3L 5s: Difference between revisions
ArrowHead294 (talk | contribs) mNo edit summary |
Adopt template: MOS data and cleanup |
||
| Line 8: | Line 8: | ||
| Pattern = LsLssLss | | Pattern = LsLssLss | ||
}} | }} | ||
{{MOS intro|Other Names=anti-oneirotonic}} | |||
== Name == | == Name == | ||
[[TAMNAMS]] suggests the temperament-agnostic name '''checkertonic''' for this scale. | [[TAMNAMS]] suggests the temperament-agnostic name '''checkertonic''' for this scale. | ||
== | == Scale properties == | ||
{{TAMNAMS use}} | {{TAMNAMS use}} | ||
{{MOS | {{MOS data}} | ||
==== Proposed mode names ==== | |||
The modes of checkertonic can be named after its sister mos [[5L 3s]] (oneirotonic). [[User:R-4981|R-4981]] has also proposed names based on {{w|grand chess}} pieces. | |||
{{MOS modes|Table Headers=Anti-modes of 5L 3s;Grand chess names<sup>[proposed]</sup>|Table Entries=Anti-Sarnathian (sar-NA(H)TH-iən); | {{MOS modes|Table Headers=Anti-modes of 5L 3s;Grand chess names<sup>[proposed]</sup>|Table Entries=Anti-Sarnathian (sar-NA(H)TH-iən); | ||
King; | King; | ||
| Line 202: | Line 175: | ||
| (J) | | (J) | ||
|} | |} | ||
== Notation == | |||
The [[TAMNAMS]] system is used in this article to refer to {{PAGENAME}} step size ratios and step ratio ranges. | |||
The notation used in this article is JKLMNOPQJ = sLssLsLs (Anti-Ultharian), &/@ = up/down by chroma. | |||
== Theory == | |||
In contrast to oneirotonic ([[5L 3s]]), which often require the usage of completely new chords to have consonant-sounding music, some checkertonic scales contain approximations to a perfect fifth ([[3/2]], usually as a dim. chk6th or maj. chk5th), and thus can be used for traditional root-3rd-P5 harmony. | |||
=== Low harmonic entropy scales === | |||
There are two significant harmonic entropy minima with this MOS pattern: | |||
* [[Sensipent family|Sensi]], in which the generator is a 9/7, two of them make a 5/3, and seven of them make a 3/2, which is proper. | |||
* [[Meantone family #Squares|Squares]], in which the generator is also a 9/7, but two of them make an 18/11 and four of them make a 4/3, which is improper. | |||
== Tuning ranges == | |||
=== Simple tunings === | |||
{{MOS tunings}} | |||
=== Parasoft tunings === | |||
Parasoft tunings (step ratios 4:3 to 3:2) are associated with [[sensi]] tempermament. | |||
{{MOS tunings|Step Ratios=Parasoft|JI Ratios=Subgroup: 2.3.5.7.13; Int Limit: 50; Tenney Height: 8; Complements Only: 1|Tolerance=10}} | |||
== Temperaments == | == Temperaments == | ||
| Line 209: | Line 205: | ||
== Music == | == Music == | ||
; [[Uncreative Name]] | |||
* [https://www.youtube.com/watch?v=XZ3zB3EDKOM ''The Nachtlandian Somersault''] (19edo) | |||
== Scale tree == | == Scale tree == | ||
| Line 215: | Line 212: | ||
* Chroma-positive generator: 750 cents (5\8) to 800 cents (2\3) | * Chroma-positive generator: 750 cents (5\8) to 800 cents (2\3) | ||
* Chroma-negative generator: 400 cents (1\3) to 450 cents (3\8) | * Chroma-negative generator: 400 cents (1\3) to 450 cents (3\8) | ||
{{Scale tree|Comments= | {{Scale tree|Comments= | ||
7/5: [[Sensi]] (optimal around here); | 7/5: [[Sensi]] (optimal around here); | ||
| Line 225: | Line 221: | ||
6/1: [[Roman]]↓, [[hocus]]↓; | 6/1: [[Roman]]↓, [[hocus]]↓; | ||
}} | }} | ||