Langwidge: Difference between revisions
this and three last edits: per FloraC's and Kite's recommendation, 12 & 187g is langwidge (need to keep P5 as 3/2) |
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In this case, the temperament's generator is [[3/2]], 9 of which yield [[38/1]], meaning [[19/16]] is mapped to C-D#. This means, when octave-reduced, this would require spelling the 16:19:24 triad as C-D#-E and not as C-Eb-E, producing this peculiar violation of standard Western music theory. | In this case, the temperament's generator is [[3/2]], 9 of which yield [[38/1]], meaning [[19/16]] is mapped to C-D#. This means, when octave-reduced, this would require spelling the 16:19:24 triad as C-D#-E and not as C-Eb-E, producing this peculiar violation of standard Western music theory. | ||
In the 5-limit, The [[schismic]] temperament is similar, in which the 10:12:15 minor triad is spelled as C-D#-E. | |||
See also [[protolangwidge]]. | See also [[protolangwidge]]. | ||
Revision as of 08:23, 16 November 2023
Langwidge is a rank-2 temperament whose generator is a perfect fifth, and it is constructed with purpose of spelling the minor triad wrong, as C-D#-E instead of C-Eb-E.
The name "langwidge" originates from Adam Neely's video "Is Cb The Same Note as B?", where he mentions that there's "nothing technically incorrect about spelling the word language as "langwidge", but word structure-wise the information is different[1] because it's not spelled right. In addition, he goes on to mention about how the "order of spelling in Western music theory is sacrosanct".
In this case, the temperament's generator is 3/2, 9 of which yield 38/1, meaning 19/16 is mapped to C-D#. This means, when octave-reduced, this would require spelling the 16:19:24 triad as C-D#-E and not as C-Eb-E, producing this peculiar violation of standard Western music theory.
In the 5-limit, The schismic temperament is similar, in which the 10:12:15 minor triad is spelled as C-D#-E.
See also protolangwidge.
Temperament data
Subgroup: 2.3.17.19
Comma list: 6144/6137, 19683/19456
Sval mapping: [⟨1 0 31 -10], ⟨0 1 -17 9]]
- sval mapping generators: ~2, ~3
Optimal tuning (CTE): ~3/2 = 699.752
Supporting ETs: 12, 187g, 199g, 211g, 233, 235, 247, ...
References
- ↑ Is Cb the same note as B? by Adam Neely