Interval gaps

From TD Xenharmonic Wiki
Jump to navigation Jump to search

INTERVAL GAPS

Interval gaps is a concept extending odd limit in a way. Take ALL odd limit pairs and merge them to make interval gaps. Consistent in interval gaps is therefore stricter than odd limit consistent.

In a way, 3-odd-interval-gaps could be thought of as (3.9)-odd-limit, and 5-odd-interval-gaps could be thought of as (3.5.9.15.25)-odd-limit. By extension, this would make 7-odd-interval-gaps as (3.5.7.9.15.21.25.35.49)-odd-limit, 9-odd-interval-gaps as (3.5.7.9.15.21.25.27.35.45.49.63.81)-odd-limit, and 11-odd-interval-gaps as (3.5.7.9.11.15.21.25.27.33.35.45.49.55.63.77.81.99.121)-odd-limit.

3-odd-interval-gaps[edit]

{{#rreplace:

  • 1/1
  • 9/8
  • 4/3
  • 3/2
  • 16/9
  • 2/1

|/(\d+)(\D+)?\/(\d+)(\D+)?/|\1/\3\2\4}}

5-odd-interval-gaps[edit]

{{#rreplace:

  • 1/1
  • 25/24
  • 16/15
  • 10/9
  • 9/8
  • 6/5
  • 5/4
  • 32/25
  • 4/3
  • 25/18
  • 36/25
  • 3/2
  • 25/16
  • 8/5
  • 5/3
  • 16/9
  • 9/5
  • 15/8
  • 48/25
  • 2/1

|/(\d+)(\D+)?\/(\d+)(\D+)?/|\1/\3\2\4}}