29edo: Difference between revisions

Line 36:

=== Interval Flavors ===

29edo has [[Ultramajor and inframinor|inframinor (arto)]], [[Neogothic major and minor|neogothic minor]], supraminor, submajor, neogothic major, and ultramajor (tendo) thirds and sevenths. This is in contrast to systems like [[31edo]], where there are subminor, minor, neutral, major, and supermajor thirds and sevenths. This is due to 29edo 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 and subminor|supermajor/subminor]], and 2.3.11 and 2.3.13 intervals are [[Neutral|artoneutral/tendoneutral]]. 31edo, on the other hand, represents 2.3.5.7.11 well, and thus has interval categories represented in 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 systems.

29edo has [[Ultramajor and inframinor|inframinor (arto)]], [[Neogothic major and minor|neogothic minor]], supraminor, submajor, neogothic major, and ultramajor (tendo) thirds and sevenths. This is in contrast to systems like [[31edo]], where there are subminor, minor, neutral, major, and supermajor thirds and sevenths. This is due to 29edo 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 and subminor|supermajor/subminor]], and 2.3.11 and 2.3.13 intervals are [[Neutral (interval quality)|artoneutral/tendoneutral]]. 31edo, on the other hand, represents 2.3.5.7.11 well, and thus has interval categories represented in 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 systems.

=== Subsets and Supersets ===

@@ Line 36: / Line 36: @@
 === Interval Flavors ===
-edo has [[Ultramajor and inframinor|inframinor (arto)]], [[Neogothic major and minor|neogothic minor]], supraminor, submajor, neogothic major, and ultramajor (tendo) thirds and sevenths. This is in contrast to systems like [[31edo]], where there are subminor, minor, neutral, major, and supermajor thirds and sevenths. This is due to 29edo 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 and subminor|supermajor/subminor]], and 2.3.11 and 2.3.13 intervals are [[Neutral|artoneutral/tendoneutral]]. 31edo, on the other hand, represents 2.3.5.7.11 well, and thus has interval categories represented in 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 systems.
+edo has [[Ultramajor and inframinor|inframinor (arto)]], [[Neogothic major and minor|neogothic minor]], supraminor, submajor, neogothic major, and ultramajor (tendo) thirds and sevenths. This is in contrast to systems like [[31edo]], where there are subminor, minor, neutral, major, and supermajor thirds and sevenths. This is due to 29edo 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 and subminor|supermajor/subminor]], and 2.3.11 and 2.3.13 intervals are [[Neutral (interval quality)|artoneutral/tendoneutral]]. 31edo, on the other hand, represents 2.3.5.7.11 well, and thus has interval categories represented in 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 systems.
 === Subsets and Supersets ===