for the 2.3.11 subgroup silicon - for which it conveniently provides a 70-tone mos reaching [[3/2]] in 1 generator up and [[11/8]] in 3 generators down. 1400bbbc val is a tuning for the [[manganese]] temperament.


1400edo is good at the 2.3.19.23.29.31 subgroup. It provides the optimal patent val for the 5-limit [[vishnuzma|vishnuzmic]] temperament. It also tempers out the [[linus]] comma and the [[barium comma]].
=== Prime harmonics ===
=== Prime harmonics ===
{{harmonics in equal|1400}}
{{Harmonics in equal|1400}}
 
=== Subsets and supersets ===
1400edo has subset edos {{EDOs| 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 140, 175, 200, 280, 350, 700 }}. One step of 1400edo is the relative cent for 14edo.
 
== Regular temperament properties ==
{| class="wikitable center-all left-5"
|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator
|-
! Periods<br>per 8ve
! Generator*
! Cents*
! Associated<br>ratio*
! Temperaments
|-
| 2
| 83\1400
| 71.143
| 25/24
| [[Vishnu]] (5-limit)
|-
| 8
| 86\1400
| 73.714
| 24/23
| [[Octium]] (2.3.19.23.29.31)
|-
| 14
| 581\1400<br>(81\1400)
| 498.000<br>(69.429)
| 4/3<br>(?)
| [[Silicon]] (2.3.11)
|-
| 28
| 581\1400<br>(31\1400)
| 498.000<br>(26.571)
| 4/3<br>(126/125)
| [[Oquatonic]] (1400cd)
|-
| 56
| 581\1400<br>(6\1400)
| 498.000<br>(5.143)
| 4/3<br>(126/125)
| [[Barium]]
|}
<nowiki/>* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct
 
== Scales ==
* Silicon[70]: (19 24 19 19 19)×14
 
== Music ==
; [[Mercury Amalgam]]
* [https://www.youtube.com/watch?v=o9aAB4csKBQ ''Apple In Your Mouth''] – Silicon[70], Oxygen[24], Magnesium[175], Vishnu[34]
 
[[Category:Vishnu]]
[[Category:Listen]]
Retrieved from "https://en.xen.wiki/w/1400edo"