BPS: Difference between revisions

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Several extensions of this temperament are possible to incorporate additional harmonics.

In the [[11-limit]], [[1331/1323]] is the most convenient comma that can be tempered out, which produces ''Mintra'' temperament; this splits the 9/7 generator (plus a tritave) in three and therefore functions instead as a weak extension of BPS, and a strong add-5 extension of [[Mintaka]], which produces {{sl|5L 2s~~|3/1~~}} and {{sl|5L 7s~~|3/1~~}} MOS scales (functioning as a macro-[[superpyth]]). Simple tunings include [[17edt]] and [[39edt]].

In the [[11-limit]], [[1331/1323]] is the most convenient comma that can be tempered out, which produces ''Mintra'' temperament; this splits the 9/7 generator (plus a tritave) in three and therefore functions instead as a weak extension of BPS, and a strong add-5 extension of [[Mintaka]], which produces {{sl|5L 2s}} and {{sl|5L 7s}} MOS scales (functioning as a macro-[[superpyth]]). Simple tunings include [[17edt]] and [[39edt]].

Another weak extension to add prime 17, known as ''[[Dubhe]]'', splits the 9/7 BPS generator in half, by tempering out [[2025/2023]] and equating two of [[17/15]] to 9/7. This produces {{sl|8L 1s~~|3/1~~}} enneatonic and {{sl|9L 8s~~|3/1~~}} chromatic MOS scales. Simple tunings include [[17edt]] and [[26edt]].

Another weak extension to add prime 17, known as ''[[Dubhe]]'', splits the 9/7 BPS generator in half, by tempering out [[2025/2023]] and equating two of [[17/15]] to 9/7. This produces {{sl|8L 1s}} enneatonic and {{sl|9L 8s}} chromatic MOS scales. Simple tunings include [[17edt]] and [[26edt]].

=== Strong extensions ===

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 Several extensions of this temperament are possible to incorporate additional harmonics.
-In the [[11-limit]], [[1331/1323]] is the most convenient comma that can be tempered out, which produces ''Mintra'' temperament; this splits the 9/7 generator (plus a tritave) in three and therefore functions instead as a weak extension of BPS, and a strong add-5 extension of [[Mintaka]], which produces {{sl|5L 2s|3/1}} and {{sl|5L 7s|3/1}} MOS scales (functioning as a macro-[[superpyth]]). Simple tunings include [[17edt]] and [[39edt]].
+In the [[11-limit]], [[1331/1323]] is the most convenient comma that can be tempered out, which produces ''Mintra'' temperament; this splits the 9/7 generator (plus a tritave) in three and therefore functions instead as a weak extension of BPS, and a strong add-5 extension of [[Mintaka]], which produces {{sl|5L 2s}} and {{sl|5L 7s}} MOS scales (functioning as a macro-[[superpyth]]). Simple tunings include [[17edt]] and [[39edt]].
-Another weak extension to add prime 17, known as ''[[Dubhe]]'', splits the 9/7 BPS generator in half, by tempering out [[2025/2023]] and equating two of [[17/15]] to 9/7. This produces {{sl|8L 1s|3/1}} enneatonic and {{sl|9L 8s|3/1}} chromatic MOS scales. Simple tunings include [[17edt]] and [[26edt]].
+Another weak extension to add prime 17, known as ''[[Dubhe]]'', splits the 9/7 BPS generator in half, by tempering out [[2025/2023]] and equating two of [[17/15]] to 9/7. This produces {{sl|8L 1s}} enneatonic and {{sl|9L 8s}} chromatic MOS scales. Simple tunings include [[17edt]] and [[26edt]].
 === Strong extensions ===