TAMNAMS: Difference between revisions
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(Note that ''q'' in the above is a placeholder symbol meaning that the generator 21 is warted.) | (Note that ''q'' in the above is a placeholder symbol meaning that the generator 21 is warted.) | ||
Note therefore how practically a full range of tunings is covered both in breadth and depth. | Note therefore how practically a full range of tunings is covered both in breadth and depth.<!-- | ||
==== Dicoid (7L 3s) ==== | ==== Dicoid (7L 3s) ==== | ||
[[Dicot family#Dichotic|Dichotic]] is the 7&10 temerament in the 11-limit with commas including 25/24, 45/44, 55/54, 56/55, 64/63 and is an extension of the 5-limit exotemperament [[dicot]] which tempers 25/24, equating 5/4 and 6/5 into a neutral third sized interval, which is the generator. To help justify using these temperament for inspiration for the name, note that: | [[Dicot family#Dichotic|Dichotic]] is the 7&10 temerament in the 11-limit with commas including 25/24, 45/44, 55/54, 56/55, 64/63 and is an extension of the 5-limit exotemperament [[dicot]] which tempers 25/24, equating 5/4 and 6/5 into a neutral third sized interval, which is the generator. To help justify using these temperament for inspiration for the name, note that: | ||
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Its list of patent val EDO tunings is {{ val list | 7, 10, 17 }} with non-patent val tunings including 14cd(=7+7), 20e(=10+10), 24cd(=17+7), 27ce(=17+10). | Its list of patent val EDO tunings is {{ val list | 7, 10, 17 }} with non-patent val tunings including 14cd(=7+7), 20e(=10+10), 24cd(=17+7), 27ce(=17+10). | ||
Note there are many more warted tunings than this with even more extreme tunings, which makes it reasonable to associate the exotemperament with the range of vaguely saner tunings. | Note there are many more warted tunings than this with even more extreme tunings, which makes it reasonable to associate the exotemperament with the range of vaguely saner tunings. --> | ||
==== On the term ''diatonic'' ==== | ==== On the term ''diatonic'' ==== | ||
In TAMNAMS, ''diatonic'' exclusively refers to 5L 2s. Other diatonic-based scales (specifically with 3 step sizes or more), such as [[Zarlino]], [[blackdye]] and [[diasem]], are called ''[[Detempering|detempered]]'' (if the philosophy is [[RTT]]-based) or ''deregularized/detuned'' (RTT-agnostic) ''diatonic scales''. The adjectives ''diatonic-like'' or ''diatonic-based'' may also be used to refer to diatonic-based scales, depending on what's contextually the most appropriate. | In TAMNAMS, ''diatonic'' exclusively refers to 5L 2s. Other diatonic-based scales (specifically with 3 step sizes or more), such as [[Zarlino]], [[blackdye]] and [[diasem]], are called ''[[Detempering|detempered]]'' (if the philosophy is [[RTT]]-based) or ''deregularized/detuned'' (RTT-agnostic) ''diatonic scales''. The adjectives ''diatonic-like'' or ''diatonic-based'' may also be used to refer to diatonic-based scales, depending on what's contextually the most appropriate. | ||