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Below is a complete list of all [[11-odd-limit]] [[dyadic chord]]s of [[11-limit]] [[orwell|orwell 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 [[chord #Inversion|inversions]]; only one is listed, that being the inversion where all notes are a nonnegative number of subminor third [[generator]]s above the root. | |||
Typing the chords requires consideration of the fact that orwell equates certain [[11-odd-limit]] consonances – it conflates [[14/11]] with [[9/7]], [[11/7]] with [[14/9]], [[12/11]] with [[11/10]], and [[11/6]] with [[20/11]]. If a [[transversal]] can be found which shows the chord to be [[dyadic chord #Essentially tempered dyadic chord|essentially just]], that transversal is listed along with a typing as [[otonal]], [[utonal]], or [[ambitonal]]. Sometimes multiple such transversals exist, in which case the chord is a [[plurichord]], and the type is given for all possible interpretations. If the chord is [[dyadic chord #Essentially tempered dyadic chord|essentially tempered]], it is analyzed in terms of the transversal that requires the minimum amount of commas to be tempered out; if there is a tie between multiple transversals, it is analyzed in terms of the transversal which employs 9/7 and 11/10 over the root. | |||
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 chords|minerva]], any two of 99/98, 121/120 or 540/539, [[big brother chords|big brother]], any two of 121/120, 176/175 or 385/384, [[zeus chords|zeus]], any two of 225/224, 385/384 or 540/539, [[undecimal marvel chords|marvel11]]. If it requires both 99/98 and 385/384 it is labeled [[orwellian chords|orwellian]], and if it requires three independent commas among those discussed above, it is labeled [[orwell chords|orwell]]. | |||
{| class="wikitable" | 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 scale has three triads and a tetrad. The 9-note mos is of course much better supplied, and with 13 notes we are rolling in chords and tossing them in the air, finding plenty of chords including even the inexorable [[4:5:6|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]]. | |||
== Triads == | |||
{| class="wikitable center-1" | |||
|- | |- | ||
! # | |||
! Generators | |||
! Transversal | |||
! Type | |||
! Comment | |||
|- | |- | ||
| 1 | |||
| | | 0–1–2 | ||
| | | 1–7/6–11/8 | ||
| | | | Mothwellsmic | ||
| | |||
|- | |- | ||
| 2 | |||
| | | 0–1–3 | ||
| | | 1–7/6–8/5 | ||
| | | | Keenanismic | ||
| | |||
|- | |- | ||
| 3 | |||
| | | 0–2–3 | ||
| | | 1–11/8–8/5 | ||
| | | | Keenanismic | ||
| | |||
|- | |- | ||
| 4 | |||
| | | 0–2–5 | ||
| | | 1–11/10–11/8 | ||
| | | | Utonal | ||
| | |||
|- | |- | ||
| 5 | |||
| | | 0–3–5 | ||
| | | 1–11/10–8/5 | ||
| | | | Otonal | ||
| | |||
|- | |- | ||
| 6 | |||
| | | 0–1–6 | ||
| | | 1–7/6–14/11 | ||
| | | | Utonal | ||
| | |||
|- | |- | ||
| 7 | |||
| | | 0–3–6 | ||
| | | 1–9/7–8/5 | ||
| | | | Marvel | ||
| | |||
|- | |- | ||
| 8 | |||
| | | 0–5–6 | ||
| | | 1–12/11–14/11 | ||
| | | | Otonal | ||
| | |||
|- | |- | ||
| 9 | |||
| | | 0–1–7 | ||
| | | 1–7/6–3/2 | ||
| | | | Otonal | ||
| [[6:7:9]] | |||
|- | |- | ||
| 10 | |||
| | | 0–2–7 | ||
| | | 1–11/8–3/2 | ||
| | | | Otonal | ||
| | |||
|- | |- | ||
| 11 | |||
| | | 0–5–7 | ||
| | | 1–12/11–3/2 | ||
| | | | Utonal | ||
| | |||
|- | |- | ||
| 12 | |||
| | | 0–6–7 | ||
| | | 1–9/7–3/2 | ||
| | | | Utonal | ||
| [[14:18:21|1/(9:7:6)]] | |||
|- | |- | ||
| 13 | |||
| | | 0–1–8 | ||
| | | 1–7/6–7/4 | ||
| | | | Utonal | ||
| [[14:21:24|1/(12:8:7)]] | |||
|- | |- | ||
| 14 | |||
| | | 0–2–8 | ||
| | | 1–11/8–7/4 | ||
| | | | Otonal | ||
| | |||
|- | |- | ||
| 15 | |||
| | | 0–3–8 | ||
| | | 1–8/5–7/4 | ||
| | | | Valinorsmic | ||
| | |||
|- | |- | ||
| 16 | |||
| | | 0–5–8 | ||
| | | 1–11/10–7/4 | ||
| | | | Valinorsmic | ||
| | |||
|- | |- | ||
| 17 | |||
| | | 0–6–8 | ||
| | | 1–14/11–7/4 | ||
| | | | Utonal | ||
| | |||
|- | |- | ||
| 18 | |||
| | | 0–7–8 | ||
| | | 1–3/2–7/4 | ||
| | | | Otonal | ||
| [[4:6:7]] | |||
|- | |- | ||
| 19 | |||
| | | 0–2–10 | ||
| | | 1–6/5–11/8 | ||
| | | | Keenanismic | ||
| | |||
|- | |- | ||
| 20 | |||
| | | 0–3–10 | ||
| | | 1–6/5–8/5 | ||
| | | | Otonal | ||
| [[4:5:6]] | |||
|- | |- | ||
| 21 | |||
| | | 0–5–10 | ||
| | | 1–11/10–6/5 | ||
| | | | Otonal | ||
| | |||
|- | |- | ||
| | | | 22 | ||
| | | | 0–7–10 | ||
| | 1 | | 1–6/5–3/2 | ||
| Utonal | |||
| [[10:12:15|1/(6:5:4)]] | |||
|- | |- | ||
| 23 | |||
| | | 0–8–10 | ||
| | | 1–6/5–7/4 | ||
| | | | Keenanismic | ||
| | |||
|- | |- | ||
| | | | 24 | ||
| | | | 0–1–11 | ||
| | 1 | | 1–7/6–7/5 | ||
| Utonal | |||
| [[30:35:42|1/(7:6:5)]] | |||
|- | |- | ||
| 25 | |||
| | | 0–3–11 | ||
| | | 1–7/5–8/5 | ||
| | | | Otonal | ||
| [[4:5:7]] | |||
|- | |- | ||
| 26 | |||
| | | 0–5–11 | ||
| | | 1–11/10–7/5 | ||
| | | | Otonal | ||
| | |||
|- | |- | ||
| 27 | |||
| | | 0–6–11 | ||
| | | 1–14/11–7/5 | ||
| | | | Utonal | ||
| | |||
|- | |- | ||
| | | | 28 | ||
| | | | 0–8–11 | ||
| | 1 | | 1–7/5–7/4 | ||
| Utonal | |||
| [[28:35:40|1/(10:8:7)]] | |||
|- | |- | ||
| 29 | |||
| | | 0–10–11 | ||
| | | 1–6/5–7/5 | ||
| | | | Otonal | ||
| [[5:6:7]] | |||
|- | |- | ||
| 30 | |||
| | | 0–1–12 | ||
| | | 1–7/6–18/11 | ||
| | | | Swetismic | ||
| | |||
|- | |- | ||
| 31 | |||
| | | 0–2–12 | ||
| | | 1–11/8–18/11 | ||
| | | | Biyatismic | ||
| | |||
|- | |- | ||
| 32 | |||
| | | 0–5–12 | ||
| | | 1–12/11–18/11 | ||
| | | | Otonal | ||
| | |||
|- | |- | ||
| 33 | |||
| | | 0–6–12 | ||
| | | 1–9/7–18/11 | ||
| | | | Utonal | ||
| | |||
|- | |- | ||
| 34 | |||
| | | 0–7–12 | ||
| | | 1–3/2–18/11 | ||
| | | | Utonal | ||
| | |||
|- | |- | ||
| 35 | |||
| | | 0–10–12 | ||
| | | 1–6/5–18/11 | ||
| | | | Biyatismic | ||
| | |||
|- | |- | ||
| 36 | |||
| | | 0–11–12 | ||
| | | 1–7/5–18/11 | ||
| | | | Swetismic | ||
| | |||
|- | |- | ||
| 37 | |||
| | | 0–2–14 | ||
| | | 1–9/8–11/8 | ||
| | | | Otonal | ||
| | |||
|- | |- | ||
| 38 | |||
| | | 0–3–14 | ||
| | | 1–9/8–8/5 | ||
| | | | Marvel | ||
| | |||
|- | |- | ||
| 39 | |||
| | | 0–6–14 | ||
| | | 1–9/8–9/7 | ||
| | | | Utonal | ||
| | |||
|- | |- | ||
| 40 | |||
| | | 0–7–14 | ||
| | | 1–9/8–3/2 | ||
| | | | Ambitonal | ||
| [[6:8:9]], [[8:9:12]] | |||
|- | |- | ||
| 41 | |||
| | | 0–8–14 | ||
| | | 1–9/8–7/4 | ||
| | | | Otonal | ||
| | |||
|- | |- | ||
| 42 | |||
| | | 0–11–14 | ||
| | | 1–9/8–7/5 | ||
| | | | Marvel | ||
| | |||
|- | |- | ||
| 43 | |||
| | | 0–12–14 | ||
| | | 1–9/8–18/11 | ||
| | | | Utonal | ||
| | |||
|- | |- | ||
| 44 | |||
| | | 0–3–17 | ||
| | | 1–8/5–9/5 | ||
| | | | Otonal | ||
| | |||
|- | |- | ||
| 45 | |||
| | | 0–5–17 | ||
| | | 1–11/10–9/5 | ||
| | | | Otonal | ||
| | |||
|- | |- | ||
| 46 | |||
| | | 0–6–17 | ||
| | | 1–9/7–9/5 | ||
| | | | Utonal | ||
| | |||
|- | |- | ||
| 47 | |||
| | | | 0–7–17 | ||
| | 1 | | 1–3/2–9/5 | ||
| Utonal | |||
| [[10:15:18|1/(9:6:5)]] | |||
|- | |- | ||
| 48 | |||
| | | 0–10–17 | ||
| | | 1–6/5–9/5 | ||
| | | | Otonal | ||
| [[6:9:10]] | |||
|- | |- | ||
| 49 | |||
| | | 0–11–17 | ||
| | | 1–7/5–9/5 | ||
| | | | Otonal | ||
| | |||
|- | |- | ||
| 50 | |||
| | | 0–12–17 | ||
| | | 1–18/11–9/5 | ||
| | | | Utonal | ||
| | |||
|- | |- | ||
| 51 | |||
| | | 0–14–17 | ||
| | | 1–9/8–9/5 | ||
| | | | Utonal | ||
| | |||
|} | |} | ||
=Tetrads= | == Tetrads == | ||
{| class="wikitable center-1" | |||
{| class="wikitable" | |||
|- | |- | ||
! # | |||
! Generators | |||
! Transversal | |||
! Type | |||
! Comment | |||
! Example in 22edo | |||
|- | |- | ||
| 1 | |||
| | | 0–1–2–3 | ||
| | | 1–7/6–11/8–8/5 | ||
| | | | Orwellian | ||
| | |||
| [[File:OrwellTetrad22edo.mp3]] | |||
|- | |- | ||
| 2 | |||
| | | 0–2–3–5 | ||
| | | 1–11/10–11/8–8/5 | ||
| | | | Keenanismic | ||
| | |||
| [[File:Orwell_0_2_3_5_22edo.mp3]] | |||
|- | |- | ||
| 3 | |||
| | | 0–1–3–6 | ||
| | | 1–7/6–9/7–8/5 | ||
| | | | Marvel11 | ||
| | |||
| [[File:Orwell_0_1_3_6_22edo.mp3]] | |||
|- | |- | ||
| 4 | |||
| | | 0–3–5–6 | ||
| | | 1–11/10–9/7–8/5 | ||
| | | | Marvel11 | ||
| | |||
| [[File:Orwell_0_3_5_6_22edo.mp3]] | |||
|- | |- | ||
| 5 | |||
| | | 0–1–2–7 | ||
| | | 1–7/6–11/8–3/2 | ||
| | | Big brother | ||
| | [[File:Orwell_0_1_2_7_22edo.mp3]] | | | ||
| [[File:Orwell_0_1_2_7_22edo.mp3]] | |||
|- | |- | ||
| 6 | |||
| | | 0–2–5–7 | ||
| | | 1–11/10–11/8–3/2 | ||
| | | | Biyatismic | ||
| | |||
| [[File:Orwell_0_2_5_7_22edo.mp3]] | |||
|- | |- | ||
| 7 | |||
| | | 0–1–6–7 | ||
| | | 1–7/6–9/7–3/2 | ||
| | | | Swetismic | ||
| | |||
| [[File:Orwell_0_1_6_7_22edo.mp3]] | |||
|- | |- | ||
| 8 | |||
| | | 0–5–6–7 | ||
| | | 1–11/10–9/7–3/2 | ||
| | | Big brother | ||
| | [[File:Orwell_0_5_6_7_22edo.mp3]] | | | ||
| [[File:Orwell_0_5_6_7_22edo.mp3]] | |||
|- | |- | ||
| 9 | |||
| | | 0–1–2–8 | ||
| | | 1–7/6–11/8–7/4 | ||
| | | | Mothwellsmic | ||
| | |||
| [[File:Orwell_0_1_2_8_22edo.mp3]] | |||
|- | |- | ||
| 10 | |||
| | | 0–1–3–8 | ||
| | | 1–7/6–8/5–7/4 | ||
| | | | Zeus | ||
| | |||
| [[File:Orwell_0_1_3_8_22edo.mp3]] | |||
|- | |- | ||
| 11 | |||
| | | 0–2–3–8 | ||
| | | 1–11/8–8/5–7/4 | ||
| | | | Orwell | ||
| | |||
| [[File:Orwell_0_2_3_8_22edo.mp3]] | |||
|- | |- | ||
| 12 | |||
| | | 0–2–5–8 | ||
| | | 1–11/10–11/8–7/4 | ||
| | | | Minerva | ||
| | |||
| [[File:Orwell_0_2_5_8_22edo.mp3]] | |||
|- | |- | ||
| 13 | |||
| | | 0–3–5–8 | ||
| | | 1–11/10–8/5–7/4 | ||
| | | | Valinorsmic | ||
| | |||
| [[File:Orwell_0_3_5_8_22edo.mp3]] | |||
|- | |- | ||
| 14 | |||
| | | 0–1–6–8 | ||
| | | 1–7/6–14/11–7/4 | ||
| | | | Utonal | ||
| | |||
| [[File:Orwell_0_1_6_8_22edo.mp3]] | |||
|- | |- | ||
| 15 | |||
| | | 0–3–6–8 | ||
| | | 1–9/7–8/5–7/4 | ||
| | | | Minerva | ||
| | |||
| | |||
|- | |- | ||
| 16 | |||
| | | 0–5–6–8 | ||
| | | 1–11/10–9/7–7/4 | ||
| | | | Orwell | ||
| | |||
| | |||
|- | |- | ||
| 17 | |||
| | | 0–1–7–8 | ||
| | | 1–7/6–3/2–7/4 | ||
| | | | Ambitonal | ||
| [[12:14:18:21]], [[14:18:21:24]]<br>[[9-odd-limit]] [[ASS]] | |||
| | |||
|- | |- | ||
| 18 | |||
| | | 0–2–7–8 | ||
| | | 1–11/8–3/2–7/4 | ||
| | | | Otonal | ||
| | |||
| | |||
|- | |- | ||
| 19 | |||
| | | 0–5–7–8 | ||
| | | 1–11/10–3/2–7/4 | ||
| | | | Zeus | ||
| | |||
| | |||
|- | |- | ||
| 20 | |||
| | | 0–6–7–8 | ||
| | | 1–9/7–3/2–7/4 | ||
| | | | Mothwellsmic | ||
| | |||
| | |||
|- | |- | ||
| 21 | |||
| | | 0–2–3–10 | ||
| | | 1–6/5–11/8–8/5 | ||
| | | | Keenanismic | ||
| | |||
| | |||
|- | |- | ||
| 22 | |||
| | | 0–2–5–10 | ||
| | | 1–11/10–6/5–11/8 | ||
| | | | Zeus | ||
| | |||
| | |||
|- | |- | ||
| 23 | |||
| | | 0–3–5–10 | ||
| | | 1–11/10–6/5–8/5 | ||
| | | | Otonal | ||
| | |||
| | |||
|- | |- | ||
| 24 | |||
| | | 0–2–7–10 | ||
| | | 1–6/5–11/8–3/2 | ||
| | | | Zeus | ||
| | |||
| | |||
|- | |- | ||
| 25 | |||
| | | 0–5–7–10 | ||
| | | 1–12/11–6/5–3/2 | ||
| | | | Utonal | ||
| | |||
| | |||
|- | |- | ||
| 26 | |||
| | | 0–2–8–10 | ||
| | | 1–6/5–11/8–7/4 | ||
| | | | Orwellian | ||
| | |||
| | |||
|- | |- | ||
| 27 | |||
| | | 0–3–8–10 | ||
| | | 1–6/5–8/5–7/4 | ||
| | | | Zeus | ||
| | |||
| | |||
|- | |- | ||
| 28 | |||
| | | 0–5–8–10 | ||
| | | 1–11/10–6/5–7/4 | ||
| | | | Zeus | ||
| | |||
| | |||
|- | |- | ||
| 29 | |||
| | | 0–7–8–10 | ||
| | | 1–6/5–3/2–7/4 | ||
| | | | Keenanismic | ||
| | |||
| | |||
|- | |- | ||
| 30 | |||
| | | 0–1–3–11 | ||
| | | 1–7/6–7/5–8/5 | ||
| | | | Keenanismic | ||
| | |||
| | |||
|- | |- | ||
| 31 | |||
| | | 0–3–5–11 | ||
| | | 1–11/10–7/5–8/5 | ||
| | | | Otonal | ||
| | |||
| | |||
|- | |- | ||
| 32 | |||
| | | 0–1–6–11 | ||
| | | 1–7/6–14/11–7/5 | ||
| | | | Utonal | ||
| | |||
| | |||
|- | |- | ||
| 33 | |||
| | | 0–3–6–11 | ||
| | | 1–9/7–7/5–8/5 | ||
| | | | Minerva | ||
| | |||
| | |||
|- | |- | ||
| 34 | |||
| | | 0–5–6–11 | ||
| | | 1–11/10–9/7–7/5 | ||
| | | Big brother | ||
| | | | | ||
| | |||
|- | |- | ||
| 35 | |||
| | | 0–1–8–11 | ||
| | | 1–7/6–7/5–7/4 | ||
| | | | Utonal | ||
| [[70:84:105:120|1/(12:10:8:7)]] | |||
| | |||
|- | |- | ||
| 36 | |||
| | | 0–3–8–11 | ||
| | | 1–7/5–8/5–7/4 | ||
| | | | Valinorsmic | ||
| | |||
| | |||
|- | |- | ||
| 37 | |||
| | | 0–5–8–11 | ||
| | | 1–11/10–7/5–7/4 | ||
| | | | Minerva | ||
| | |||
| | |||
|- | |- | ||
| 38 | |||
| | | 0–6–8–11 | ||
| | | 1–14/11–7/5–7/4 | ||
| | | | Utonal | ||
| | |||
| | |||
|- | |- | ||
| 39 | |||
| | | 0–3–10–11 | ||
| | | 1–6/5–7/5–8/5 | ||
| | | | Otonal | ||
| [[4:5:6:7]] | |||
| | |||
|- | |- | ||
| 40 | |||
| | | 0–5–10–11 | ||
| | | 1–11/10–6/5–7/5 | ||
| | | | Otonal | ||
| | |||
| | |||
|- | |- | ||
| 41 | |||
| | | 0–8–10–11 | ||
| | | 1–6/5–7/5–7/4 | ||
| | | | Keenanismic | ||
| | |||
| | |||
|- | |- | ||
| 42 | |||
| | | 0–1–2–12 | ||
| | | 1–7/6–11/8–18/11 | ||
| | | Big brother | ||
| | | | | ||
| | |||
|- | |- | ||
| 43 | |||
| | | 0–2–5–12 | ||
| | | 1–11/10–11/8–18/11 | ||
| | | | Biyatismic | ||
| | |||
| | |||
|- | |- | ||
| 44 | |||
| | | 0–1–6–12 | ||
| | | 1–7/6–9/7–18/11 | ||
| | | Big brother | ||
| | | | | ||
| | |||
|- | |- | ||
| 45 | |||
| | | 0–5–6–12 | ||
| | | 1–12/11–14/11–18/11 | ||
| | | | Otonal | ||
| | |||
| | |||
|- | |- | ||
| 46 | |||
| | | 0–1–7–12 | ||
| | | 1–7/6–3/2–18/11 | ||
| | | Big brother | ||
| | | | | ||
| | |||
|- | |- | ||
| 47 | |||
| | | 0–2–7–12 | ||
| | | 1–11/8–3/2–18/11 | ||
| | | | Biyatismic | ||
| | |||
| | |||
|- | |- | ||
| 48 | |||
| | | 0–5–7–12 | ||
| | | 1–12/11–3/2–18/11 | ||
| | | | Ambitonal | ||
| 11-odd-limit ASS | |||
| | |||
|- | |- | ||
| 49 | |||
| | | 0–6–7–12 | ||
| | | 1–9/7–3/2–18/11 | ||
| | | | Utonal | ||
| | |||
| | |||
|- | |- | ||
| 50 | |||
| | | 0–2–10–12 | ||
| | | 1–6/5–11/8–18/11 | ||
| | | | Zeus | ||
| | |||
| | |||
|- | |- | ||
| 51 | |||
| | | 0–5–10–12 | ||
| | | 1–11/10–6/5–18/11 | ||
| | | | Biyatismic | ||
| | |||
| | |||
|- | |- | ||
| 52 | |||
| | | 0–7–10–12 | ||
| | | 1–6/5–3/2–18/11 | ||
| | | | Biyatismic | ||
| | |||
| | |||
|- | |- | ||
| 53 | |||
| | | 0–1–11–12 | ||
| | | 1–7/6–7/5–18/11 | ||
| | | | Swetismic | ||
| | |||
| | |||
|- | |- | ||
| 54 | |||
| | | 0–5–11–12 | ||
| | | 1–11/10–7/5–18/11 | ||
| | | Big brother | ||
| | | | | ||
| | |||
|- | |- | ||
| 55 | |||
| | | 0–6–11–12 | ||
| | | 1–9/7–7/5–18/11 | ||
| | | Big brother | ||
| | | | | ||
| | |||
|- | |- | ||
| 56 | |||
| | | 0–10–11–12 | ||
| | | 1–6/5–7/5–18/11 | ||
| | | Big brother | ||
| | | | | ||
| | |||
|- | |- | ||
| 57 | |||
| | | 0–2–3–14 | ||
| | | 1–9/8–11/8–8/5 | ||
| | | | Marvel11 | ||
| | |||
| | |||
|- | |- | ||
| 58 | |||
| | | 0–3–6–14 | ||
| | | 1–9/8–9/7–8/5 | ||
| | | | Marvel | ||
| | |||
| | |||
|- | |- | ||
| 59 | |||
| | | 0–2–7–14 | ||
| | | 1–9/8–11/8–3/2 | ||
| | | | Otonal | ||
| | |||
| | |||
|- | |- | ||
| 60 | |||
| | | 0–6–7–14 | ||
| | | 1–9/8–9/7–3/2 | ||
| | | | Utonal | ||
| [[28:36:42:63|1/(9:7:6:4)]] | |||
| | |||
|- | |- | ||
| 61 | |||
| | | 0–2–8–14 | ||
| | | 1–9/8–11/8–7/4 | ||
| | | | Otonal | ||
| | |||
| | |||
|- | |- | ||
| 62 | |||
| | | 0–3–8–14 | ||
| | | 1–9/8–8/5–7/4 | ||
| | | | Minerva | ||
| | |||
| | |||
|- | |- | ||
| 63 | |||
| | | 0–6–8–14 | ||
| | | 1–9/8–9/7–7/4 | ||
| | | | Mothwellsmic | ||
| | |||
| | |||
|- | |- | ||
| 64 | |||
| | | 0–7–8–14 | ||
| | | 1–9/8–3/2–7/4 | ||
| | | | Otonal | ||
| [[4:6:7:9]] | |||
| | |||
|- | |- | ||
| 65 | |||
| | | 0–3–11–14 | ||
| | | 1–9/8–7/5–8/5 | ||
| | | | Marvel | ||
| | |||
| | |||
|- | |- | ||
| 66 | |||
| | | 0–6–11–14 | ||
| | | 1–9/8–9/7–7/5 | ||
| | | | Minerva | ||
| | |||
| | |||
|- | |- | ||
| 67 | |||
| | | 0–8–11–14 | ||
| | | 1–9/8–7/5–7/4 | ||
| | | | Marvel | ||
| | |||
| | |||
|- | |- | ||
| 68 | |||
| | | 0–2–12–14 | ||
| | | 1–9/8–11/8–18/11 | ||
| | | | Biyatismic | ||
| | |||
| | |||
|- | |- | ||
| 69 | |||
| | | 0–6–12–14 | ||
| | | 1–9/8–9/7–18/11 | ||
| | | | Utonal | ||
| | |||
| | |||
|- | |- | ||
| 70 | |||
| | | 0–7–12–14 | ||
| | | 1–9/8–3/2–18/11 | ||
| | | | Utonal | ||
| | |||
| | |||
|- | |- | ||
| 71 | |||
| | | 0–11–12–14 | ||
| | | 1–9/8–7/5–18/11 | ||
| | | | Marvel11 | ||
| | |||
| | |||
|- | |- | ||
| 72 | |||
| | | 0–3–5–17 | ||
| | | 1–11/10–8/5–9/5 | ||
| | | | Otonal | ||
| | |||
| | |||
|- | |- | ||
| 73 | |||
| | | 0–3–6–17 | ||
| | | 1–9/7–8/5–9/5 | ||
| | | | Marvel | ||
| | |||
| | |||
|- | |- | ||
| 74 | |||
| | | 0–5–6–17 | ||
| | | 1–11/10–9/7–9/5 | ||
| | | | Swetismic | ||
| | |||
| | |||
|- | |- | ||
| 75 | |||
| | | 0–5–7–17 | ||
| | | 1–11/10–3/2–9/5 | ||
| | | | Biyatismic | ||
| | |||
| | |||
|- | |- | ||
| 76 | |||
| | | 0–6–7–17 | ||
| | | 1–9/7–3/2–9/5 | ||
| | | | Utonal | ||
| [[70:90:105:126|1/(9:7:6:5)]] | |||
| | |||
|- | |- | ||
| 77 | |||
| | | 0–3–10–17 | ||
| | | 1–6/5–8/5–9/5 | ||
| | | | Otonal | ||
| [[4:5:6:9]] | |||
| | |||
|- | |- | ||
| 78 | |||
| | | 0–5–10–17 | ||
| | | 1–11/10–6/5–9/5 | ||
| | | | Otonal | ||
| | |||
| | |||
|- | |- | ||
| 79 | |||
| | | 0–7–10–17 | ||
| | | 1–6/5–3/2–9/5 | ||
| | | | Ambitonal | ||
| [[10:12:15:18]], [[12:15:18:20]]<br>9-odd-limit ASS | |||
| | |||
|- | |- | ||
| 80 | |||
| | | 0–3–11–17 | ||
| | | 1–7/5–8/5–9/5 | ||
| | | | Otonal | ||
| [[4:5:7:9]] | |||
| | |||
|- | |- | ||
| 81 | |||
| | | 0–5–11–17 | ||
| | | 1–11/10–7/5–9/5 | ||
| | | | Otonal | ||
| | |||
| | |||
|- | |- | ||
| 82 | |||
| | | 0–6–11–17 | ||
| | | 1–9/7–7/5–9/5 | ||
| | | | Mothwellsmic | ||
| | |||
| | |||
|- | |- | ||
| 83 | |||
| | | 0–10–11–17 | ||
| | | 1–6/5–7/5–9/5 | ||
| | | | Otonal | ||
| [[5:6:7:9]] | |||
| | |||
|- | |- | ||
| 84 | |||
| | | 0–5–12–17 | ||
| | | 1–11/10–18/11–9/5 | ||
| | | | Biyatismic | ||
| | |||
| | |||
|- | |- | ||
| 85 | |||
| | | 0–6–12–17 | ||
| | | 1–9/7–18/11–9/5 | ||
| | | | Utonal | ||
| | |||
| | |||
|- | |- | ||
| 86 | |||
| | | 0–7–12–17 | ||
| | | 1–3/2–18/11–9/5 | ||
| | | | Utonal | ||
| | |||
| | |||
|- | |- | ||
| 87 | |||
| | | 0–10–12–17 | ||
| | | 1–6/5–18/11–9/5 | ||
| | | | Biyatismic | ||
| | |||
| | |||
|- | |- | ||
| 88 | |||
| | | 0–11–12–17 | ||
| | | 1–7/5–18/11–9/5 | ||
| | | | Swetismic | ||
| | |||
| | |||
|- | |- | ||
| 89 | |||
| | | 0–3–14–17 | ||
| | | 1–9/8–8/5–9/5 | ||
| | | | Marvel | ||
| | |||
| | |||
|- | |- | ||
| 90 | |||
| | | 0–6–14–17 | ||
| | | 1–9/8–9/7–9/5 | ||
| | | | Utonal | ||
| [[140:180:252:315|1/(9:7:5:4)]] | |||
| | |||
|- | |- | ||
| 91 | |||
| | | 0–7–14–17 | ||
| | | 1–9/8–3/2–9/5 | ||
| | | | Utonal | ||
| [[20:30:36:45|1/(9:6:5:4)]] | |||
| | |||
|- | |- | ||
| 92 | |||
| | | 0–11–14–17 | ||
| | | 1–9/8–7/5–9/5 | ||
| | | | Marvel | ||
| | |||
| | |||
|- | |- | ||
| 93 | |||
| | | 0–12–14–17 | ||
| | | 1–9/8–18/11–9/5 | ||
| | | | Utonal | ||
| | |||
| | |||
|} | |} | ||
=Pentads= | == Pentads == | ||
{| class="wikitable center-1" | |||
{| class="wikitable" | |||
|- | |- | ||
! # | |||
! Generators | |||
! Transversal | |||
! Type | |||
! Comment | |||
|- | |- | ||
| 1 | |||
| | | 0–1–2–3–8 | ||
| | | 1–7/6–11/8–8/5–7/4 | ||
| | | | Orwell | ||
| | |||
|- | |- | ||
| 2 | |||
| | | 0–2–3–5–8 | ||
| | | 1–11/10–11/8–8/5–7/4 | ||
| | | | Orwell | ||
| | |||
|- | |- | ||
| 3 | |||
| | | 0–1–3–6–8 | ||
| | | 1–7/6–9/7–8/5–7/4 | ||
| | | | Orwell | ||
| | |||
|- | |- | ||
| 4 | |||
| | | 0–3–5–6–8 | ||
| | | 1–11/10–9/7–8/5–7/4 | ||
| | | | Orwell | ||
| | |||
|- | |- | ||
| 5 | |||
| | | 0–1–2–7–8 | ||
| | | 1–7/6–11/8–3/2–7/4 | ||
| | | | Big brother | ||
| | |||
|- | |- | ||
| 6 | |||
| | | 0–2–5–7–8 | ||
| | | 1–11/10–11/8–3/2–7/4 | ||
| | | | Orwell | ||
| | |||
|- | |- | ||
| 7 | |||
| | | 0–1–6–7–8 | ||
| | | 1–7/6–9/7–3/2–7/4 | ||
| | | | Big brother | ||
| | |||
|- | |- | ||
| 8 | |||
| | | 0–5–6–7–8 | ||
| | | 1–11/10–9/7–3/2–7/4 | ||
| | | | Orwell | ||
| | |||
|- | |- | ||
| 9 | |||
| | | 0–2–3–5–10 | ||
| | | 1–11/10–6/5–11/8–8/5 | ||
| | | | Zeus | ||
| | |||
|- | |- | ||
| 10 | |||
| | | 0–2–5–7–10 | ||
| | | 1–11/10–6/5–11/8–3/2 | ||
| | | | Zeus | ||
| | |||
|- | |- | ||
| 11 | |||
| | | 0–2–3–8–10 | ||
| | | 1–6/5–11/8–8/5–7/4 | ||
| | | | Orwell | ||
| | |||
|- | |- | ||
| 12 | |||
| | | 0–2–5–8–10 | ||
| | | 1–11/10–6/5–11/8–7/4 | ||
| | | | Orwell | ||
| | |||
|- | |- | ||
| 13 | |||
| | | 0–3–5–8–10 | ||
| | | 1–6/5–11/10–8/5–7/4 | ||
| | | | Zeus | ||
| | |||
|- | |- | ||
| 14 | |||
| | | 0–2–7–8–10 | ||
| | | 1–6/5–11/8–3/2–7/4 | ||
| | | | Orwell | ||
| | |||
|- | |- | ||
| 15 | |||
| | | 0–5–7–8–10 | ||
| | | 1–11/10–6/5–3/2–7/4 | ||
| | | | Zeus | ||
| | |||
|- | |- | ||
| 16 | |||
| | | 0–1–3–6–11 | ||
| | | 1–7/6–9/7–7/5–8/5 | ||
| | | | Orwell | ||
| | |||
|- | |- | ||
| 17 | |||
| | | 0–3–5–6–11 | ||
| | | 1–11/10–9/7–7/5 | ||
| | | | Orwell | ||
| | |||
|- | |- | ||
| 18 | |||
| | | 0–1–3–8–11 | ||
| | | 1–7/6–7/5–8/5–7/4 | ||
| | | | Zeus | ||
| | |||
|- | |- | ||
| 19 | |||
| | | 0–3–5–8–11 | ||
| | | 1–11/10–8/5–7/5–7/4 | ||
| | | | Minerva | ||
| | |||
|- | |- | ||
| 20 | |||
| | | 0–1–6–8–11 | ||
| | | 1–7/6–14/11–7/5–7/4 | ||
| | | | Utonal | ||
| [[770:924:1155:1320:1680|1/(24:20:16:14:11)]] | |||
|- | |- | ||
| 21 | |||
| | | 0–3–6–8–11 | ||
| | | 1–9/7–7/5–8/5–7/4 | ||
| | | | Minerva | ||
| | |||
|- | |- | ||
| 22 | |||
| | | 0–5–6–8–11 | ||
| | | 1–11/10–9/7–7/5–7/4 | ||
| | | | Orwell | ||
| | |||
|- | |- | ||
| 23 | |||
| | | 0–3–5–10–11 | ||
| | | 1–11/10–6/5–7/5–8/5 | ||
| | | | Otonal | ||
| [[4:5:6:7:11]] | |||
|- | |- | ||
| 24 | |||
| | | 0–3–8–10–11 | ||
| | | 1–6/5–7/5–8/5–7/4 | ||
| | | | Zeus | ||
| | |||
|- | |- | ||
| 25 | |||
| | | 0–5–8–10–11 | ||
| | | 1–11/10–6/5–7/5–7/4 | ||
| | | | Orwell | ||
| | |||
|- | |- | ||
| 26 | |||
| | | 0–1–2–7–12 | ||
| | | 1–7/6–11/8–3/2–18/11 | ||
| | | | Big brother | ||
| | |||
|- | |- | ||
| 27 | |||
| | | 0–2–5–7–12 | ||
| | | 1–11/10–11/8–3/2–18/11 | ||
| | | | Biyatismic | ||
| | |||
|- | |- | ||
| 28 | |||
| | | 0–1–6–7–12 | ||
| | | 1–7/6–9/7–3/2–18/11 | ||
| | | | Big brother | ||
| | |||
|- | |- | ||
| 29 | |||
| | | 0–5–6–7–12 | ||
| | | 1–11/10–9/7–3/2–18/11 | ||
| | | | Big brother | ||
| | |||
|- | |- | ||
| 30 | |||
| | | 0–2–5–10–12 | ||
| | | 1–11/10–6/5–11/8–18/11 | ||
| | | | Zeus | ||
| | |||
|- | |- | ||
| 31 | |||
| | | 0–2–7–10–12 | ||
| | | 1–6/5–11/8–3/2–18/11 | ||
| | | | Zeus | ||
| | |||
|- | |- | ||
| 32 | |||
| | | 0–5–7–10–12 | ||
| | | 1–11/10–6/5–3/2–18/11 | ||
| | | | Biyatismic | ||
| | |||
|- | |- | ||
| 33 | |||
| | | 0–1–6–11–12 | ||
| | | 1–7/6–9/7–7/5–18/11 | ||
| | | | Big brother | ||
| | |||
|- | |- | ||
| 34 | |||
| | | 0–5–6–11–12 | ||
| | | 1–11/10–9/7–7/5–18/11 | ||
| | | | Big brother | ||
| | |||
|- | |- | ||
| 35 | |||
| | | 0–5–10–11–12 | ||
| | | 1–11/10–6/5–7/5–18/11 | ||
| | | | Big brother | ||
| | |||
|- | |- | ||
| 36 | |||
| | | 0–2–3–8–14 | ||
| | | 1–9/8–11/8–8/5–7/4 | ||
| | | | Orwell | ||
| | |||
|- | |- | ||
| 37 | |||
| | | 0–3–6–8–14 | ||
| | | 1–9/8–9/7–8/5–7/4 | ||
| | | | Minerva | ||
| | |||
|- | |- | ||
| 38 | |||
| | | 0–2–7–8–14 | ||
| | | 1–11/8–3/2–7/4–9/8 | ||
| | | | Otonal | ||
| [[4:6:7:9:11]] | |||
|- | |- | ||
| 39 | |||
| | | 0–6–7–8–14 | ||
| | | 1–9/8–9/7–3/2–7/4 | ||
| | | | Mothwellsmic | ||
| | |||
|- | |- | ||
| 40 | |||
| | | 0–3–6–11–14 | ||
| | | 1–9/8–9/7–7/5–8/5 | ||
| | | | Minerva | ||
| | |||
|- | |- | ||
| 41 | |||
| | | 0–3–8–11–14 | ||
| | | 1–9/8–7/5–8/5–7/4 | ||
| | | | Minerva | ||
| | |||
|- | |- | ||
| 42 | |||
| | | 0–6–8–11–14 | ||
| | | 1–9/8–9/7–7/5–7/4 | ||
| | | | Minerva | ||
| | |||
|- | |- | ||
| 43 | |||
| | | 0–2–7–12–14 | ||
| | | 1–9/8–11/8–3/2–18/11 | ||
| | | | Biyatismic | ||
| | |||
|- | |- | ||
| 44 | |||
| | | 0–6–7–12–14 | ||
| | | 1–9/8–9/7–3/2–18/11 | ||
| | | | Utonal | ||
| [[462:693:792:1008:1232|1/(24:16:14:11:9)]] | |||
|- | |- | ||
| 45 | |||
| | | 0–6–11–12–14 | ||
| | | 1–9/8–9/7–7/5–18/11 | ||
| | | | Orwell | ||
| | |||
|- | |- | ||
| 46 | |||
| | | 0–3–5–6–17 | ||
| | | 1–11/10–9/7–8/5–9/5 | ||
| | | | Marvel11 | ||
| | |||
|- | |- | ||
| 47 | |||
| | | 0–5–6–7–17 | ||
| | | 1–11/10–9/7–3/2–9/5 | ||
| | | | Big brother | ||
| | |||
|- | |- | ||
| 48 | |||
| | | 0–3–5–10–17 | ||
| | | 1–11/10–6/5–8/5–9/5 | ||
| | | | Otonal | ||
| [[4:5:6:9:11]] | |||
|- | |- | ||
| 49 | |||
| | | 0–5–7–10–17 | ||
| | | 1–11/10–6/5–3/2–9/5 | ||
| | | | Biyatismic | ||
| | |||
|- | |- | ||
| 50 | |||
| | | 0–3–5–11–17 | ||
| | | 1–11/10–7/5–8/5–9/5 | ||
| | | | Otonal | ||
| [[4:5:7:9:11]] | |||
|- | |- | ||
| 51 | |||
| | | 0–3–6–11–17 | ||
| | | 1–9/7–7/5–8/5–9/5 | ||
| | | | Minerva | ||
| | |||
|- | |- | ||
| 52 | |||
| | | 0–5–6–11–17 | ||
| | | 1–11/10–9/7–7/5–9/5 | ||
| | | | Big brother | ||
| | |||
|- | |- | ||
| 53 | |||
| | | 0–3–10–11–17 | ||
| | | 1–6/5–7/5–8/5–9/5 | ||
| | | | Otonal | ||
| [[4:5:6:7:9]] | |||
|- | |- | ||
| 54 | |||
| | | 0–5–10–11–17 | ||
| | | 1–11/10–6/5–7/5–9/5 | ||
| | | | Otonal | ||
| [[5:6:7:9:11]] | |||
|- | |- | ||
| 55 | |||
| | | 0–5–6–12–17 | ||
| | | 1–11/10–9/7–18/11–9/5 | ||
| | | | Big brother | ||
| | |||
|- | |- | ||
| 56 | |||
| | | 0–5–7–12–17 | ||
| | | 1–11/10–3/2–18/11–9/5 | ||
| | | | Biyatismic | ||
| | |||
|- | |- | ||
| 57 | |||
| | | 0–6–7–12–17 | ||
| | | 1–9/7–3/2–18/11–9/5 | ||
| | | | Utonal | ||
| [[1155:1386:1980:2520:3080|1/(24:20:14:11:9)]] | |||
|- | |- | ||
| 58 | |||
| | | 0–5–10–12–17 | ||
| | | 1–11/10–6/5–18/11–9/5 | ||
| | | | Biyatismic | ||
| | |||
|- | |- | ||
| 59 | |||
| | | 0–7–10–12–17 | ||
| | | 1–6/5–3/2–18/11–9/5 | ||
| | | | Biyatismic | ||
| | |||
|- | |- | ||
| 60 | |||
| | | 0–5–11–12–17 | ||
| | | 1–11/10–7/5–18/11–9/5 | ||
| | | | Big brother | ||
| | |||
|- | |- | ||
| 61 | |||
| | | 0–6–11–12–17 | ||
| | | 1–9/7–7/5–18/11–9/5 | ||
| | | | Big brother | ||
| | |||
|- | |- | ||
| 62 | |||
| | | 0–10–11–12–17 | ||
| | | 1–6/5–7/5–18/11–9/5 | ||
| | | | Big brother | ||
| | |||
|- | |- | ||
| 63 | |||
| | | 0–3–6–14–17 | ||
| | | 1–9/8–9/7–8/5–9/5 | ||
| | | | Marvel | ||
| | |||
|- | |- | ||
| 64 | |||
| | | 0–6–7–14–17 | ||
| | | 1–9/8–9/7–3/2–9/5 | ||
| | | | Utonal | ||
| [[210:252:315:360:560|1/(24:20:16:14:9)]] | |||
|- | |- | ||
| 65 | |||
| | | 0–3–11–14–17 | ||
| | | 1–9/8–7/5–8/5–9/5 | ||
| | | | Marvel | ||
| | |||
|- | |- | ||
| 66 | |||
| | | 0–6–11–14–17 | ||
| | | 1–9/8–9/7–7/5–9/5 | ||
| | | | Minerva | ||
| | |||
|- | |- | ||
| 67 | |||
| | | 0–6–12–14–17 | ||
| | | 1–9/8–9/7–18/11–9/5 | ||
| | | | Utonal | ||
| [[924:1155:1320:2016:2464|1/(20:16:14:11:9)]] | |||
|- | |- | ||
| 68 | |||
| | | 0–7–12–14–17 | ||
| | | 1–9/8–3/2–18/11–9/5 | ||
| | | | Utonal | ||
| [[330:396:495:720:880|1/(24:20:16:11:9)]] | |||
|- | |- | ||
| 69 | |||
| | | 0–11–12–14–17 | ||
| | | 1–9/8–7/5–18/11–9/5 | ||
| | | | Marvel11 | ||
| | |||
|} | |} | ||
=Hexads= | == Hexads == | ||
{| class="wikitable center-1" | |||
{| class="wikitable" | |||
|- | |- | ||
! # | |||
! Generators | |||
! Transversal | |||
! Type | |||
! Comment | |||
|- | |- | ||
| 1 | |||
| | | 0–2–3–5–8–10 | ||
| | | 1–11/10–6/5–11/8–8/5–7/4 | ||
| | | | Orwell | ||
| | |||
|- | |- | ||
| 2 | |||
| | | 0–2–5–7–8–10 | ||
| | | 1–11/10–6/5–11/8–3/2–7/4 | ||
| | | | Orwell | ||
| | |||
|- | |- | ||
| 3 | |||
| | | 0–1–3–6–8–11 | ||
| | | 1–7/6–9/7–7/5–8/5–7/4 | ||
| | | | Orwell | ||
| | |||
|- | |- | ||
| 4 | |||
| | | 0–3–5–6–8–11 | ||
| | | 1–11/10–9/7–7/5–8/5–7/4 | ||
| | | | Orwell | ||
| | |||
|- | |- | ||
| 5 | |||
| | | 0–3–5–8–10–11 | ||
| | | 1–11/10–6/5–7/5–8/5–7/4 | ||
| | | | Orwell | ||
| | |||
|- | |- | ||
| 6 | |||
| | | 0–2–5–7–10–12 | ||
| | | 1–11/10–6/5–11/8–3/2–18/11 | ||
| | | | Zeus | ||
| | |||
|- | |- | ||
| 7 | |||
| | | 0–3–6–8–11–14 | ||
| | | 1–9/8–9/7–7/5–8/5–7/4 | ||
| | | | Minerva | ||
| | |||
|- | |- | ||
| 8 | |||
| | | 0–3–5–6–11–17 | ||
| | | 1–11/10–9/7–7/5–8/5–9/5 | ||
| | | | Orwell | ||
| | |||
|- | |- | ||
| 9 | |||
| | | 0–3–5–10–11–17 | ||
| | | 1–11/10–6/5–7/5–8/5–9/5 | ||
| | | | Otonal | ||
| [[4:5:6:7:9:11]] | |||
|- | |- | ||
| 10 | |||
| | | 0–5–6–7–12–17 | ||
| | | 1–11/10–9/7–3/2–18/11–9/5 | ||
| | | | Big brother | ||
| | |||
|- | |- | ||
| 11 | |||
| | | 0–5–7–10–12–17 | ||
| | | 1–11/10–6/5–3/2–18/11–9/5 | ||
| | | | Biyatismic | ||
| | |||
|- | |- | ||
| 12 | |||
| | | 0–5–6–11–12–17 | ||
| | | 1–11/10–9/7–7/5–18/11–9/5 | ||
| | | | Big brother | ||
| | |||
|- | |- | ||
| 13 | |||
| | | 0–5–10–11–12–17 | ||
| | | 1–11/10–6/5–7/5–18/11–9/5 | ||
| | | | Big brother | ||
| | |||
|- | |- | ||
| 14 | |||
| | | 0–3–6–11–14–17 | ||
| | | 1–9/8–9/7–7/5–8/5–9/5 | ||
| | | | Minerva | ||
| | |||
|- | |- | ||
| 15 | |||
| | | 0–6–7–12–14–17 | ||
| | | 1–9/8–9/7–3/2–18/11–9/5 | ||
| | | | Utonal | ||
| [[2310:2772:3465:3960:5040:6160|1/(24:20:16:14:11:9)]] | |||
|- | |- | ||
| 16 | |||
| | | 0–6–11–12–14–17 | ||
| | | 1–9/8–9/7–7/5–18/11–9/5 | ||
| | | | Orwell | ||
| | |||
|} | |} | ||
[[Category:Lists of chords]] | |||
[[Category:Dyadic chords]] | |||
[[Category:11-limit]] | |||
[[Category:Orwell]] | |||
[[Category:Triads]] | |||
[[Category:Tetrads]] | |||
[[Category:Pentads]] | |||
[[Category:Hexads]] | |||