29edo: Difference between revisions

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=== Interval Flavors ===

29edo has inframinor, neogothic minor, supraminor, submajor, neogothic major, and ~~supermajor~~ seconds and thirds. This is in contrast to systems like [[31edo]], where there are subminor, minor, neutral, major, and supermajor seconds and thirds. This is due to it representing 2.3.7/5.11/5.13/5 well, and ratios between two primes greater than 3 tend to land between interval categories of intervals in a 2.3.p subgroup. For example, 2.3.5 intervals are major/minor, 2.3.7 intervals are supermajor/subminor, and 2.3.11 and 2.3.13 intervals are neutral. 31edo, on the other hand, represents 2.3.5.7.11 well, and therefore has interval categories resembling 2.3.5, 2.3.7, and 2.3.11. It can also be seen from the fact that the 29&31 temperament, [[tritonic]], maps seconds and thirds to large numbers of generators, so they differ more in tuning between the system.

29edo has inframinor, neogothic minor, supraminor, submajor, neogothic major, and ultramajor seconds and thirds. This is in contrast to systems like [[31edo]], where there are subminor, minor, neutral, major, and supermajor seconds and thirds. This is due to it representing 2.3.7/5.11/5.13/5 well, and ratios between two primes greater than 3 tend to land between interval categories of intervals in a 2.3.p subgroup. For example, 2.3.5 intervals are major/minor, 2.3.7 intervals are supermajor/subminor, and 2.3.11 and 2.3.13 intervals are neutral. 31edo, on the other hand, represents 2.3.5.7.11 well, and therefore has interval categories resembling 2.3.5, 2.3.7, and 2.3.11. It can also be seen from the fact that the 29&31 temperament, [[tritonic]], maps seconds and thirds to large numbers of generators, so they differ more in tuning between the system.

=== Subsets and Supersets ===

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 === Interval Flavors ===
-edo has inframinor, neogothic minor, supraminor, submajor, neogothic major, and supermajor seconds and thirds. This is in contrast to systems like [[31edo]], where there are subminor, minor, neutral, major, and supermajor seconds and thirds. This is due to it representing 2.3.7/5.11/5.13/5 well, and ratios between two primes greater than 3 tend to land between interval categories of intervals in a 2.3.p subgroup. For example, 2.3.5 intervals are major/minor, 2.3.7 intervals are supermajor/subminor, and 2.3.11 and 2.3.13 intervals are neutral. 31edo, on the other hand, represents 2.3.5.7.11 well, and therefore has interval categories resembling 2.3.5, 2.3.7, and 2.3.11. It can also be seen from the fact that the 29&31 temperament, [[tritonic]], maps seconds and thirds to large numbers of generators, so they differ more in tuning between the system.
+edo has inframinor, neogothic minor, supraminor, submajor, neogothic major, and ultramajor seconds and thirds. This is in contrast to systems like [[31edo]], where there are subminor, minor, neutral, major, and supermajor seconds and thirds. This is due to it representing 2.3.7/5.11/5.13/5 well, and ratios between two primes greater than 3 tend to land between interval categories of intervals in a 2.3.p subgroup. For example, 2.3.5 intervals are major/minor, 2.3.7 intervals are supermajor/subminor, and 2.3.11 and 2.3.13 intervals are neutral. 31edo, on the other hand, represents 2.3.5.7.11 well, and therefore has interval categories resembling 2.3.5, 2.3.7, and 2.3.11. It can also be seen from the fact that the 29&31 temperament, [[tritonic]], maps seconds and thirds to large numbers of generators, so they differ more in tuning between the system.
 === Subsets and Supersets ===