Chords of orwell: Difference between revisions

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Below are listed the [[dyadic chord]] of 11-limit [[orwell|orwell temperament]]. Typing the chords requires consideration of the fact that orwell equates certain [[11-odd-limit]] consonances—it conflates [[14/11]] and [[9/7]], [[11/7]] and [[14/9]], [[12/11]] and [[11/10]], and [[11/6]] 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 9/7 and 11/10 and their inversions. Those requiring tempering only by [[225/224]] are labeled [[marvel chords|marvel]], by [[99/98]] [[mothwellsmic chords|mothwellsmic]], by [[121/120]] [[biyatismic chords|biyatismic]], by [[176/175]] [[valinorsmic chords|valinorsmic]], by [[385/384]] [[keenanismic chords|keenanismic]], and by [[540/539]] [[swetismic chords|swetismic]]. If it requires any two of 99/98, 176/175 and 225/224, it is labeled minerva, any two of 99/98, 121/120 or 540/539, big brother, any two of 121/120, 176/175 or 385/384, zeus, any two of 225/224, 385/384 or 540/539, [[undecimal marvel chords|unimarvel]]. If it requires both 99/98 and 385/384 it is labeled orwellian, and if it requires three independent commas among those discussed above, it is labeled orwell. Orwell has [[mos]] of size 5, 9, 13, 22 and 31. The complaint is often made that orwell is lacking in low-complexity harmonies; however, even the orwell pentatonic has three triads and a tetrad, the nine-note mos is of course much better supplied and with thirteen notes we are rolling in chords and tossing them in the air, finding plenty of chords including even the inexorable major triad.

Below are listed the [[11-odd-limit]] [[dyadic chord]]s of 11-limit [[orwell|orwell temperament]]. Typing the chords requires consideration of the fact that orwell equates certain [[11-odd-limit]] consonances—it conflates [[14/11]] and [[9/7]], [[11/7]] and [[14/9]], [[12/11]] and [[11/10]], and [[11/6]] 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 9/7 and 11/10 and their inversions. Those requiring tempering only by [[225/224]] are labeled [[marvel chords|marvel]], by [[99/98]] [[mothwellsmic chords|mothwellsmic]], by [[121/120]] [[biyatismic chords|biyatismic]], by [[176/175]] [[valinorsmic chords|valinorsmic]], by [[385/384]] [[keenanismic chords|keenanismic]], and by [[540/539]] [[swetismic chords|swetismic]]. If it requires any two of 99/98, 176/175 and 225/224, it is labeled minerva, any two of 99/98, 121/120 or 540/539, big brother, any two of 121/120, 176/175 or 385/384, zeus, any two of 225/224, 385/384 or 540/539, [[undecimal marvel chords|unimarvel]]. If it requires both 99/98 and 385/384 it is labeled orwellian, and if it requires three independent commas among those discussed above, it is labeled orwell. Orwell has [[mos]] of size 5, 9, 13, 22 and 31. The complaint is often made that orwell is lacking in low-complexity harmonies; however, even the orwell pentatonic has three triads and a tetrad, the nine-note mos is of course much better supplied and with thirteen notes we are rolling in chords and tossing them in the air, finding plenty of chords including even the inexorable major triad.

For diagrams showing how some of these chords might map to a [[keyboard]] such as the Axis-49, see [[Orwell on an isomorphic keyboard]].

Revision as of 21:50, 22 June 2025 view source Lériendil (talk \| contribs) 8,044 edits m Lériendil moved page Chords of orwell to Orwell/Chords ← Older edit		Revision as of 22:32, 18 December 2025 view source Overthink (talk \| contribs) autopatrolled 2,763 edits m better wording Newer edit →
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	Below are listed the [[dyadic chord]] of 11-limit [[orwell\|orwell temperament]]. Typing the chords requires consideration of the fact that orwell equates certain [[11-odd-limit]] consonances—it conflates [[14/11]] and [[9/7]], [[11/7]] and [[14/9]], [[12/11]] and [[11/10]], and [[11/6]] 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 9/7 and 11/10 and their inversions. Those requiring tempering only by [[225/224]] are labeled [[marvel chords\|marvel]], by [[99/98]] [[mothwellsmic chords\|mothwellsmic]], by [[121/120]] [[biyatismic chords\|biyatismic]], by [[176/175]] [[valinorsmic chords\|valinorsmic]], by [[385/384]] [[keenanismic chords\|keenanismic]], and by [[540/539]] [[swetismic chords\|swetismic]]. If it requires any two of 99/98, 176/175 and 225/224, it is labeled minerva, any two of 99/98, 121/120 or 540/539, big brother, any two of 121/120, 176/175 or 385/384, zeus, any two of 225/224, 385/384 or 540/539, [[undecimal marvel chords\|unimarvel]]. If it requires both 99/98 and 385/384 it is labeled orwellian, and if it requires three independent commas among those discussed above, it is labeled orwell. Orwell has [[mos]] of size 5, 9, 13, 22 and 31. The complaint is often made that orwell is lacking in low-complexity harmonies; however, even the orwell pentatonic has three triads and a tetrad, the nine-note mos is of course much better supplied and with thirteen notes we are rolling in chords and tossing them in the air, finding plenty of chords including even the inexorable major triad.		Below are listed the [[11-odd-limit]] [[dyadic chord]]s of 11-limit [[orwell\|orwell temperament]]. Typing the chords requires consideration of the fact that orwell equates certain [[11-odd-limit]] consonances—it conflates [[14/11]] and [[9/7]], [[11/7]] and [[14/9]], [[12/11]] and [[11/10]], and [[11/6]] 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 9/7 and 11/10 and their inversions. Those requiring tempering only by [[225/224]] are labeled [[marvel chords\|marvel]], by [[99/98]] [[mothwellsmic chords\|mothwellsmic]], by [[121/120]] [[biyatismic chords\|biyatismic]], by [[176/175]] [[valinorsmic chords\|valinorsmic]], by [[385/384]] [[keenanismic chords\|keenanismic]], and by [[540/539]] [[swetismic chords\|swetismic]]. If it requires any two of 99/98, 176/175 and 225/224, it is labeled minerva, any two of 99/98, 121/120 or 540/539, big brother, any two of 121/120, 176/175 or 385/384, zeus, any two of 225/224, 385/384 or 540/539, [[undecimal marvel chords\|unimarvel]]. If it requires both 99/98 and 385/384 it is labeled orwellian, and if it requires three independent commas among those discussed above, it is labeled orwell. Orwell has [[mos]] of size 5, 9, 13, 22 and 31. The complaint is often made that orwell is lacking in low-complexity harmonies; however, even the orwell pentatonic has three triads and a tetrad, the nine-note mos is of course much better supplied and with thirteen notes we are rolling in chords and tossing them in the air, finding plenty of chords including even the inexorable major triad.

	For diagrams showing how some of these chords might map to a [[keyboard]] such as the Axis-49, see [[Orwell on an isomorphic keyboard]].		For diagrams showing how some of these chords might map to a [[keyboard]] such as the Axis-49, see [[Orwell on an isomorphic keyboard]].