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2. Minor sixth - Wikipedia

   en.wikipedia.org/wiki/Minor_sixth

   Minor sixth Play ⓘ Pythagorean minor sixth on C Play ⓘ, four Pythagorean perfect fifths.. In music theory, a minor sixth is a musical interval encompassing six staff positions (see Interval number for more details), and is one of two commonly occurring sixths (the other one being the major sixth).

3. Interval (music) - Wikipedia

   en.wikipedia.org/wiki/Interval_(music)

   The size of an interval between two notes may be measured by the ratio of their frequencies.When a musical instrument is tuned using a just intonation tuning system, the size of the main intervals can be expressed by small-integer ratios, such as 1:1 (), 2:1 (), 5:3 (major sixth), 3:2 (perfect fifth), 4:3 (perfect fourth), 5:4 (major third), 6:5 (minor third).

4. Interval recognition - Wikipedia

   en.wikipedia.org/wiki/Interval_recognition

   Some music teachers teach their students relative pitch by having them associate each possible interval with the first interval of a popular song. [1] Such songs are known as "reference songs". [2]

5. Circle of fifths - Wikipedia

   en.wikipedia.org/wiki/Circle_of_fifths

   The standard tempered fifth has a frequency ratio of 2 7/12:1 (or about 1.498307077:1), approximately two cents narrower than a justly tuned fifth. Ascending by twelve justly tuned fifths fails to close the circle by an excess of approximately 23.46 cents , roughly a quarter of a semitone , an interval known as the Pythagorean comma .

6. Wolf interval - Wikipedia

   en.wikipedia.org/wiki/Wolf_interval

   In quarter-comma meantone, the frequency ratio for the fifth is 4 √ 5 , which is about 3.42157 cents flatter than an equal tempered 700 cents, (or exactly one twelfth of a diesis) and so the wolf is about 737.637 cents, or 35.682 cents sharper than a perfect fifth of ratio exactly 3:2, and this is the original "howling" wolf fifth.

7. Expression (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Expression_(mathematics)

   A formal expression is a kind of string of symbols, created by the same production rules as standard expressions, however, they are used without regard to the meaning of the expression. In this way, two formal expressions are considered equal only if they are syntactically equal, that is, if they are the exact same expression.

8. Geometric progression - Wikipedia

   en.wikipedia.org/wiki/Geometric_progression

   Diagram illustrating three basic geometric sequences of the pattern 1(r n−1) up to 6 iterations deep.The first block is a unit block and the dashed line represents the infinite sum of the sequence, a number that it will forever approach but never touch: 2, 3/2, and 4/3 respectively.

9. Bracket (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Bracket_(mathematics)

   Square brackets are also often used in place of a second set of parentheses when they are nested—so as to provide a visual distinction. In mathematical expressions in general, parentheses are also used to indicate grouping (i.e., which parts belong together) when edible to avoid ambiguities and improve clarity.