Chords of orwell: Difference between revisions
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| Line 12: | Line 12: | ||
! Transversal | ! Transversal | ||
! Type | ! Type | ||
! | ! Comment | ||
|- | |- | ||
| 1 | | 1 | ||
| Line 21: | Line 18: | ||
| 1–7/6–11/8 | | 1–7/6–11/8 | ||
| Mothwellsmic | | Mothwellsmic | ||
| | | | ||
|- | |- | ||
| 2 | | 2 | ||
| Line 30: | Line 24: | ||
| 1–7/6–8/5 | | 1–7/6–8/5 | ||
| Keenanismic | | Keenanismic | ||
| | | | ||
|- | |- | ||
| 3 | | 3 | ||
| Line 39: | Line 30: | ||
| 1–11/8–8/5 | | 1–11/8–8/5 | ||
| Keenanismic | | Keenanismic | ||
| | | | ||
|- | |- | ||
| 4 | | 4 | ||
| 0–2–5 | | 0–2–5 | ||
| 1–11/ | | 1–11/10–11/8 | ||
| Utonal | | Utonal | ||
| | | | ||
|- | |- | ||
| 5 | | 5 | ||
| 0–3–5 | | 0–3–5 | ||
| | | 1–11/10–8/5 | ||
| Otonal | | Otonal | ||
| | | | ||
|- | |- | ||
| 6 | | 6 | ||
| Line 66: | Line 48: | ||
| 1–7/6–14/11 | | 1–7/6–14/11 | ||
| Utonal | | Utonal | ||
| | | | ||
|- | |- | ||
| 7 | | 7 | ||
| 0–3–6 | | 0–3–6 | ||
| | | 1–9/7–8/5 | ||
| Marvel | | Marvel | ||
| | | | ||
|- | |- | ||
| 8 | | 8 | ||
| Line 84: | Line 60: | ||
| 1–12/11–14/11 | | 1–12/11–14/11 | ||
| Otonal | | Otonal | ||
| | | | ||
|- | |- | ||
| 9 | | 9 | ||
| Line 93: | Line 66: | ||
| 1–7/6–3/2 | | 1–7/6–3/2 | ||
| Otonal | | Otonal | ||
| | | [[6:7:9]] | ||
|- | |- | ||
| 10 | | 10 | ||
| Line 102: | Line 72: | ||
| 1–11/8–3/2 | | 1–11/8–3/2 | ||
| Otonal | | Otonal | ||
| | | | ||
|- | |- | ||
| 11 | | 11 | ||
| Line 111: | Line 78: | ||
| 1–12/11–3/2 | | 1–12/11–3/2 | ||
| Utonal | | Utonal | ||
| | | | ||
|- | |- | ||
| 12 | | 12 | ||
| Line 120: | Line 84: | ||
| 1–9/7–3/2 | | 1–9/7–3/2 | ||
| Utonal | | Utonal | ||
| | | [[14:18:21|1/(9:7:6)]] | ||
| | |||
|- | |- | ||
| 13 | | 13 | ||
| Line 129: | Line 90: | ||
| 1–7/6–7/4 | | 1–7/6–7/4 | ||
| Utonal | | Utonal | ||
| | | [[14:21:24|1/(12:8:7)]] | ||
| | |||
|- | |- | ||
| 14 | | 14 | ||
| Line 138: | Line 96: | ||
| 1–11/8–7/4 | | 1–11/8–7/4 | ||
| Otonal | | Otonal | ||
| | | | ||
|- | |- | ||
| 15 | | 15 | ||
| Line 147: | Line 102: | ||
| 1–8/5–7/4 | | 1–8/5–7/4 | ||
| Valinorsmic | | Valinorsmic | ||
| | | | ||
|- | |- | ||
| 16 | | 16 | ||
| Line 156: | Line 108: | ||
| 1–11/10–7/4 | | 1–11/10–7/4 | ||
| Valinorsmic | | Valinorsmic | ||
| | | | ||
|- | |- | ||
| 17 | | 17 | ||
| Line 165: | Line 114: | ||
| 1–14/11–7/4 | | 1–14/11–7/4 | ||
| Utonal | | Utonal | ||
| | | | ||
|- | |- | ||
| 18 | | 18 | ||
| Line 174: | Line 120: | ||
| 1–3/2–7/4 | | 1–3/2–7/4 | ||
| Otonal | | Otonal | ||
| | | [[4:6:7]] | ||
|- | |- | ||
| 19 | | 19 | ||
| 0–2–10 | | 0–2–10 | ||
| | | 1–6/5–11/8 | ||
| Keenanismic | | Keenanismic | ||
| | | | ||
|- | |- | ||
| 20 | | 20 | ||
| 0–3–10 | | 0–3–10 | ||
| | | 1–6/5–8/5 | ||
| Otonal | | Otonal | ||
| | | [[4:5:6]] | ||
|- | |- | ||
| 21 | | 21 | ||
| Line 201: | Line 138: | ||
| 1–11/10–6/5 | | 1–11/10–6/5 | ||
| Otonal | | Otonal | ||
| | | | ||
|- | |- | ||
| 22 | | 22 | ||
| 0–7–10 | | 0–7–10 | ||
| | | 1–6/5–3/2 | ||
| Utonal | | Utonal | ||
| | | [[10:12:15|1/(6:5:4)]] | ||
| | |||
|- | |- | ||
| 23 | | 23 | ||
| 0–8–10 | | 0–8–10 | ||
| | | 1–6/5–7/4 | ||
| Keenanismic | | Keenanismic | ||
| | | | ||
|- | |- | ||
| 24 | | 24 | ||
| Line 228: | Line 156: | ||
| 1–7/6–7/5 | | 1–7/6–7/5 | ||
| Utonal | | Utonal | ||
| | | [[30:35:42|1/(7:6:5)]] | ||
| | |||
|- | |- | ||
| 25 | | 25 | ||
| 0–3–11 | | 0–3–11 | ||
| | | 1–7/5–8/5 | ||
| Otonal | | Otonal | ||
| | | [[4:5:7]] | ||
|- | |- | ||
| 26 | | 26 | ||
| Line 246: | Line 168: | ||
| 1–11/10–7/5 | | 1–11/10–7/5 | ||
| Otonal | | Otonal | ||
| | | | ||
|- | |- | ||
| 27 | | 27 | ||
| Line 255: | Line 174: | ||
| 1–14/11–7/5 | | 1–14/11–7/5 | ||
| Utonal | | Utonal | ||
| | | | ||
|- | |- | ||
| 28 | | 28 | ||
| 0–8–11 | | 0–8–11 | ||
| 1–7/ | | 1–7/5–7/4 | ||
| Utonal | | Utonal | ||
| | | [[28:35:40|1/(10:8:7)]] | ||
| | |||
|- | |- | ||
| 29 | | 29 | ||
| Line 273: | Line 186: | ||
| 1–6/5–7/5 | | 1–6/5–7/5 | ||
| Otonal | | Otonal | ||
| | | [[5:6:7]] | ||
|- | |- | ||
| 30 | | 30 | ||
| Line 282: | Line 192: | ||
| 1–7/6–18/11 | | 1–7/6–18/11 | ||
| Swetismic | | Swetismic | ||
| | | | ||
|- | |- | ||
| 31 | | 31 | ||
| Line 291: | Line 198: | ||
| 1–11/8–18/11 | | 1–11/8–18/11 | ||
| Biyatismic | | Biyatismic | ||
| | | | ||
|- | |- | ||
| 32 | | 32 | ||
| Line 300: | Line 204: | ||
| 1–12/11–18/11 | | 1–12/11–18/11 | ||
| Otonal | | Otonal | ||
| | | | ||
|- | |- | ||
| 33 | | 33 | ||
| Line 309: | Line 210: | ||
| 1–9/7–18/11 | | 1–9/7–18/11 | ||
| Utonal | | Utonal | ||
| | | | ||
|- | |- | ||
| 34 | | 34 | ||
| Line 318: | Line 216: | ||
| 1–3/2–18/11 | | 1–3/2–18/11 | ||
| Utonal | | Utonal | ||
| | | | ||
|- | |- | ||
| 35 | | 35 | ||
| Line 327: | Line 222: | ||
| 1–6/5–18/11 | | 1–6/5–18/11 | ||
| Biyatismic | | Biyatismic | ||
| | | | ||
|- | |- | ||
| 36 | | 36 | ||
| Line 336: | Line 228: | ||
| 1–7/5–18/11 | | 1–7/5–18/11 | ||
| Swetismic | | Swetismic | ||
| | | | ||
|- | |- | ||
| 37 | | 37 | ||
| 0–2–14 | | 0–2–14 | ||
| | | 1–9/8–11/8 | ||
| Otonal | | Otonal | ||
| | | | ||
|- | |- | ||
| 38 | | 38 | ||
| 0–3–14 | | 0–3–14 | ||
| | | 1–9/8–8/5 | ||
| Marvel | | Marvel | ||
| | | | ||
|- | |- | ||
| 39 | | 39 | ||
| 0–6–14 | | 0–6–14 | ||
| 1–9/ | | 1–9/8–9/7 | ||
| Utonal | | Utonal | ||
| | | | ||
|- | |- | ||
| 40 | | 40 | ||
| 0–7–14 | | 0–7–14 | ||
| | | 1–9/8–3/2 | ||
| Ambitonal | | Ambitonal | ||
| | | [[6:8:9]], [[8:9:12]] | ||
|- | |- | ||
| 41 | | 41 | ||
| 0–8–14 | | 0–8–14 | ||
| | | 1–9/8–7/4 | ||
| Otonal | | Otonal | ||
| | | | ||
|- | |- | ||
| 42 | | 42 | ||
| 0–11–14 | | 0–11–14 | ||
| | | 1–9/8–7/5 | ||
| Marvel | | Marvel | ||
| | | | ||
|- | |- | ||
| 43 | | 43 | ||
| 0–12–14 | | 0–12–14 | ||
| | | 1–9/8–18/11 | ||
| Utonal | | Utonal | ||
| | | | ||
|- | |- | ||
| 44 | | 44 | ||
| Line 408: | Line 276: | ||
| 1–8/5–9/5 | | 1–8/5–9/5 | ||
| Otonal | | Otonal | ||
| | | | ||
|- | |- | ||
| 45 | | 45 | ||
| Line 417: | Line 282: | ||
| 1–11/10–9/5 | | 1–11/10–9/5 | ||
| Otonal | | Otonal | ||
| | | | ||
|- | |- | ||
| 46 | | 46 | ||
| Line 426: | Line 288: | ||
| 1–9/7–9/5 | | 1–9/7–9/5 | ||
| Utonal | | Utonal | ||
| | | | ||
|- | |- | ||
| 47 | | 47 | ||
| Line 435: | Line 294: | ||
| 1–3/2–9/5 | | 1–3/2–9/5 | ||
| Utonal | | Utonal | ||
| | | [[10:15:18|1/(9:6:5)]] | ||
| | |||
|- | |- | ||
| 48 | | 48 | ||
| Line 444: | Line 300: | ||
| 1–6/5–9/5 | | 1–6/5–9/5 | ||
| Otonal | | Otonal | ||
| | | [[6:9:10]] | ||
|- | |- | ||
| 49 | | 49 | ||
| Line 453: | Line 306: | ||
| 1–7/5–9/5 | | 1–7/5–9/5 | ||
| Otonal | | Otonal | ||
| | | | ||
|- | |- | ||
| 50 | | 50 | ||
| Line 462: | Line 312: | ||
| 1–18/11–9/5 | | 1–18/11–9/5 | ||
| Utonal | | Utonal | ||
| | | | ||
|- | |- | ||
| 51 | | 51 | ||
| Line 471: | Line 318: | ||
| 1–9/8–9/5 | | 1–9/8–9/5 | ||
| Utonal | | Utonal | ||
| | | | ||
|} | |} | ||
Revision as of 08:38, 24 January 2026
Below are listed the 11-odd-limit dyadic chords of 11-limit 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, by 99/98 mothwellsmic, by 121/120 biyatismic, by 176/175 valinorsmic, by 385/384 keenanismic, and by 540/539 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, 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.
Triads
| # | 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 | 1/(9:7:6) |
| 13 | 0–1–8 | 1–7/6–7/4 | Utonal | 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 | 1–6/5–3/2 | Utonal | 1/(6:5:4) |
| 23 | 0–8–10 | 1–6/5–7/4 | Keenanismic | |
| 24 | 0–1–11 | 1–7/6–7/5 | Utonal | 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 | 1–7/5–7/4 | Utonal | 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 | 1–3/2–9/5 | Utonal | 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
| # | Chord | Transversal | Type | |
|---|---|---|---|---|
| 1 | 0–1–2–3 | 1–7/6–11/8–8/5 | Orwellian | |
| 2 | 0–2–3–5 | 1–11/8–8/5–11/10 | Keenanismic | |
| 3 | 0–1–3–6 | 1–7/6–8/5–9/7 | Unimarvel | |
| 4 | 0–3–5–6 | 1–8/5–11/10–9/7 | Unimarvel | |
| 5 | 0–1–2–7 | 1–7/6–11/8–3/2 | Big brother | |
| 6 | 0–2–5–7 | 1–11/8–11/10–3/2 | Biyatismic | |
| 7 | 0–1–6–7 | 1–7/6–9/7–3/2 | Swetismic | |
| 8 | 0–5–6–7 | 1–11/10–9/7–3/2 | Big brother | |
| 9 | 0–1–2–8 | 1–7/6–11/8–7/4 | Mothwellsmic | |
| 10 | 0–1–3–8 | 1–7/6–8/5–7/4 | Zeus | |
| 11 | 0–2–3–8 | 1–11/8–8/5–7/4 | Orwell | |
| 12 | 0–2–5–8 | 1–11/8–11/10–7/4 | Minerva | |
| 13 | 0–3–5–8 | 1–8/5–11/10–7/4 | Valinorsmic | |
| 14 | 0–1–6–8 | 1–7/6–14/11–7/4 | Utonal | |
| 15 | 0–3–6–8 | 1–8/5–9/7–7/4 | 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 | |
| 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 | 1–11/8–8/5–6/5 | Keenanismic | |
| 22 | 0–2–5–10 | 1–11/8–11/10–6/5 | Zeus | |
| 23 | 0–3–5–10 | 1–8/5–11/10–6/5 | Otonal | |
| 24 | 0–2–7–10 | 1–11/8–3/2–6/5 | Zeus | |
| 25 | 0–5–7–10 | 1–12/11–3/2–6/5 | Utonal | |
| 26 | 0–2–8–10 | 1–11/8–7/4–6/5 | Orwellian | |
| 27 | 0–3–8–10 | 1–8/5–7/4–6/5 | Zeus | |
| 28 | 0–5–8–10 | 1–11/10–7/4–6/5 | Zeus | |
| 29 | 0–7–8–10 | 1–3/2–7/4–6/5 | Keenanismic | |
| 30 | 0–1–3–11 | 1–7/6–8/5–7/5 | Keenanismic | |
| 31 | 0–3–5–11 | 1–8/5–11/10–7/5 | Otonal | |
| 32 | 0–1–6–11 | 1–7/6–14/11–7/5 | Utonal | |
| 33 | 0–3–6–11 | 1–8/5–9/7–7/5 | Minerva | |
| 34 | 0–5–6–11 | 1–11/10–9/7–7/5 | Big brother | |
| 35 | 0–1–8–11 | 1–7/6–7/4–7/5 | Utonal | |
| 36 | 0–3–8–11 | 1–8/5–7/4–7/5 | Valinorsmic | |
| 37 | 0–5–8–11 | 1–11/10–7/4–7/5 | Minerva | |
| 38 | 0–6–8–11 | 1–14/11–7/4–7/5 | Utonal | |
| 39 | 0–3–10–11 | 1–8/5–6/5–7/5 | Otonal | |
| 40 | 0–5–10–11 | 1–11/10–6/5–7/5 | Otonal | |
| 41 | 0–8–10–11 | 1–7/4–6/5–7/5 | Keenanismic | |
| 42 | 0–1–2–12 | 1–7/6–11/8–18/11 | Big brother | |
| 43 | 0–2–5–12 | 1–11/8–11/10–18/11 | 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 | |
| 49 | 0–6–7–12 | 1–9/7–3/2–18/11 | Utonal | |
| 50 | 0–2–10–12 | 1–11/8–6/5–18/11 | Zeus | |
| 51 | 0–5–10–12 | 1–11/10–6/5–18/11 | Biyatismic | |
| 52 | 0–7–10–12 | 1–3/2–6/5–18/11 | 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 | 1–11/8–8/5–9/8 | Unimarvel | |
| 58 | 0–3–6–14 | 1–8/5–9/7–9/8 | Marvel | |
| 59 | 0–2–7–14 | 1–11/8–3/2–9/8 | Otonal | |
| 60 | 0–6–7–14 | 1–9/7–3/2–9/8 | Utonal | |
| 61 | 0–2–8–14 | 1–11/8–7/4–9/8 | Otonal | |
| 62 | 0–3–8–14 | 1–8/5–7/4–9/8 | Minerva | |
| 63 | 0–6–8–14 | 1–9/7–7/4–9/8 | Mothwellsmic | |
| 64 | 0–7–8–14 | 1–3/2–7/4–9/8 | Otonal | |
| 65 | 0–3–11–14 | 1–8/5–7/5–9/8 | Marvel | |
| 66 | 0–6–11–14 | 1–9/7–7/5–9/8 | Minerva | |
| 67 | 0–8–11–14 | 1–7/4–7/5–9/8 | Marvel | |
| 68 | 0–2–12–14 | 1–11/8–18/11–9/8 | Biyatismic | |
| 69 | 0–6–12–14 | 1–9/7–18/11–9/8 | Utonal | |
| 70 | 0–7–12–14 | 1–3/2–18/11–9/8 | Utonal | |
| 71 | 0–11–12–14 | 1–7/5–18/11–9/8 | Unimarvel | |
| 72 | 0–3–5–17 | 1–8/5–11/10–9/5 | Otonal | |
| 73 | 0–3–6–17 | 1–8/5–9/7–9/5 | 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 | |
| 77 | 0–3–10–17 | 1–8/5–6/5–9/5 | Otonal | |
| 78 | 0–5–10–17 | 1–11/10–6/5–9/5 | Otonal | |
| 79 | 0–7–10–17 | 1–3/2–6/5–9/5 | Ambitonal | |
| 80 | 0–3–11–17 | 1–8/5–7/5–9/5 | Otonal | |
| 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 | |
| 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 | 1–8/5–9/8–9/5 | Marvel | |
| 90 | 0–6–14–17 | 1–9/7–9/8–9/5 | Utonal | |
| 91 | 0–7–14–17 | 1–3/2–9/8–9/5 | Utonal | |
| 92 | 0–11–14–17 | 1–7/5–9/8–9/5 | Marvel | |
| 93 | 0–12–14–17 | 1–18/11–9/8–9/5 | Utonal |
Pentads
| # | Chord | Transversal | Type |
|---|---|---|---|
| 1 | 0–1–2–3–8 | 1–7/6–11/8–8/5–7/4 | Orwell |
| 2 | 0–2–3–5–8 | 1–11/8–8/5–11/10–7/4 | Orwell |
| 3 | 0–1–3–6–8 | 1–7/6–8/5–9/7–7/4 | Orwell |
| 4 | 0–3–5–6–8 | 1–8/5–11/10–9/7–7/4 | Orwell |
| 5 | 0–1–2–7–8 | 1–7/6–11/8–3/2–7/4 | Big brother |
| 6 | 0–2–5–7–8 | 1–11/8–11/10–3/2–7/4 | 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 | 1–11/8–8/5–11/10–6/5 | Zeus |
| 10 | 0–2–5–7–10 | 1–11/8–11/10–3/2–6/5 | Zeus |
| 11 | 0–2–3–8–10 | 1–11/8–8/5–7/4–6/5 | Orwell |
| 12 | 0–2–5–8–10 | 1–11/8–11/10–7/4–6/5 | Orwell |
| 13 | 0–3–5–8–10 | 1–8/5–11/10–7/4–6/5 | Zeus |
| 14 | 0–2–7–8–10 | 1–11/8–3/2–7/4–6/5 | Orwell |
| 15 | 0–5–7–8–10 | 1–11/10–3/2–7/4–6/5 | Zeus |
| 16 | 0–1–3–6–11 | 1–7/6–8/5–9/7–7/5 | Orwell |
| 17 | 0–3–5–6–11 | 1–8/5–11/10–9/7–7/5 | Orwell |
| 18 | 0–1–3–8–11 | 1–7/6–8/5–7/4–7/5 | Zeus |
| 19 | 0–3–5–8–11 | 1–8/5–11/10–7/4–7/5 | Minerva |
| 20 | 0–1–6–8–11 | 1–7/6–14/11–7/4–7/5 | Utonal |
| 21 | 0–3–6–8–11 | 1–8/5–9/7–7/4–7/5 | Minerva |
| 22 | 0–5–6–8–11 | 1–11/10–9/7–7/4–7/5 | Orwell |
| 23 | 0–3–5–10–11 | 1–8/5–11/10–6/5–7/5 | Otonal |
| 24 | 0–3–8–10–11 | 1–8/5–7/4–6/5–7/5 | Zeus |
| 25 | 0–5–8–10–11 | 1–11/10–7/4–6/5–7/5 | Orwell |
| 26 | 0–1–2–7–12 | 1–7/6–11/8–3/2–18/11 | Big brother |
| 27 | 0–2–5–7–12 | 1–11/8–11/10–3/2–18/11 | 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 | 1–11/8–11/10–6/5–18/11 | Zeus |
| 31 | 0–2–7–10–12 | 1–11/8–3/2–6/5–18/11 | Zeus |
| 32 | 0–5–7–10–12 | 1–11/10–3/2–6/5–18/11 | 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 | 1–11/8–8/5–7/4–9/8 | Orwell |
| 37 | 0–3–6–8–14 | 1–8/5–9/7–7/4–9/8 | Minerva |
| 38 | 0–2–7–8–14 | 1–11/8–3/2–7/4–9/8 | Otonal |
| 39 | 0–6–7–8–14 | 1–9/7–3/2–7/4–9/8 | Mothwellsmic |
| 40 | 0–3–6–11–14 | 1–8/5–9/7–7/5–9/8 | Minerva |
| 41 | 0–3–8–11–14 | 1–8/5–7/4–7/5–9/8 | Minerva |
| 42 | 0–6–8–11–14 | 1–9/7–7/4–7/5–9/8 | Minerva |
| 43 | 0–2–7–12–14 | 1–11/8–3/2–18/11–9/8 | Biyatismic |
| 44 | 0–6–7–12–14 | 1–9/7–3/2–18/11–9/8 | Utonal |
| 45 | 0–6–11–12–14 | 1–9/7–7/5–18/11–9/8 | Orwell |
| 46 | 0–3–5–6–17 | 1–8/5–11/10–9/7–9/5 | Unimarvel |
| 47 | 0–5–6–7–17 | 1–11/10–9/7–3/2–9/5 | Big brother |
| 48 | 0–3–5–10–17 | 1–8/5–11/10–6/5–9/5 | Otonal |
| 49 | 0–5–7–10–17 | 1–11/10–3/2–6/5–9/5 | Biyatismic |
| 50 | 0–3–5–11–17 | 1–8/5–11/10–7/5–9/5 | Otonal |
| 51 | 0–3–6–11–17 | 1–8/5–9/7–7/5–9/5 | Minerva |
| 52 | 0–5–6–11–17 | 1–11/10–9/7–7/5–9/5 | Big brother |
| 53 | 0–3–10–11–17 | 1–8/5–6/5–7/5–9/5 | Otonal |
| 54 | 0–5–10–11–17 | 1–11/10–6/5–7/5–9/5 | Otonal |
| 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 |
| 58 | 0–5–10–12–17 | 1–11/10–6/5–18/11–9/5 | Biyatismic |
| 59 | 0–7–10–12–17 | 1–3/2–6/5–18/11–9/5 | 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 | 1–8/5–9/7–9/8–9/5 | Marvel |
| 64 | 0–6–7–14–17 | 1–9/7–3/2–9/8–9/5 | Utonal |
| 65 | 0–3–11–14–17 | 1–8/5–7/5–9/8–9/5 | Marvel |
| 66 | 0–6–11–14–17 | 1–9/7–7/5–9/8–9/5 | Minerva |
| 67 | 0–6–12–14–17 | 1–9/7–18/11–9/8–9/5 | Utonal |
| 68 | 0–7–12–14–17 | 1–3/2–18/11–9/8–9/5 | Utonal |
| 69 | 0–11–12–14–17 | 1–7/5–18/11–9/8–9/5 | Unimarvel |
Hexads
| # | Chord | Transversal | Type |
|---|---|---|---|
| 1 | 0–2–3–5–8–10 | 1–11/8–8/5–11/10–7/4–6/5 | Orwell |
| 2 | 0–2–5–7–8–10 | 1–11/8–11/10–3/2–7/4–6/5 | Orwell |
| 3 | 0–1–3–6–8–11 | 1–7/6–8/5–9/7–7/4–7/5 | Orwell |
| 4 | 0–3–5–6–8–11 | 1–8/5–11/10–9/7–7/4–7/5 | Orwell |
| 5 | 0–3–5–8–10–11 | 1–8/5–11/10–7/4–6/5–7/5 | Orwell |
| 6 | 0–2–5–7–10–12 | 1–11/8–11/10–3/2–6/5–18/11 | Zeus |
| 7 | 0–3–6–8–11–14 | 1–8/5–9/7–7/4–7/5–9/8 | Minerva |
| 8 | 0–3–5–6–11–17 | 1–8/5–11/10–9/7–7/5–9/5 | Orwell |
| 9 | 0–3–5–10–11–17 | 1–8/5–11/10–6/5–7/5–9/5 | Otonal |
| 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 | 1–11/10–3/2–6/5–18/11–9/5 | 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 | 1–8/5–9/7–7/5–9/8–9/5 | Minerva |
| 15 | 0–6–7–12–14–17 | 1–9/7–3/2–18/11–9/8–9/5 | Utonal |
| 16 | 0–6–11–12–14–17 | 1–9/7–7/5–18/11–9/8–9/5 | Orwell |