User:BudjarnLambeth/Generalising equal divisions of the octave: Difference between revisions
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I have found myself confused trying to wrap my head around | {{Editable user page}} | ||
= Author note = | |||
I have found myself confused trying to wrap my head around IFDOs, arithmetic tunings, harmonotonic tunings and other related concepts. This is my attempt to summarise what I have understood from what I have read on the wiki. Especially what I have read in the articles [[harmonotonic tuning]], [[arithmetic tuning]], [[equal-step tuning]], [[AFDO]] and [[IFDO]]. | |||
Either here or in the discussion section, please correct any errors I have made. Please also mention any more types of equal-ish tuning that I haven’t yet mentioned here but really should be mentioned. | Either here or in the discussion section, please correct any errors I have made. Please also mention any more types of equal-ish tuning that I haven’t yet mentioned here but really should be mentioned. | ||
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I think that I am an ideal person to do this, because I ''am'' a beginner, so if I can write a page that even ''I'' can understand, then I think anyone will be able to understand it. | I think that I am an ideal person to do this, because I ''am'' a beginner, so if I can write a page that even ''I'' can understand, then I think anyone will be able to understand it. | ||
= The page itself = | |||
== EDO (equal divisions of the octave) == | == EDO (equal divisions of the octave) == | ||
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This means that an '''EDO''' could also be called an '''ED2/1''' or an ED2. So other names for 12edo include 12ed2/1 or 12ed2. | This means that an '''EDO''' could also be called an '''ED2/1''' or an ED2. So other names for 12edo include 12ed2/1 or 12ed2. | ||
You could use some other interval instead of the octave, though. For example you could divide the | You could use some other interval instead of the octave, though. For example you could divide the perfect twelfth (3/1) to make an '''ED3/1''', also known as [[ED3]] or EDT. Or you could divide the perfect fifth (3/2) to make an '''[[ED3/2]]''', also known as EDF. | ||
You can use any number you want here. You can have ED7, ED5/4, EDπ, EDϕ, etc. All of these represent some interval you can divide into equal pitch slices. | You can use any number you want here. You can have ED7, ED5/4, EDπ, EDϕ, etc. All of these represent some interval you can divide into equal pitch slices. | ||
Collectively, every EDn falls under the umbrella of '''[[equal-step tuning]]s'''. | Collectively, every EDn falls under the umbrella of '''[[equal-step tuning]]s'''. | ||
== EPDn (equal pitch divisions of n) == | == EPDn (equal pitch divisions of n) == | ||
So far we’ve been dividing the pitch space of our interval into equal slices. So another way you could say '''12EDO''' or 12ED2/1, is '''12EPDO''' or 12EPD2/1. Another way you could say 10ED5/4 is 10EPD5/4. | So far we’ve been dividing the pitch space of our interval into equal slices. So another way you could say '''12EDO''' or 12ED2/1, is '''12EPDO''' or 12EPD2/1. Another way you could say '''10ED5/4''' is '''10EPD5/4'''. | ||