Ed12: Difference between revisions

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'''Ed12''' means '''~~Division~~ of the Twelfth Harmonic ([[12/1]]) into n equal parts'''.

'''Ed12''' means '''division of the Twelfth Harmonic ([[12/1]]) into n equal parts'''.

== ~~Overview~~ ==

== Properties ==

~~The twelfth harmonic~~ is ~~particularly wide as far as equivalences go. There are (at absolute most) ~~~3~~.1 dodecataves within the human hearing range; imagine if that were the case with octaves. If one~~ does ~~indeed deal with dodecatave equivalence, this fact shapes one's musical approach dramatically~~. ~~Also,~~ the ~~ed12-~~[[~~edo~~]] ~~correspondences fall particularly close to the harmonic series of the NTSC or PAL-M color subcarrier:~~

=== Improving primes ===

Ed12 is like [[ed6]] in that it is a compromise between [[prime]]s 2 and 3 — but ed12 leans more towards prime 2 than ed6 does. An ed12 sometimes gives you the right amount of stretch for equal temperaments whose 3 is more inaccurate than its higher [[prime]]s.

{| class="wikitable mw-collapsible"

Here for example, you can choose how much you wish to stretch [[31edo]] depending on your harmonic style: [[80ed6]] vs [[111ed12]].

''(See also [[Stretched and compressed tuning]].)''

=== Width of its period ===

The twelfth harmonic is particularly wide as far as [[period]]s go. There are (at absolute most) ~3.1 dodecataves within the human hearing range; imagine if that were the case with octaves.

This width means that the listener probably won't hear the period (12/1) as an equivalence, but instead will hear the [[pseudo-octave]] or pseudo-tritave or similar as one — this disconnect between period versus equivalence could be used by a composer to surprise their listener, in a similar way that [[13edo]] can be used to make melodies that sound like [[12edo]], until they suddenly don't.

=== NTSC and PAL devices ===

The ed12-[[edo]] correspondences fall particularly close to the harmonic series of the NTSC or PAL-M color subcarrier. Perhaps a multimedia artist could find some way to put this to use.

{| class="wikitable mw-collapsible mw-collapsed"

|+ Ed12-edo correspondences

!edo

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|}

~~== See also ==~~

[[Category:Equal-step tuning]]

* [[~~Ed6~~]]

[[Category:Edonoi]]

[[Category:Ed12]]

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 {{Editable user page}}
-'''Ed12''' means '''Division of the Twelfth Harmonic ([[12/1]]) into n equal parts'''.
+'''Ed12''' means '''division of the Twelfth Harmonic ([[12/1]]) into n equal parts'''.
-== Overview ==
+== Properties ==
-The twelfth harmonic is particularly wide as far as equivalences go. There are (at absolute most) ~3.1 dodecataves within the human hearing range; imagine if that were the case with octaves. If one does indeed deal with dodecatave equivalence, this fact shapes one's musical approach dramatically. Also, the ed12-[[edo]] correspondences fall particularly close to the harmonic series of the NTSC or PAL-M color subcarrier:
+=== Improving primes ===
+Ed12 is like [[ed6]] in that it is a compromise between [[prime]]s 2 and 3 — but ed12 leans more towards prime 2 than ed6 does. An ed12 sometimes gives you the right amount of stretch for equal temperaments whose 3 is more inaccurate than its higher [[prime]]s.
-{| class="wikitable mw-collapsible"
+Here for example, you can choose how much you wish to stretch [[31edo]] depending on your harmonic style: [[80ed6]] vs [[111ed12]].
+''(See also [[Stretched and compressed tuning]].)''
+=== Width of its period ===
+The twelfth harmonic is particularly wide as far as [[period]]s go. There are (at absolute most) ~3.1 dodecataves within the human hearing range; imagine if that were the case with octaves.
+This width means that the listener probably won't hear the period (12/1) as an equivalence, but instead will hear the [[pseudo-octave]] or pseudo-tritave or similar as one — this disconnect between period versus equivalence could be used by a composer to surprise their listener, in a similar way that [[13edo]] can be used to make melodies that sound like [[12edo]], until they suddenly don't.
+=== NTSC and PAL devices ===
+The ed12-[[edo]] correspondences fall particularly close to the harmonic series of the NTSC or PAL-M color subcarrier. Perhaps a multimedia artist could find some way to put this to use.
+{| class="wikitable mw-collapsible mw-collapsed"
 |+ Ed12-edo correspondences
 !edo
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 |}
-== See also ==
+[[Category:Equal-step tuning]]
-* [[Ed6]]
 [[Category:Edonoi]]
 [[Category:Ed12]]