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== Temperaments ==

Tempering it out means the fourth is divided into an equal stepped tetrachord, the step of which is a "trienfourth" (from "1/3 of a fourth") or "submajor second" and because it is an ultraparticular it makes 12/11 and 10/9 equidistant from 11/10. It may be reminiscent of how the [[250/243|porcupine comma]] splits 4/3 ~~(''much'' less accurately)~~ into three [[10/9]]'s instead~~. It~~ is for these reasons that 2.3.5.11 [[Porcupine_family#2.3.5.11_subgroup_.28porkypine.29|porkypine]] equates 11/10 with the [[superparticular]]s adjacent to it of 12/11 and 10/9, tempering S10 and S11 as the porcupine comma of [[250/243]] = S10<sup>2</sup> * S11 so through porkypine we make [[porcupine]] as efficient and elegant as it can reasonably be.

Tempering it out means the fourth is divided into an equal stepped tetrachord, the step of which is a "trienfourth" (from "1/3 of a fourth") or "submajor second" and because it is an ultraparticular it makes 12/11 and 10/9 equidistant from 11/10.

On the low-accuracy end, this may be reminiscent of how the [[250/243|porcupine comma]] splits 4/3 into three [[10/9]]'s instead and it is for these reasons that 2.3.5.11 [[Porcupine_family#2.3.5.11_subgroup_.28porkypine.29|porkypine]] equates 11/10 with the [[superparticular]]s adjacent to it of 12/11 and 10/9, tempering S10 and S11 as the porcupine comma of [[250/243]] = S10<sup>2</sup> * S11 so through porkypine we make [[porcupine]] as efficient and elegant as it can reasonably be.

Tempering it out along with the [[schisma]] results in the rank-2 [[tertiaschis]] temperament.

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 == Temperaments ==
-Tempering it out means the fourth is divided into an equal stepped tetrachord, the step of which is a "trienfourth" (from "1/3 of a fourth") or "submajor second" and because it is an ultraparticular it makes 12/11 and 10/9 equidistant from 11/10. It may be reminiscent of how the [[250/243|porcupine comma]] splits 4/3 (''much'' less accurately) into three [[10/9]]'s instead. It is for these reasons that 2.3.5.11 [[Porcupine_family#2.3.5.11_subgroup_.28porkypine.29|porkypine]] equates 11/10 with the [[superparticular]]s adjacent to it of 12/11 and 10/9, tempering S10 and S11 as the porcupine comma of [[250/243]] = S10<sup>2</sup> * S11 so through porkypine we make [[porcupine]] as efficient and elegant as it can reasonably be.
+Tempering it out means the fourth is divided into an equal stepped tetrachord, the step of which is a "trienfourth" (from "1/3 of a fourth") or "submajor second" and because it is an ultraparticular it makes 12/11 and 10/9 equidistant from 11/10.
+On the low-accuracy end, this may be reminiscent of how the [[250/243|porcupine comma]] splits 4/3 into three [[10/9]]'s instead and it is for these reasons that 2.3.5.11 [[Porcupine_family#2.3.5.11_subgroup_.28porkypine.29|porkypine]] equates 11/10 with the [[superparticular]]s adjacent to it of 12/11 and 10/9, tempering S10 and S11 as the porcupine comma of [[250/243]] = S10<sup>2</sup> * S11 so through porkypine we make [[porcupine]] as efficient and elegant as it can reasonably be.
 Tempering it out along with the [[schisma]] results in the rank-2 [[tertiaschis]] temperament.