15edo: Difference between revisions

Porcupine Notation (Heptatonic): Hope this phrasing makes more sense
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Porcupine Notation (Octatonic): Fixed some minor stuff
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Porcupine notation can also be based on the Porcupine[8] LLLLLLLs scale using eight nominals: α β χ δ ε φ γ η. Others have proposed ABCDEFGHA, but conflicts with European notation have caused many to reject this approach. Thus, Greek letters can be used in their place with a close resemblance to the spelling of ABCDEFGHA. The letters are not in greek alphabetic order.
Porcupine notation can also be based on the Porcupine[8] LLLLLLLs scale using eight nominals: α β χ δ ε φ γ η. Others have proposed ABCDEFGHA, but conflicts with European notation have caused many to reject this approach. Thus, Greek letters can be used in their place with a close resemblance to the spelling of ABCDEFGHA. The letters are not in greek alphabetic order.


The eight nominals form the base diatonic scale. In this sense, the "quill" is the name given to the two-edostep interval (160¢) of 15edo while the "small quill" (80¢) is the chroma of 15edo. This produces a very consistent notation for both porcupine[8] and Blackwood[10], moreso than putting 15edo into a 5L 2s framework. See the main [[Porcupine Notation|porcupine notation]] page.
The eight nominals form the base diatonic scale. In this sense, the "quill" is the name given to the two-edostep interval (160¢) of 15edo while the "small quill" (80¢) is the chroma of 15edo. This produces a very consistent notation for both Porcupine[8] and Blackwood[10], moreso than putting 15edo into a 5L 2s framework. See the main [[Porcupine Notation|porcupine notation]] page.
{| class="wikitable"
{| class="wikitable"
|-
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|-
|-
| | 80
| | 80
| | Half Quill / Small Quill
| | Small Quill / Half Quill
| | α - β\
| | α - β\
|-
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| | α - α
| | α - α
|}
|}
A regular keyboard can be designed using this system placing 7 black keys as Porcupine[7] and 8 whites as Porcupine[8], and in fact, [https://www.stephenweigelcomposerperformer.com/ Stephen Weigel] has already done this with his pink Halberstadt keyboard.
A regular keyboard can be designed using this system by placing 7 black keys as Porcupine[7] and 8 whites as Porcupine[8]. In fact, [https://www.stephenweigelcomposerperformer.com/ Stephen Weigel] has already done this with his pink Halberstadt keyboard.


== Regular temperament properties ==
== Regular temperament properties ==