Spiral tunings: Difference between revisions

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Spiral tuning systems encompass the diverse configurations of a spiral polygonal chain, known as a "spirangle," utilizing the segment's length as ~~the fundamental determinant~~ for pitch.~~{{clarify}}~~

[[File:Heptagon spiral harp.png|thumb|An eight-sided spiral polygonal chain.]]

Spiral tuning systems encompass the diverse configurations of a spiral polygonal chain, known as a "spirangle," utilizing the segment's length as source for pitch, whether as string length or frequency.

These systems are non-periodic and possess an infinite range of possibilities. Among these configurations defined by their sides and segments, many prove musically practical, with potential for some to manifest as tangible instruments, such as spiral harps.

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An open-source, virtual playable spiral harp is accessible in https://kepleriandreams.github.io.

[[File:Unwinded spirals next to each other, from 0 sides to 2 sides, in step 0.004, 20 first strings .png|thumb|Unwound spirals next to each other, from 0 sides to 2 sides, in step 0.004, 20 first strings, colored by equave 2:1]]

[[File:Unwinded spirals next to each other, from 0 sides to 10 sides, in step 0.02, 20 first strings .png|thumb|Unwound spirals next to each other, from 0 sides to 10 sides, in step 0.02, 20 first strings ]]

[[File:Unwound spirals next to each other, from 0 sides to 20 sides, in step 0.01, 20 first strings .png|thumb|Unwound spirals next to each other, from 0 sides to 20 sides, in step 0.01, 20 first strings ]]

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-Spiral tuning systems encompass the diverse configurations of a spiral polygonal chain, known as a "spirangle," utilizing the segment's length as the fundamental determinant for pitch.{{clarify}}
+[[File:Heptagon spiral harp.png|thumb|An eight-sided spiral polygonal chain.]]
+Spiral tuning systems encompass the diverse configurations of a spiral polygonal chain, known as a "spirangle," utilizing the segment's length as source for pitch, whether as string length or frequency.
 These systems are non-periodic and possess an infinite range of possibilities. Among these configurations defined by their sides and segments, many prove musically practical, with potential for some to manifest as tangible instruments, such as spiral harps.
@@ Line 16: / Line 17: @@
 An open-source, virtual playable spiral harp is accessible in https://kepleriandreams.github.io.
+[[File:Unwinded spirals next to each other, from 0 sides to 2 sides, in step 0.004, 20 first strings .png|thumb|Unwound spirals next to each other, from 0 sides to 2 sides, in step 0.004, 20 first strings, colored by equave 2:1]]
+[[File:Unwinded spirals next to each other, from 0 sides to 10 sides, in step 0.02, 20 first strings .png|thumb|Unwound spirals next to each other, from 0 sides to 10 sides, in step 0.02, 20 first strings ]]
+[[File:Unwound spirals next to each other, from 0 sides to 20 sides, in step 0.01, 20 first strings .png|thumb|Unwound spirals next to each other, from 0 sides to 20 sides, in step 0.01, 20 first strings ]]
 {{Todo| review | discuss title }}