Talk:Radical interval: Difference between revisions
Cmloegcmluin (talk | contribs) Created page with "Would it be possible to give an example of an eigenmonzo in use? As a non-mathematician I can't make sense of this page, but I see eigenmonzos talked about and shared all the..." |
Attempt to explain in natural language what the point of a fractional monzo is. |
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Would it be possible to give an example of an eigenmonzo in use? As a non-mathematician I can't make sense of this page, but I see eigenmonzos talked about and shared all the time and I would like to not be left out :) --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 18:54, 16 April 2021 (UTC) | Would it be possible to give an example of an eigenmonzo in use? As a non-mathematician I can't make sense of this page, but I see eigenmonzos talked about and shared all the time and I would like to not be left out :) --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 18:54, 16 April 2021 (UTC) | ||
The main use of these is to represent complex numbers to infinite precision in a smaller space than typing out an endless sequence of nonrepeating digits after the decimal place. A simple example would be demonstrating the difference between 1/3 comma meantone and 19edo. 1/3 comma meantone takes three generators to reach 10/3, which means the fifth's eigenmonzo is |1/3 -1/3 1/3>. (2x5/3)^(1/3) Meanwhile 19edo's 5th has an eigenmonzo of |11/19>, as it's a simple fraction of a power of 2. --[[User:Yourmusic Productions|Yourmusic Productions]] ([[User talk:Yourmusic Productions|talk]]) 19:31, 16 April 2021 (UTC) | |||