Sharpness: Difference between revisions

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For example, 12, 17, and 22 are all pentasharp-1 edos, and 19 and 24 are both pentasharp-2 edos. A pentasharp-0 edo (5, 10, 15, etc.) is also known as a "pentatonic edo".

Using heptatonic fifth-generated notation with a penta-flat edo (e.g. 8, 13, or 18) has counter-intuitive results. The minor 2nd is descending, the major 2nd is wider than the minor 3rd, the 4th is narrower than the major 3rd, etc. One solution is to use the second best 5th, e.g. 13b or 18b.

Using heptatonic fifth-generated notation with a penta-flat edo (e.g. 8, 13, or 18) has counter-intuitive results. The minor 2nd is descending, the major 2nd is wider than the minor 3rd, the 4th is narrower than the major 3rd, etc. One solution is to use the second best 5th, e.g. 13b or 18b. The notation for [[5L 3s]] could also be used.

Below is a table showing each edo up to 72, with sharpness increasing top to bottom and penta-sharpness increasing left to right. The sharp-0 edos and the pentasharp-0 edos are '''bolded'''. [[Dual-fifth]] edos fit for [[subset notation]] are in ''italic''.

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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 13: / Line 13: @@
 For example, 12, 17, and 22 are all pentasharp-1 edos, and 19 and 24 are both pentasharp-2 edos. A pentasharp-0 edo (5, 10, 15, etc.) is also known as a "pentatonic edo".
-Using heptatonic fifth-generated notation with a penta-flat edo (e.g. 8, 13, or 18) has counter-intuitive results. The minor 2nd is descending, the major 2nd is wider than the minor 3rd, the 4th is narrower than the major 3rd, etc. One solution is to use the second best 5th, e.g. 13b or 18b.
+Using heptatonic fifth-generated notation with a penta-flat edo (e.g. 8, 13, or 18) has counter-intuitive results. The minor 2nd is descending, the major 2nd is wider than the minor 3rd, the 4th is narrower than the major 3rd, etc. One solution is to use the second best 5th, e.g. 13b or 18b. The notation for [[5L 3s]] could also be used.
 Below is a table showing each edo up to 72, with sharpness increasing top to bottom and penta-sharpness increasing left to right. The sharp-0 edos and the pentasharp-0 edos are '''bolded'''. [[Dual-fifth]] edos fit for [[subset notation]] are in ''italic''.
@@ 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]]

Sharpness: Difference between revisions

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