Chords of magic: Difference between revisions

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Below are listed the [[dyadic chord]]s of 11-limit [[~~Magic~~|magic temperament]]. Typing the chords requires consideration of the fact that magic conflates [[10/9]] and [[11/10]] and so also [[9/5]] and [[20/11]]. If a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 10/9 and 9/5.

Below are listed the [[dyadic chord]]s of 11-limit [[magic|magic temperament]]. Typing the chords requires consideration of the fact that magic conflates [[10/9]] and [[11/10]] and so also [[9/5]] and [[20/11]]. If a [[transversal]] can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 10/9 and 9/5.

Chords requiring tempering only by [[225/224]] are labeled [[~~Marvel~~ chords|marvel]], by [[245/243]] [[~~Sensamagic~~ chords|sensamagic]], by [[100/99]] [[~~Ptolemismic~~ chords|ptolemismic]], by [[896/891]] [[~~Pentacircle~~ chords|pentacircle]], by [[385/384]] [[~~Keenanismic~~ chords|keenanismic]], and by [[540/539]] [[~~Swetismic~~ chords|swetismic]]. Those requiring any two of 225/224, 100/99 or 896/891 are labeled apollo, any two of 100/99, 245/243 or 540/539 octarod, any two of 245/243, 896/891 or 385/384 [[~~Undecimal~~ sensamagic chords|sensamagic11]], any two of 225/224, 385/384 or 540/539 [[~~Undecimal~~ marvel chords|unimarvel]]. Chords requiring both 100/99 and 385/384 are labeled [[~~Magical seventh chord~~|supermagic]]. Finally, anything requiring three independent commas among those discussed above is labeled [[~~Magic~~ chords|magic]].

Chords requiring tempering only by [[225/224]] are labeled [[marvel chords|marvel]], by [[245/243]] [[sensamagic chords|sensamagic]], by [[100/99]] [[ptolemismic chords|ptolemismic]], by [[896/891]] [[pentacircle chords|pentacircle]], by [[385/384]] [[keenanismic chords|keenanismic]], and by [[540/539]] [[swetismic chords|swetismic]]. Those requiring any two of 225/224, 100/99 or 896/891 are labeled apollo, any two of 100/99, 245/243 or 540/539 octarod, any two of 245/243, 896/891 or 385/384 [[undecimal sensamagic chords|sensamagic11]], any two of 225/224, 385/384 or 540/539 [[undecimal marvel chords|unimarvel]]. Chords requiring both 100/99 and 385/384 are labeled [[supermagic chords|supermagic]]. Finally, anything requiring three independent commas among those discussed above is labeled [[magic chords|magic]].

Magic has [[mos scale]]s of sizes 7, 10, 13, 16, 19 and 22 notes. It may be seen that even the seven-note mos is not without a few harmonic resources, and the larger ones do much better.

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-Below are listed the [[dyadic chord]]s of 11-limit [[Magic|magic temperament]]. Typing the chords requires consideration of the fact that magic conflates [[10/9]] and [[11/10]] and so also [[9/5]] and [[20/11]]. If a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 10/9 and 9/5.
+Below are listed the [[dyadic chord]]s of 11-limit [[magic|magic temperament]]. Typing the chords requires consideration of the fact that magic conflates [[10/9]] and [[11/10]] and so also [[9/5]] and [[20/11]]. If a [[transversal]] can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 10/9 and 9/5.
-Chords requiring tempering only by [[225/224]] are labeled [[Marvel chords|marvel]], by [[245/243]] [[Sensamagic chords|sensamagic]], by [[100/99]] [[Ptolemismic chords|ptolemismic]], by [[896/891]] [[Pentacircle chords|pentacircle]], by [[385/384]] [[Keenanismic chords|keenanismic]], and by [[540/539]] [[Swetismic chords|swetismic]]. Those requiring any two of 225/224, 100/99 or 896/891 are labeled apollo, any two of 100/99, 245/243 or 540/539 octarod, any two of 245/243, 896/891 or 385/384 [[Undecimal sensamagic chords|sensamagic11]], any two of 225/224, 385/384 or 540/539 [[Undecimal marvel chords|unimarvel]]. Chords requiring both 100/99 and 385/384 are labeled [[Magical seventh chord|supermagic]]. Finally, anything requiring three independent commas among those discussed above is labeled [[Magic chords|magic]].
+Chords requiring tempering only by [[225/224]] are labeled [[marvel chords|marvel]], by [[245/243]] [[sensamagic chords|sensamagic]], by [[100/99]] [[ptolemismic chords|ptolemismic]], by [[896/891]] [[pentacircle chords|pentacircle]], by [[385/384]] [[keenanismic chords|keenanismic]], and by [[540/539]] [[swetismic chords|swetismic]]. Those requiring any two of 225/224, 100/99 or 896/891 are labeled apollo, any two of 100/99, 245/243 or 540/539 octarod, any two of 245/243, 896/891 or 385/384 [[undecimal sensamagic chords|sensamagic11]], any two of 225/224, 385/384 or 540/539 [[undecimal marvel chords|unimarvel]]. Chords requiring both 100/99 and 385/384 are labeled [[supermagic chords|supermagic]]. Finally, anything requiring three independent commas among those discussed above is labeled [[magic chords|magic]].
 Magic has [[mos scale]]s of sizes 7, 10, 13, 16, 19 and 22 notes. It may be seen that even the seven-note mos is not without a few harmonic resources, and the larger ones do much better.