Monzo: Difference between revisions

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Vals can be defined the same way in other subgroups as well; they represent how a subgroup is (viewed as being) tuned in terms of that edo's steps. For example, [[13edo]]'s "2.9.5 [[patent val]]" can be written as {{val|2: 13, 9: 41, 5: 30}}. To see that this val "tempers out [[81/80]]", we do the same operation (of matching up and multiplying the components and summing the products) as described in the previous section:
Vals can be defined the same way in other subgroups as well; they represent how a subgroup is (viewed as being) tuned in terms of that edo's steps. For example, [[13edo]]'s "2.9.5 [[patent val]]" can be written as {{val|2: 13, 9: 41, 5: 30}}. To see that this val "tempers out [[81/80]]", we do the same operation (of matching up and multiplying the components and summing the products) as described in the previous section:


  <span class="val"><span class="left-delim">&#x27E8;</span>{{trim| 2: 13, 9: 41, 5: 30 }}<span class="right-delim">&#93;</span></span><span class="monzo"><span class="left-delim">&#91;</span>{{trim| 2: -4, 9: 2, 5: -1 }}<span class="right-delim">&#x27E9;</span></span> = 13*-4 + 41*2 + 30*-1 = 0.
  &#x27E8;2: 13, 9: 41, 5: 30&#93;&#91;2: -4, 9: 2, 5: -1&#x27E9; = 13*-4 + 41*2 + 30*-1 = 0.


== Monzos in temperaments ==
== Monzos in temperaments ==