Chords of superpyth: Difference between revisions

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{{Editable user page| Please complete the description and tables. This page is planned to be moved to main space once completed.}}
{{Editable user page| Please complete the description and tables. This page is planned to be moved to main space once completed.}}
Below is a complete list of all [[11-odd-limit]] [[dyadic chord]]s in [[11-limit]] [[superpyth|superpyth temperament]]. Note that there are many common chords, for example [[8:10:12:15]], which are not listed; in this case due to [[15/8]] not being in the 11-odd-limit. Every chord listed has multiple [[Wikipedia:Chord inversion|inversions]]; only one is listed, that being the inversion where all notes are a positive number of [[generator]]s above the root.
Below is a complete list of all [[11-odd-limit]] [[dyadic chord]]s in [[11-limit]] [[superpyth|superpyth temperament]]. Note that there are many common chords, for example [[8:10:12:15]], which are not listed; in this case due to [[15/8]] not being in the 11-odd-limit. Every chord listed has multiple [[Wikipedia:Chord inversion|inversions]]; only one is listed, that being the inversion where all notes are a positive number of perfect fifth [[generator]]s above the root.


If a chord is [[Dyadic chord#Essentially tempered dyadic chord|essentially just]], it is classified as '''otonal''' if it is best analyzed in terms of the [[harmonic series]], '''utonal''' if best analyzed in terms of the [[subharmonic series]], and '''ambitonal''' if equally well analyzed by either. If a chord is [[Dyadic chord#Essentially tempered dyadic chord|essentially tempered]], it is classified based on which [[Essential tempering comma|commas]] are needed to define the chord. Chords essentially tempered by [[64/63]] are labeled [[archytas chords|archytas]], by [[100/99]] [[ptolemismic chords|ptolemismic]], by [[176/175]] [[valinorsmic chords|valinorsmic]], by [[245/243]] [[sensamagic chords|sensamagic]], and by [[540/539]] [[swetismic chords|swetismic]]. Chords that require any two of 64/63, 100/99 and 176/175 to vanish are labeled [[ares chords|ares]]. Finally, chords that require any two of 100/99, 245/243 and 540/539 to vanish are labeled [[octarod chords|octarod]].  
If a chord is [[Dyadic chord#Essentially tempered dyadic chord|essentially just]], it is classified as '''otonal''' if it is best analyzed in terms of the [[harmonic series]], '''utonal''' if best analyzed in terms of the [[subharmonic series]], and '''ambitonal''' if equally well analyzed by either. If a chord is [[Dyadic chord#Essentially tempered dyadic chord|essentially tempered]], it is classified based on which [[Essential tempering comma|commas]] are needed to define the chord. Chords essentially tempered by [[64/63]] are labeled [[archytas chords|archytas]], by [[100/99]] [[ptolemismic chords|ptolemismic]], by [[176/175]] [[valinorsmic chords|valinorsmic]], by [[245/243]] [[sensamagic chords|sensamagic]], and by [[540/539]] [[swetismic chords|swetismic]]. Chords that require any two of 64/63, 100/99 and 176/175 to vanish are labeled [[ares chords|ares]]. Finally, chords that require any two of 100/99, 245/243 and 540/539 to vanish are labeled [[octarod chords|octarod]].