Sharpness: Difference between revisions

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=== Further generalizations ===

The concept of sharpness can be generalized further to '''dodeca-sharpness''', which is the number of edosteps that the pythagorean comma maps to. For example, 17, 29 and 41 are dodeca-sharp-1 edos, while 19, 31 and 43 are dodeca-flat-1 edos.

The concept of sharpness can be generalized further to '''dodeca-sharpness''', which is the number of edosteps that the pythagorean comma maps to. For example, 17, 29, and 41 are dodeca-sharp-1 edos, while 19, 31, and 43 are dodeca-flat-1 edos.

The concept can be generalized even further to 17fold-sharpness, 19fold-sharpness, etc.

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* [http://tallkite.com/misc_files/notation%20guide%20for%20edos%205-72.pdf Notation Guide to EDOs 5-72]: (paper by [[Kite Giedraitis]] introducing the concept)

* [https://github.com/euwbah/musescore-microtonal-edo-plugin n-EDO Retuner plugin for Musescore 3.4+]: uses sharpness to categorize EDOs for retuning

* [https://sagittal.org/~~Periodic%20table%20of%20small%20EDOs%20large.png~~ Sagittal notation's Periodic Table of EDOs]: arranges EDOs by their sharpness ({{nbhsp}}{{sagittal| # }} = ) and penta-sharpness or limmanosity (EF = )

* [https://sagittal.org/#periodic-table Sagittal notation's Periodic Table of EDOs]: arranges EDOs by their sharpness ({{nbhsp}}{{sagittal| # }} = ) and penta-sharpness or limmanosity (EF = )

[[Category:EDO theory pages]]

@@ Line 66: / Line 66: @@
 === Further generalizations ===
-The concept of sharpness can be generalized further to '''dodeca-sharpness''', which is the number of edosteps that the pythagorean comma maps to. For example, 17, 29 and 41 are dodeca-sharp-1 edos, while 19, 31 and 43 are dodeca-flat-1 edos.
+The concept of sharpness can be generalized further to '''dodeca-sharpness''', which is the number of edosteps that the pythagorean comma maps to. For example, 17, 29, and 41 are dodeca-sharp-1 edos, while 19, 31, and 43 are dodeca-flat-1 edos.
 The concept can be generalized even further to 17fold-sharpness, 19fold-sharpness, etc.
@@ Line 78: / Line 78: @@
 * [http://tallkite.com/misc_files/notation%20guide%20for%20edos%205-72.pdf Notation Guide to EDOs 5-72]: (paper by [[Kite Giedraitis]] introducing the concept)
 * [https://github.com/euwbah/musescore-microtonal-edo-plugin n-EDO Retuner plugin for Musescore 3.4+]: uses sharpness to categorize EDOs for retuning
-* [https://sagittal.org/Periodic%20table%20of%20small%20EDOs%20large.png Sagittal notation's Periodic Table of EDOs]: arranges EDOs by their sharpness ({{nbhsp}}{{sagittal| # }} = ) and penta-sharpness or limmanosity (EF = )
+* [https://sagittal.org/#periodic-table Sagittal notation's Periodic Table of EDOs]: arranges EDOs by their sharpness ({{nbhsp}}{{sagittal| # }} = ) and penta-sharpness or limmanosity (EF = )
 [[Category:EDO theory pages]]