User:Lucius Chiaraviglio/Musical Mad Science: Difference between revisions

{{Harmonics in equal|13|intervals=odd|prec=2|columns=28|title=[[13edo]] (L=1, s=1, ~[[16/11]] = 7) — Equalized 11L 2s}}

{{Harmonics in equal|76|intervals=odd|prec=2|columns=28|title=[[76edo]] (L=6, s=5, ~16/11 = 41)}}

{{Harmonics in equal|63|intervals=odd|prec=2|columns=28|title=[[63edo]] (L=5, s=4, ~16/11 = 34)}}

{{Harmonics in equal|113|intervals=odd|prec=2|columns=28|title=[[113edo]] (L=9, s=7, ~16/11 = 61)}}

{{Harmonics in equal|50|intervals=odd|prec=2|columns=28|title=[[50edo]] (L=4, s=3, ~16/11 = 27) — Supersoft 11L 2s}}

{{Harmonics in equal|137|intervals=odd|prec=2|columns=28|title=[[137edo]] (L=11, s=8, ~16/11 = 74)}}

{{Harmonics in equal|87|intervals=odd|prec=2|columns=28|title=[[87edo]] (L=7, s=5, ~16/11 = 47)}}

{{Harmonics in equal|124|intervals=odd|prec=2|columns=28|title=[[124edo]] (L=10, s=7, ~16/11 = 67)}}

{{Harmonics in equal|37|intervals=odd|prec=2|columns=28|title=[[37edo]] (L=3, s=2, ~16/11 is 20) — Soft 11L 2s}}

{{Harmonics in equal|135|intervals=odd|prec=2|columns=28|title=[[135edo]] (L=11, s=7, ~16/11 = 73)}}

{{Harmonics in equal|98|intervals=odd|prec=2|columns=28|title=[[98edo]] (L=8, s=5, ~16/11 = 53)}}

{{Harmonics in equal|159|intervals=odd|prec=2|columns=28|title=[[159edo]] (L=13, s=8, ~16/11 = 86)}}

{{Harmonics in equal|61|intervals=odd|prec=2|columns=28|title=[[61edo]] (L=5, s=3, ~16/11 = 33) — Semisoft 11L 2s}}

{{Harmonics in equal|146|intervals=odd|prec=2|columns=28|title=[[146edo]] (L=12, s=7, ~16/11 = 79)}}

{{Harmonics in equal|85|intervals=odd|prec=2|columns=28|title=[[85edo]] (L=7, s=4, ~16/11 = 46)}}

{{Harmonics in equal|109|intervals=odd|prec=2|columns=28|title=[[109edo]] (L=9, s=5, ~16/11 = 59)}}

{{Harmonics in equal|24|intervals=odd|prec=2|columns=28|title=[[24edo]] (L=2, s=1, ~16/11 = 13) — Basic 11L 2s}}

{{Harmonics in equal|107|intervals=odd|prec=2|columns=28|title=[[107edo]] (L=9, s=4, ~16/11 = 58)}}

{{Harmonics in equal|83|intervals=odd|prec=2|columns=28|title=[[83edo]] (L=7, s=3, ~16/11 = 45)}}

{{Harmonics in equal|142|intervals=odd|prec=2|columns=28|title=[[142edo]] (L=12, s=5, ~16/11 = 77)}}

{{Harmonics in equal|59|intervals=odd|prec=2|columns=28|title=[[59edo]] (L=5, s=2, ~16/11 = 32) — Semihard 11L 2s}}

{{Harmonics in equal|153|intervals=odd|prec=2|columns=28|title=[[153edo]] (L=13, s=5, ~16/11 = 83)}}

{{Harmonics in equal|94|intervals=odd|prec=2|columns=28|title=[[94edo]] (L=8, s=3, ~16/11 = 51)}}

{{Harmonics in equal|129|intervals=odd|prec=2|columns=28|title=[[129edo]] (L=11, s=4, ~16/11 = 70)}}

{{Harmonics in equal|35|intervals=odd|prec=2|columns=28|title=[[35edo]] (L=3, s=1, ~16/11 = 19) — Hard 11L 2s}}

{{Harmonics in equal|116|intervals=odd|prec=2|columns=28|title=[[116edo]] (L=10, s=3, ~16/11 = 63)}}

{{Harmonics in equal|81|intervals=odd|prec=2|columns=28|title=[[81edo]] (L=7, s=2, ~16/11 = 44)}}

{{Harmonics in equal|127|intervals=odd|prec=2|columns=28|title=[[127edo]] (L=11, s=3, ~16/11 = 69)}}

{{Harmonics in equal|46|intervals=odd|prec=2|columns=28|title=[[46edo]] (L=4, s=1, ~16/11 = 25) — Superhard 11L 2s}}

{{Harmonics in equal|103|intervals=odd|prec=2|columns=28|title=[[103edo]] (L=9, s=2, ~16/11 = 56)}}

{{Harmonics in equal|57|intervals=odd|prec=2|columns=28|title=[[57edo]] (L=5, s=1, ~16/11 = 31)}}

{{Harmonics in equal|68|intervals=odd|prec=2|columns=28|title=[[68edo]] (L=6, s=1, ~16/11 = 37)}}

{{Harmonics in equal|11|intervals=odd|prec=2|columns=28|title=[[11edo]] (L=1, s=0, ~16/11 = 6) — Collapsed 11L 2s}}

Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:25, 26 April 2025 (UTC)

#  As the number of L intervals in a ''n''L 2s scale grows, the range of qualifying generator sizes shrinks, and so the scale becomes more brittle to tempering of the generator, and it becomes hard to find good ratios for specifying the generator.  Considering the wider of each pair of generators, the range of [[5L 2s]] (as in [[Meantone]], [[Superpyth]], and their relatives) is very wide range — you have to have a ''bad'' fifth to land outside of its range.  The range of [[7L 2s]] is still fairly wide, going from barely over [[52/35]] down to somewhat under [[81/55]]; [[9L 2s]] is narrower, going from barely over [[25/17]] down to somewhat under [[19/13]]; [[11L 2s]] ([[Ivan Wyschnegradsky]]'s original Diatonicized Chromatic scale) brackets [[16/11]]; and the ranges get progressively narrower and the ratios more complicated until by the time we get to 19L 2s, the range falls between two ratios, the second of which is not even all that simple:  [[13/9]] and [[36/25]].  The first is too sharp by somewhat over 1{{c}}, and the second is barely too flat; although since it is near-just as 10 steps of [[19edo]], which is equalized 19L 2s, we can count it as snapping to the lower end.  It is possible to come up with more complicated ratios by mediation between these slightly out-of-bounds endpoints, such as [[75/52]] and [[49/34]], or even [[62/43]] in the middle, but the latter uses such large primes as to give difficulty (otherwise it would be very good), while the previous ratios and even 36/25 itself fail to map properly in the patent [[val]]s of some of the equal temperaments within the range of 17L 2s (this flaw of 36/25 making it tempting to use the slightly flatter [[23/16]], so before considering the next point, it seems better to specify the generator as a tempered 36/25 ~ 13/9, or perhaps even 23/16 ~ 13/9, either way with the proviso that the generator can never reach the just value of either endpoint without going out of range.  Also worthy of consideration is the generator ~[[59049/40960]] = ~|-13 10 -1⟩ of the established [[Alphatricot family]], although this only works for a narrow band in the hard to super-hard region of the 17L 2s scale tree, plus 17c.  (The Alphatricot family also has recognition of ~13/9 and ~75/52 for its 13-limit extensions.)  But the choice of generator tempering comma will need to depend upon which subgroup(s) counts as the core of this temperament, so let's not throw out any of the above intervals just yet.  (More painstaking inspection has revealed that ~23/16 or ~13/9 are usable after all in significant parts of the scale tree with only minimal use of warts, while ~62/43 is usable throughout again with only minimal use of warts — therefore this needs to be rewritten to prefer ~23/16 or ~13/9, followed by ~49/34 or ~75/52, with ~62/43 as a fallback, and the more complex sliding generator with the 53rd harmonic component only used as a last resort.)

The following table (actually a collection of tables for now) is for tracking trends in odd harmonics along the scale tree of [[17L 2s]]; it is intended to match the organization of [[17L_2s#Scale_tree|the corresponding scale tree]] (but this needs to be updated for addition of another column on 2025-05-12 — will do this after filling in candidate generator mappings for EDOs already in this table).  For each EDO, it includes a list of plausible candidates for the 17L 2s bright generator (BrightGen), with ''candidates failing to map to the bright generator in italics, along with plausible wart fixes (if any)''.

{{Harmonics in equal|19|intervals=odd|prec=2|columns=28|title=[[19edo]] (L=1, s=1, BrightGen is 10; patent ~[[13/9]] = 10; patent ~[[23/16]] = 10; ''patent ~[[49/34]] = 9''; patent ~[[62/43]] = 10; patent ~[[75/52]] = 10; patent ~[[384/265]] = 10; ''patent ~[[59049/40960]] = 9'') — Equalized 17L 2s}}

{{Harmonics in equal|112|intervals=odd|prec=2|columns=28|title=[[112edo]] (L=6, s=5, BrightGen is 59; ''patent ~13/9 = 58; b val ~13/9 = 60''; patent ~23/16 = 59; ''patent ~49/34 = 58''; patent ~62/43 = 59; ''patent ~75/52 = 60'', 'b' or 'f' wart usable; ''patent ~384/265 = 60; b val ~384/255 = 61''; ''patent ~59049/40960 = 64; b val ~59049/40960 = 54'')}}

{{Harmonics in equal|93|intervals=odd|prec=2|columns=28|title=[[93edo]] (L=5, s=4, BrightGen is 49; ''patent ~13/9 = 50''; patent ~23/16 = 49; patent ~49/34 = 49; patent ~62/43 = 49; patent ~75/52 = 49; patent ~384/265 = 49; ''patent ~59049/40960 = 45'')}}

{{Harmonics in equal|167|intervals=odd|prec=2|columns=28|title=[[167edo]] (L=9, s=7, BrightGen is 88; patent ~13/9 = 88; ''patent ~23/16 = 87''; patent ~49/34 = 88; patent ~62/43 = 88; ''patent ~75/52 = 89'', 'b' wart usable; ''patent ~384/265 = 89''; ''patent ~59049/40960 = 91'')}}

{{Harmonics in equal|74|intervals=odd|prec=2|columns=28|title=[[74edo]] (L=4, s=3, BrightGen is 39; ''patent ~13/9 = 40''; patent ~23/16 = 39; ''patent ~49/34 = 40, 'g' wart usable''; patent ~62/43 = 39; patent ~75/52 = 39; patent ~384/265 = 39; ''patent ~59049/40960 = 36'') — Supersoft 17L 2s}}

{{Harmonics in equal|203|intervals=odd|prec=2|columns=28|title=[[203edo]] (L=11, s=8, BrightGen is 107; patent ~13/9 = 107; ''patent ~23/16 = 106''; patent ~49/34 = 107; patent ~62/43 = 107; patent ~75/52 = 107; ''patent ~384/265 = 109''; ''patent ~59049/40960 = 110'')}}

{{Harmonics in equal|129|intervals=odd|prec=2|columns=28|title=[[129edo]] (L=7, s=5, BrightGen is 68; ''patent ~13/9 = 69''; patent ~23/16 = 68; patent ~49/34 = 68; patent ~62/43 = 68; ''patent ~75/52 = 69''; patent ~384/265 = 68; ''patent ~59049/40960 = 63'')}}

{{Harmonics in equal|184|intervals=odd|prec=2|columns=28|title=[[184edo]] (L=10, s=7, BrightGen is 97; patent ~13/9 = 97; ''patent ~23/16 = 96, 'i' wart usable''; ''patent ~49/34 = 98''; patent ~62/43 = 97; patent ~75/52 = 97; ''patent ~384/265 = 99''; ''patent ~59049/40960 = 101'')}}

{{Harmonics in equal|55|intervals=odd|prec=2|columns=28|title=[[55edo]] (L=3, s=2, BrightGen is 29; ''patent ~13/9 = 30''; patent ~23/16 = 29; ''patent ~49/34 = 28''; patent ~62/43 = 29; patent ~75/52 = 29; patent ~384/265 = 29; ''patent ~59049/40960 = 27'') — Soft 17L 2s}}

{{Harmonics in equal|201|intervals=odd|prec=2|columns=28|title=[[201edo]] (L=11, s=7, BrightGen is 106; patent ~13/9 = 106; ''patent ~23/16 = 105''; ''patent ~49/34 = 105, 'g' wart usable''; patent ~62/43 = 106; ''patent ~75/52 = 107'', 'b' wart usable; ''patent ~384/265 = 108''; ''patent ~59049/40960 = 110'')}}

{{Harmonics in equal|146|intervals=odd|prec=2|columns=28|title=[[146edo]] (L=8, s=5, BrightGen is 77; ''patent ~13/9 = 78''; ''patent ~23/16 = 76''; patent ~49/34 = 77; patent ~62/43 = 77; patent ~75/52 = 77; ''patent ~384/265 = 78''; ''patent ~59049/40960 = 73'')}}

{{Harmonics in equal|237|intervals=odd|prec=2|columns=28|title=[[237edo]] (L=13, s=8, BrightGen is 125; patent ~13/9 = 125; patent ~23/16 = 124; ''patent ~49/34 = 124''; patent ~62/43 = 125; patent ~75/52 = 125; ''patent ~384/265 = 127''; ''patent ~59049/40960 = 129'')}}

{{Harmonics in equal|91|intervals=odd|prec=2|columns=28|title=[[91edo]] (L=5, s=3, BrightGen is 48; ''patent ~13/9 = 49''; patent ~23/16 = 48; ''patent ~49/34 = 47''; patent ~62/43 = 48; ''patent ~75/52 = 47''; ''patent ~384/265 = 49''; ''patent ~59049/40960 = 46'') — Semisoft 17L 2s}}

{{Harmonics in equal|218|intervals=odd|prec=2|columns=28|title=[[218edo]] (L=12, s=7, BrightGen is 115; patent ~13/9 = 115; ''patent ~23/16 = 114''; patent ~49/34 = 115; patent ~62/43 = 115; patent ~75/52 = 115; ''patent ~384/265 = 117''; ''patent ~59049/40960 = 120'')}}

{{Harmonics in equal|127|intervals=odd|prec=2|columns=28|title=[[127edo]] (L=7, s=4, BrightGen is 67; ''patent ~13/9 = 68''; ''patent ~23/16 = 66, 'i' wart usable''; ''patent ~49/34 = 68''; patent ~62/43 = 67; patent ~75/52 = 67; ''patent ~384/265 = 68''; ''patent ~59049/40960 = 64'')}}

{{Harmonics in equal|163|intervals=odd|prec=2|columns=28|title=[[163edo]] (L=9, s=5, BrightGen is 86; ''patent ~13/9 = 87''; ''patent ~23/16 = 85''; ''patent ~49/34 = 87''; ''patent ~62/43 = 87, 'k' wart usable''; ''patent ~75/52 = 85''; ''patent ~384/265 = 87''; ''patent ~59049/40960 = 83'')}}

{{Harmonics in equal|36|intervals=odd|prec=2|columns=28|title=[[36edo]] (L=2, s=1, BrightGen is 19; patent ~13/9 = 19; patent ~23/16 = 19; patent ~49/34 = 19; patent ~62/43 = 19; patent ~75/52 = 20; patent ~384/265 = 19; ''patent ~59049/40960 = 18'') — Basic 17L 2s}}

{{Harmonics in equal|161|intervals=odd|prec=2|columns=28|title=[[161edo]] (L=9, s=4, BrightGen is 85; ''patent ~13/9 = 86''; ''patent ~23/16 = 84''; patent ~49/34 = 85; patent ~62/43 = 85; patent ~75/52 = 85; ''patent ~384/265 = 86''; ''patent ~59049/40960 = 83'')}}

{{Harmonics in equal|125|intervals=odd|prec=2|columns=28|title=[[125edo]] (L=7, s=3, BrightGen is 66; ''patent ~13/9 = 67, 'f' wart usable''; ''patent ~23/16 = 65''; patent ~49/34 = 66; patent ~62/43 = 66; patent ~75/52 = 65, 'f' wart usable; ''patent ~384/265 = 67''; ''patent ~59049/40960 = 65'')}}

{{Harmonics in equal|214|intervals=odd|prec=2|columns=28|title=[[214edo]] (L=12, s=5, BrightGen is 113; ''patent ~13/9 = 114''; ''patent ~23/16 = 112''; patent ~49/34 = 113; patent ~62/43 = 113; patent ~75/52 = 113; ''patent ~384/265 = 114''; ''patent ~59049/40960 = 111'')}}

{{Harmonics in equal|89|intervals=odd|prec=2|columns=28|title=[[89edo]] (L=5, s=2, BrightGen is 47; patent ~13/9 = 47; patent ~23/16 = 47; patent ~49/34 = 47; patent ~62/43 = 47; ''patent ~75/52 = 48''; patent ~384/265 = 47; ''patent ~59049/40960 = 46'') — Semihard 17L 2s}}

{{Harmonics in equal|231|intervals=odd|prec=2|columns=28|title=[[231edo]] (L=13, s=5, BrightGen is 122; ''patent ~13/9 = 123''; ''patent ~23/16 = 121''; ''patent ~49/34 = 121''; patent ~62/43 = 122; ''patent ~75/52 = 121''; ''patent ~384/265 = 124''; ''patent ~59049/40960 = 121'')}}

{{Harmonics in equal|142|intervals=odd|prec=2|columns=28|title=[[142edo]] (L=8, s=3, BrightGen is 75; patent ~13/9 = 75; ''patent ~23/16 = 74''; ''patent ~49/34 = 76''; ''patent ~62/43 = 74, 'k' wart usable''; ''patent ~75/52 = 76'', 'f' wart usable; ''patent ~384/265 = 76''; ''patent ~59049/40960 = 74'')}}

{{Harmonics in equal|195|intervals=odd|prec=2|columns=28|title=[[195edo]] (L=11, s=4, BrightGen is 103; ''patent ~13/9 = 104, 'f' wart usable but requires 'e' wart for 11th harmonic''; ''patent ~23/16 = 102''; patent ~49/34 = 102; patent ~62/43 = 103; patent ~75/52 = 103; ''patent ~384/265 = 104''; ''patent ~59049/40960 = 102'')}}

{{Harmonics in equal|53|intervals=odd|prec=2|columns=28|title=[[53edo]] (L=3, s=1, BrightGen is 28; patent ~13/9 = 28; patent ~23/16 = 28; patent ~49/34 = 28; patent ~62/43 = 28; patent ~75/52 = 28; patent ~384/265 = 28; patent ~59049/40960 = 28) — Hard 17L 2s}}

{{Harmonics in equal|176|intervals=odd|prec=2|columns=28|title=[[176edo]] (L=10, s=3, BrightGen is 93; patent ~13/9 = 93; ''patent ~23/16 = 92''; patent ~49/34 = 93; patent ~62/43 = 93; ''patent ~75/52 = 94''; ''patent ~384/265 = 94''; patent ~59049/40960 = 93)}}

{{Harmonics in equal|123|intervals=odd|prec=2|columns=28|title=[[123edo]] (L=7, s=2, BrightGen is 65; patent ~13/9 = 65; ''patent ~23/16 = 64, 'i' wart is usable''; ''patent ~49/34 = 64''; patent ~62/43 = 65; ''patent ~75/52 = 66''; patent ~384/265 = 65; patent ~59049/40960 = 65)}}

{{Harmonics in equal|193|intervals=odd|prec=2|columns=28|title=[[193edo]] (L=11, s=3, BrightGen is 102; patent ~13/9 = 102; ''patent ~23/16 = 101''; patent ~49/34 = 102; patent ~62/43 = 102; patent ~75/52 = 102; ''patent ~384/265 = 104''; ''patent ~59049/40960 = 103'')}}

{{Harmonics in equal|70|intervals=odd|prec=2|columns=28|title=[[70edo]] (L=4, s=1, BrightGen is 37; patent ~13/9 = 37; patent ~23/16 = 37; patent ~49/34 = 38; patent ~62/43 = 37; ''patent ~75/52 = 38''; patent ~384/265 = 37; patent ~59049/40960 = 37) — Superhard 17L 2s}}

{{Harmonics in equal|157|intervals=odd|prec=2|columns=28|title=[[157edo]] (L=9, s=2, BrightGen is 83; patent ~13/9 = 83; ''patent ~23/16 = 82''; patent ~49/34 = 83; patent ~62/43 = 83; ''patent ~75/52 = 84''; ''patent ~384/265 = 84''; ''patent ~59049/40960 = 84'')}}

{{Harmonics in equal|87|intervals=odd|prec=2|columns=28|title=[[87edo]] (L=5, s=1, BrightGen is 46; patent ~13/9 = 46 ; patent ~23/16 = 46; ''patent ~49/34 = 45''; patent ~62/43 = 46; patent ~75/52 = 46; ''patent ~384/265 = 47''; ''patent ~59049/40960 = 47'')}}

{{Harmonics in equal|104|intervals=odd|prec=2|columns=28|title=[[104edo]] (L=6, s=1, BrightGen is 55; patent ~13/9 = 55; ''patent ~23/16 = 54''; patent ~49/34 = 55; patent ~62/43 = 55; ''patent ~75/52 = 54''; ''patent ~384/265 = 56''; ''patent ~59049/40960 = 57'')}}

{{Harmonics in equal|17|intervals=odd|prec=2|columns=28|title=[[17edo]] (L=1, s=0, BrightGen is 9; patent ~13/9 = 9; patent ~23/16 = 9; ''patent ~49/34 = 10, 'g' wart usable but requires 'c' wart for 5th harmonic''; patent ~62/43 = 9; ''patent ~75/52 = 8''; ''patent ~384/265 = 10''; c val ~384/265 = 9; ''patent ~59049/40960 = 10''; c val ~59049/40960 = 9) — Collapsed 17L 2s}}

In detailed observations of scrolling through the above table group (which has not yet been updated to include the extra column from the [[17L 2s]] scale tree, I started noticing interesting things, like how the harmonic/subharmonics of the generator have unstable mapping (because no simple ratio with a reasonable sized numerator and denominator fits into this zone), but the 3rd harmonic is nearly rock-solid (and 112b is a respectable if overly-complex quarter-comma meantone approximation), although its mapping causes strange effects in the right-most column of the MOS spectrum table, causing ~13/9 to map to the bright generator in several EDOs in the soft half of the scale tree and to map 1 step sharp of the bright generator in several EDOs in the hard half of the spectrum.  And the mapping of the 53rd harmonic is reasonably solid as long as the right-most column of the scale tree is entirely left out (will need to leave out the right-most 2 columns after this is updated to the expanded scale tree); ~384/265 does not do as well as expected as a generator.  And there the 5th harmonic seems very much usable in the soft end of the scale scale tree as long as the EDO sizes don't get too large (and even then, sometimes it is still okay), which looks to me like enabling a 2.3.5.23.53 meantone extension.  The 5th and 53rd harmonics go all over the place in the hard end, but there the 25th harmonic shines and is rock-solid as long as you don't go softer than 36edo (basic), and the 13th harmonic jis fairly rock-solid in this zone (and some of the exceptions are candidates for rescue by applying an 'f' wart); in the soft half of the spectrum, the 13th harmonic always maps to 1 step too many for ~13/9 to be usable as the bright generator, and an 'f' wart would worsen consistency with nearby harmonics, except strangely in most of the right-most column of the [[17L_2s#Scale_tree|the 17L 2s scale tree]].  The generator ~[[59049/40960]] = ~|-13 10 -1⟩ of the established [[Alphatricot family]] only works for a narrow band in the hard to super-hard region of the 17L 2s scale tree, plus 17c.  The generator ~[[49/34]] = |-1 0 0 2 0 0 -1⟩ has a just value not too far off from the middle of the 17L 2s scale tree, so it works over a fairly wide range of EDO values within this scale tree, but suffers from the 7th and 17th harmonics not covarying as well as would be needed for general applicability, as well as having 2 powers of 7, which precludes use of a 'd' wart to fix a fault with the mapping of the 7th harmonic.  The generator ~[[75/52]] = |-2 1 2 0 0 -1⟩ also has a just value not too far off from the middle of the 17L 2s scale tree, so it works over a fairly wide range of EDO values within this scale tree, but suffers from the 3rd, 5th, and 13th harmonics not covarying as well as would be needed for general applicability, as well as having 2 powers of 5, which precludes use of a 'c' wart to fix a fault with the mapping of the 5th harmonic.  Finally, the ratio ~62/43 (bright generator) or ~43/31 (dark generator) has amazing stability — even though the mapping of its component harmonics is pretty unstable, they co-vary sufficiently well that a wart is needed for proper mapping in only a few places, and in each case the wart does not appear to hurt consistency, at least at a brief inspection.

Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:57, 18 June 2025 (UTC)