Lehmerismic temperaments: Difference between revisions

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* ''[[Spectacle]]'' (+225/224 or 243/242) → [[Rastmic rank-3 clan #Spectacle|Rastmic rank-3 clan]]

* ''[[Portent]]'' (+385/384 or 441/440) → [[Gamelismic family #Portent|Gamelismic family]]

* ''[[Indra]]'' (+540/539) → [[~~Mirkwai family~~ #Indra|~~Mirkwai family~~]]

* ''[[Indra]]'' (+540/539) → [[Swetismic temperaments #Indra|Swetismic temperaments]]

* ''[[Tolerant]]'' (+896/891) → [[Pentacircle clan #Tolerant|Pentacircle clan]]

* ''[[Freya]]'' (+2401/2400) → [[Breed family #Freya|Breed family]]

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* ''[[Thor]]'' (+4375/4374) → [[Ragismic family #Thor|Ragismic family]]

* ''[[Kapo]]'' (+5120/5103) → [[Hemifamity family #Kapo|Hemifamity family]]

* ''[[Tyr]]'' (+102487/102400) → [[Landscape family #Tyr|Landscape family]]

Considered below are skadi, ganesha, hanuman, lux, and galaxy, in the order of increasing badness. For the rank-4 temperament, see [[Rank-4 temperament #Lehmerismic (3025/3024)]].

Considered below are skadi, ganesha, hanuman, lux, and galaxy, in the order of increasing [[badness]]. For the rank-4 temperament, see [[Rank-4 temperament #Lehmerismic (3025/3024)]].

== Skadi ==

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== Lux ==

The last generator of lux, represented by 55/48, exceeds 8/7 by 385/384, which is equated with a number of important superparticular ~~ratios~~ in the 13-limit: 325/324, 352/351, 364/363, and 441/440.

The last generator of lux, represented by [[55/48]], exceeds [[8/7]] by [[385/384]], which is equated with a number of important [[superparticular ratio]]s in the [[13-limit]]: [[325/324]], [[352/351]], [[364/363]], and [[441/440]].

This ultra-efficient full 13-limit temperament was first considered by [[Flora Canou]] in 2021. After a few attempts to come up with a memorable name, ''lux'', suggested by [[Godtone]], who associated certain intervals of 13 with light, was adopted.

[[Subgroup]]: 2.3.5.7.11

@@ Line 7: / Line 7: @@
 * ''[[Spectacle]]'' (+225/224 or 243/242) → [[Rastmic rank-3 clan #Spectacle|Rastmic rank-3 clan]]
 * ''[[Portent]]'' (+385/384 or 441/440) → [[Gamelismic family #Portent|Gamelismic family]]
-* ''[[Indra]]'' (+540/539) → [[Mirkwai family #Indra|Mirkwai family]]
+* ''[[Indra]]'' (+540/539) → [[Swetismic temperaments #Indra|Swetismic temperaments]]
 * ''[[Tolerant]]'' (+896/891) → [[Pentacircle clan #Tolerant|Pentacircle clan]]
 * ''[[Freya]]'' (+2401/2400) → [[Breed family #Freya|Breed family]]
@@ Line 13: / Line 13: @@
 * ''[[Thor]]'' (+4375/4374) → [[Ragismic family #Thor|Ragismic family]]
 * ''[[Kapo]]'' (+5120/5103) → [[Hemifamity family #Kapo|Hemifamity family]]
+* ''[[Tyr]]'' (+102487/102400) → [[Landscape family #Tyr|Landscape family]]
-Considered below are skadi, ganesha, hanuman, lux, and galaxy, in the order of increasing badness. For the rank-4 temperament, see [[Rank-4 temperament #Lehmerismic (3025/3024)]].
+Considered below are skadi, ganesha, hanuman, lux, and galaxy, in the order of increasing [[badness]]. For the rank-4 temperament, see [[Rank-4 temperament #Lehmerismic (3025/3024)]].
 == Skadi ==
@@ Line 87: / Line 88: @@
 == Lux ==
-The last generator of lux, represented by 55/48, exceeds 8/7 by 385/384, which is equated with a number of important superparticular ratios in the 13-limit: 325/324, 352/351, 364/363, and 441/440.
+The last generator of lux, represented by [[55/48]], exceeds [[8/7]] by [[385/384]], which is equated with a number of important [[superparticular ratio]]s in the [[13-limit]]: [[325/324]], [[352/351]], [[364/363]], and [[441/440]].
+This ultra-efficient full 13-limit temperament was first considered by [[Flora Canou]] in 2021. After a few attempts to come up with a memorable name, ''lux'', suggested by [[Godtone]], who associated certain intervals of 13 with light, was adopted.
 [[Subgroup]]: 2.3.5.7.11