Talk:Marvel: Difference between revisions

Line 198:

:: I wanted to elaborate on something I said a little: "It doesn't seem like the answer could be less sensitive than this, but it's admittedly a strange answer I'd like more justification for". The weird thing about using the square-root of the odd-limit was when I used the most contentious interval I accepted the tempering of as psychoacoustically convincing (which is the ~3/2 and ~4/3 in 7edo), then the implied bounds for all the odd-limits seem to match my experience with a suspicious degree of accuracy, recognising, for example, that [[80edo]]'s very off [[~]][[15/13]] is tempered with basically exactly as much damage as I can accept for harmonically-contextualised purposes.

:: "Becuz I also take account of harmonic significance and frequency of use" I think this is maybe where the disagreement is arising from. I fundamentally don't agree that you can weight in this way; you can't say "because I use 3/2 often, therefore 3/2 is the most important to have low error on", because that disregards the tuning fidelity required for more complex intervals. It doesn't matter how infrequently you use something; if you do use it, then having it be too damaged will have consequences in its sound (specifically its capability of concordance) so you either do or don't care about whether it concords. Plus, if you wanted to adopt that philosophy then ironically [[53edo]] is ''definitely'' optimal for marvel, because it cares first and foremost about 2-limit, then 3-limit, then 5-limit, then 7-limit, then 11-limit, ''strictly'' in that order, which is exactly the proposed frequency falloff you are advocating for. So by your own reasoning, it should be the best tuning for it, because it tunes primes better the smaller they are. Discarding it due to the uneven tuning of the full 9-odd-limit is indirectly an admission of complexity weighting, at which point you can't avoid the fact that more complex intervals need to be tuned better to concord. How much better is up to debate ofc, but it's definitely not unweighted for the reasons I gave.

:: "Becuz I also take account of harmonic significance and frequency of use" I think this is maybe where the disagreement is arising from. I fundamentally don't agree that you can weight in this way; you can't say "because I use 3/2 often, therefore 3/2 is the most important to have low error on", because that disregards the tuning fidelity required for more complex intervals as well as disregards that your 3/2 may already be good enough for every practical purpose (which is especially likely if you look at larger odd-limits including composite odds because of the frequency of 3 appearing in the factorisation). It doesn't matter how infrequently you use something; if you do use it, then having it be too damaged will have consequences in its sound (specifically its capability of concordance) so you either do or don't care about whether it concords. Plus, if you wanted to adopt that philosophy then ironically [[53edo]] is ''definitely'' optimal for marvel, because it cares first and foremost about 2-limit, then 3-limit, then 5-limit, then 7-limit, then 11-limit, ''strictly'' in that order, which is exactly the proposed frequency falloff you are advocating for. So by your own reasoning, it should be the best tuning for it, because it tunes primes better the smaller they are. Discarding it due to the uneven tuning of the full 9-odd-limit is indirectly an admission of complexity weighting, at which point you can't avoid the fact that more complex intervals need to be tuned better to concord. How much better is up to debate ofc, but it's definitely not unweighted for the reasons I gave.

:: --[[User:Godtone|Godtone]] ([[User talk:Godtone|talk]]) 17:32, 20 January 2025 (UTC)

@@ Line 198: / Line 198: @@
 :: I wanted to elaborate on something I said a little: "It doesn't seem like the answer could be less sensitive than this, but it's admittedly a strange answer I'd like more justification for". The weird thing about using the square-root of the odd-limit was when I used the most contentious interval I accepted the tempering of as psychoacoustically convincing (which is the ~3/2 and ~4/3 in 7edo), then the implied bounds for all the odd-limits seem to match my experience with a suspicious degree of accuracy, recognising, for example, that [[80edo]]'s very off [[~]][[15/13]] is tempered with basically exactly as much damage as I can accept for harmonically-contextualised purposes.
-:: "Becuz I also take account of harmonic significance and frequency of use" I think this is maybe where the disagreement is arising from. I fundamentally don't agree that you can weight in this way; you can't say "because I use 3/2 often, therefore 3/2 is the most important to have low error on", because that disregards the tuning fidelity required for more complex intervals. It doesn't matter how infrequently you use something; if you do use it, then having it be too damaged will have consequences in its sound (specifically its capability of concordance) so you either do or don't care about whether it concords. Plus, if you wanted to adopt that philosophy then ironically [[53edo]] is ''definitely'' optimal for marvel, because it cares first and foremost about 2-limit, then 3-limit, then 5-limit, then 7-limit, then 11-limit, ''strictly'' in that order, which is exactly the proposed frequency falloff you are advocating for. So by your own reasoning, it should be the best tuning for it, because it tunes primes better the smaller they are. Discarding it due to the uneven tuning of the full 9-odd-limit is indirectly an admission of complexity weighting, at which point you can't avoid the fact that more complex intervals need to be tuned better to concord. How much better is up to debate ofc, but it's definitely not unweighted for the reasons I gave.
+:: "Becuz I also take account of harmonic significance and frequency of use" I think this is maybe where the disagreement is arising from. I fundamentally don't agree that you can weight in this way; you can't say "because I use 3/2 often, therefore 3/2 is the most important to have low error on", because that disregards the tuning fidelity required for more complex intervals as well as disregards that your 3/2 may already be good enough for every practical purpose (which is especially likely if you look at larger odd-limits including composite odds because of the frequency of 3 appearing in the factorisation). It doesn't matter how infrequently you use something; if you do use it, then having it be too damaged will have consequences in its sound (specifically its capability of concordance) so you either do or don't care about whether it concords. Plus, if you wanted to adopt that philosophy then ironically [[53edo]] is ''definitely'' optimal for marvel, because it cares first and foremost about 2-limit, then 3-limit, then 5-limit, then 7-limit, then 11-limit, ''strictly'' in that order, which is exactly the proposed frequency falloff you are advocating for. So by your own reasoning, it should be the best tuning for it, because it tunes primes better the smaller they are. Discarding it due to the uneven tuning of the full 9-odd-limit is indirectly an admission of complexity weighting, at which point you can't avoid the fact that more complex intervals need to be tuned better to concord. How much better is up to debate ofc, but it's definitely not unweighted for the reasons I gave.
 :: --[[User:Godtone|Godtone]] ([[User talk:Godtone|talk]]) 17:32, 20 January 2025 (UTC)