Chords of magic: Difference between revisions
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Below are listed the [[11-odd-limit]] [[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 [[11-odd-limit]] [[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 [[ | 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 [[keemic chords|keemic]]. 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. | 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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| 0-1-8-9 | | 0-1-8-9 | ||
| 1-5/4-16/11-9/5 | | 1-5/4-16/11-9/5 | ||
| | | Keemic | ||
| Cv^7(^^b5) | | Cv^7(^^b5) | ||
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| Line 818: | Line 818: | ||
| 0-4-8-12 | | 0-4-8-12 | ||
| 1-6/5-16/11-7/4 | | 1-6/5-16/11-7/4 | ||
| | | Keemic | ||
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| Line 937: | Line 937: | ||
| 0-1-9-13 | | 0-1-9-13 | ||
| 1-5/4-9/5-12/11 | | 1-5/4-9/5-12/11 | ||
| | | Keemic | ||
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| Line 1,014: | Line 1,014: | ||
| 0-4-12-13 | | 0-4-12-13 | ||
| 1-6/5-7/4-12/11 | | 1-6/5-7/4-12/11 | ||
| | | Keemic | ||
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| Line 1,487: | Line 1,487: | ||
| 0-1-5-9-13 | | 0-1-5-9-13 | ||
| 1-5/4-3/2-9/5-12/11 | | 1-5/4-3/2-9/5-12/11 | ||
| | | Keemic | ||
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| Line 1,501: | Line 1,501: | ||
| 0-1-8-9-13 | | 0-1-8-9-13 | ||
| 1-5/4-16/11-9/5-12/11 | | 1-5/4-16/11-9/5-12/11 | ||
| | | Keemic | ||
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| Line 1,571: | Line 1,571: | ||
| 0-4-5-12-13 | | 0-4-5-12-13 | ||
| 1-6/5-3/2-7/4-12/11 | | 1-6/5-3/2-7/4-12/11 | ||
| | | Keemic | ||
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| Line 1,585: | Line 1,585: | ||
| 0-4-8-12-13 | | 0-4-8-12-13 | ||
| 1-6/5-16/11-7/4-12/11 | | 1-6/5-16/11-7/4-12/11 | ||
| | | Keemic | ||
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