TAMNAMS: Difference between revisions

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fixed the redirects/links for the MOS template to work; please do not change until template is also changed to reflect the change
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'''TAMNAMS''' (read "tame names"; from '''''T'''emperament-'''A'''gnostic '''M'''os '''NAM'''ing '''S'''ystem''), devised by the XA Discord, is a system of temperament-agnostic names for small octave-[[mos]] scales, their intervals and their associated generator ranges, taking into account the relative sizes of large and small steps.
'''TAMNAMS''' (read "tame names"; from '''''T'''emperament-'''A'''gnostic '''M'''os '''NAM'''ing '''S'''ystem''), devised by the XA Discord, is a system of temperament-agnostic names for small octave-[[mos]] scales, their intervals and their associated generator ranges, taking into account the relative sizes of large and small steps.


== Mos step ratio spectrum ==
== Step ratio spectrum ==
=== Simple step ratios ===
=== Simple step ratios ===
The TAMNAMS system names nine specific simple [[Blackwood's R|L:s ratios]]. These correspond to the simplest edos that have the mos scale.
The TAMNAMS system names nine specific simple [[Blackwood's R|L:s ratios]]. These correspond to the simplest edos that have the mos scale.
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'''Paucitonic''': L/s = 1/0 = infinity (trivial/pathological)
'''Paucitonic''': L/s = 1/0 = infinity (trivial/pathological)


== Naming mos intervals ==
== Naming MOS intervals ==
To denote interval classes within the mos, TAMNAMS uses the generic prefix ''mos-'', or the specific prefixes and abbreviations listed under ''mos pattern names''. One might be tempted to  
To denote interval classes within the mos, TAMNAMS uses the generic prefix ''mos-'', or the specific prefixes and abbreviations listed under ''mos pattern names''. One might be tempted to  
generalize diatonic 1-indexed ordinal names: ''In 31edo's ultrasoft [[mosh]] scale, the perfect mosthird (aka Pmosh3rd) is a neutral third and the major mosfifth (aka Lmosh5th) is a perfect fifth.''
generalize diatonic 1-indexed ordinal names: ''In 31edo's ultrasoft [[mosh]] scale, the perfect mosthird (aka Pmosh3rd) is a neutral third and the major mosfifth (aka Lmosh5th) is a perfect fifth.''
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* The pattern continues, ddd for triply diminished and AAA for triply augmented. Note that applying this operation more than 3 times is an unlikely usecase, and a shorthand notaton of d^3 and A^3 or an alternative notation or terminology entirely would likely be preferable in such circumstances, hence repetition of the corresponding letter is a sufficient system.
* The pattern continues, ddd for triply diminished and AAA for triply augmented. Note that applying this operation more than 3 times is an unlikely usecase, and a shorthand notaton of d^3 and A^3 or an alternative notation or terminology entirely would likely be preferable in such circumstances, hence repetition of the corresponding letter is a sufficient system.


== Mos pattern names ==
== MOS pattern names ==
The following names are suggested for selected small mosses. These names are optional; interval size names and step ratio names can be combined with conventional ''xL ys'' names. For example: ''21edo is the soft [[5L 3s]] tuning and its major mosthird is a neutral third of size 342.9 cents.'' (Pattern names are the least important part of TAMNAMS.)
The following names are suggested for selected small mosses. These names are optional; interval size names and step ratio names can be combined with conventional ''xL ys'' names. For example: ''21edo is the soft [[5L 3s]] tuning and its major mosthird is a neutral third of size 342.9 cents.'' (Pattern names are the least important part of TAMNAMS.)