TAMNAMS: Difference between revisions

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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 an attempt at a system of temperament-agnostic names for octave-MOS scales and their associated generator ranges, taking into account the relative sizes of large and small steps.

== Step ratio spectrum ==

=== Simple step ratios ===

The TAMNAMS system names nine specific simple L:s ratios. These correspond to the simplest edos that have the MOS scale.

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The two extremes, equalized and paucitonic, are degenerate cases. An equalized MOS has L equal to s, so the MOS pattern is no longer apparent. A paucitonic MOS has s = 0, merging adjacent tones s apart into a single tone. In both cases, the MOS structure is no longer valid.

=== Step ratio ranges ===

In between the nine specific ratios there are eight ranges of ratios. Each range has a name. These names are useful for classifying MOS tunings which don't match any of the nine simple step ratios. ''Hypohard'' could be used for tunings that are harder than basic but not as hard as the 3:1 tuning; similarly, ''hyposoft'' can be used for the range between soft and basic. Note that the soft-of-basic range is always strictly proper while the hard-of-basic range is often improper but is always proper in the case that there is 1 small step per period in the MOS pattern.

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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 an attempt at a system of temperament-agnostic names for octave-MOS scales and their associated generator ranges, taking into account the relative sizes of large and small steps.
 == Step ratio spectrum ==
+=== Simple step ratios ===
 The TAMNAMS system names nine specific simple L:s ratios. These correspond to the simplest edos that have the MOS scale.
 {| class="wikitable"
@@ Line 47: / Line 48: @@
 The two extremes, equalized and paucitonic, are degenerate cases. An equalized MOS has L equal to s, so the MOS pattern is no longer apparent. A paucitonic MOS has s = 0, merging adjacent tones s apart into a single tone. In both cases, the MOS structure is no longer valid.
+=== Step ratio ranges ===
 In between the nine specific ratios there are eight ranges of ratios. Each range has a name. These names are useful for classifying MOS tunings which don't match any of the nine simple step ratios. ''Hypohard'' could be used for tunings that are harder than basic but not as hard as the 3:1 tuning; similarly, ''hyposoft'' can be used for the range between soft and basic. Note that the soft-of-basic range is always strictly proper while the hard-of-basic range is often improper but is always proper in the case that there is 1 small step per period in the MOS pattern.