Template:ED intro

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This template uses Lua: Module: ED intro

This template creates an introduction for an equal division page, namely:

• Equal divisions of the octave or second harmonic (edo).
• Equal divisions of the tritave, perfect twelfth, or third harmonic (edt).
• Equal divisions of the fifth (edf).
• Equal divisions of an arbitrary harmonic.
• Equal divisions of an arbitrary ratio.
• Equal divisions of an arbitrary cent value.

Usage

Supported formats are as shown:

• kedo – equal divisions of the octave, sometimes denoted as ked2
• kedt – equal divisions of the tritave/twelfth, sometimes denoted as ked3
• kedf – equal divisions of the fifth, sometimes denoted as ked3/2
• kedp/q – equal divisions of an arbitrary ratio p/q, or if written as kedp, equal divisions of a harmonic
• kedcc – equal divisions of an arbitrary cent value c
• k – if no suffix is included, then it will be treated as an edo.

For equal division pages whose page title follows the above formats, add the following line without any parameters.

{{ED intro}}

For equal division pages whose page title does not follow the aforementioned formats, include the intended equal division as an unnamed parameter.

{{ED intro|6ed600c}}

Examples

{{ED intro|12}}

{{ED intro|12edo}}

12 equal divisions of the octave (abbreviated 12edo or 12ed2), also called 12-tone equal temperament (12tet) or 12 equal temperament (12et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 12 equal parts of exactly 100 ¢ each. Each step represents a frequency ratio of 2^1/12, or the 12th root of 2.

{{ED intro|13edt}}

13 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 13edt or 13ed3), is a nonoctave tuning system that divides the interval of 3/1 into 13 equal parts of about 146 ¢ each. Each step represents a frequency ratio of 3^1/13, or the 13th root of 3.

{{ED intro|7edf}}

7 equal divisions of the perfect fifth (abbreviated 7edf or 7ed3/2) is a nonoctave tuning system that divides the interval of 3/2 into 7 equal parts of about 100 ¢ each. Each step represents a frequency ratio of (3/2)^1/7, or the 7th root of 3/2.

{{ED intro|12ed5}}

12 equal divisions of the 5th harmonic (abbreviated 12ed5) is a nonoctave tuning system that divides the interval of 5/1 into 12 equal parts of about 232 ¢ each. Each step represents a frequency ratio of 5^1/12, or the 12th root of 5.

{{ED intro|12ed5/2}}

12 equal divisions of 5/2 (abbreviated 12ed5/2) is a nonoctave tuning system that divides the interval of 5/2 into 12 equal parts of about 132 ¢ each. Each step represents a frequency ratio of (5/2)^1/12, or the 12th root of 5/2.

{{ED intro|12ed600c}}

12 equal divisions of 600 ¢ (abbreviated 12ed600 ¢) is a nonoctave tuning system that divides the interval of 600 ¢ into 12 equal parts of exactly 50 ¢ each.

{{ED intro|12ed600.1c}}

12 equal divisions of 600.1 ¢ (abbreviated 12ed600.1 ¢) is a nonoctave tuning system that divides the interval of 600.1 ¢ into 12 equal parts of about 50 ¢ each.

Equal-step tunings (1 equal division)

{{ED intro|1edo}}

1 equal division of the octave (abbreviated 1edo or 1ed2), also called 1-tone equal temperament (1tet) or 1 equal temperament (1et) when viewed under a regular temperament perspective, is the tuning system that uses equal steps of 2/1 (one octave), or exactly 1200 ¢.

{{ED intro|1edt}}

1 equal division of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 1edt or 1ed3), is a nonoctave tuning system that uses equal steps of 3/1 (one tritave), or about 1900 ¢.

{{ED intro|1edf}}

1 equal division of the perfect fifth (abbreviated 1edf or 1ed3/2) is a nonoctave tuning system that uses equal steps of 3/2 (one perfect fifth), or about 702 ¢.

{{ED intro|1ed5}}

1 equal division of the 5th harmonic (abbreviated 1ed5) is a nonoctave tuning system that uses equal steps of 5/1, or about 2790 ¢.

{{ED intro|1ed5/2}}

1 equal division of 5/2 (abbreviated 1ed5/2) is a nonoctave tuning system that uses equal steps of 5/2, or about 1590 ¢.

{{ED intro|1ed600c}}

1 equal division of 600 ¢ (abbreviated 1ed600 ¢) is a nonoctave tuning system that uses equal steps of 600 ¢.

{{ED intro|1ed600.1c}}

1 equal division of 600.1 ¢ (abbreviated 1ed600.1 ¢) is a nonoctave tuning system that uses equal steps of 600.1 ¢.