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The '''hemimean clan''' tempers out the no-threes hemimean comma [[3136/3125]]. The head of this clan is the 2.5.7 subgroup temperament didacus. Full 7-limit [[extension]]s of didacus, in general, split the [[syntonic comma]] into two, each for [[126/125]]~[[225/224]], as 3136/3125 = (126/125)/(225/224). These include hemiwürschmidt, hemithirds, spell, semisept, emka, decipentic, sengagen, subpental, mowglic, and undetrita, considered below, as well as these considered elsewhere:
The '''hemimean clan''' tempers out the hemimean comma, [[3136/3125]], with [[monzo]] {{monzo| 6 0 -5 2 }}. The head of this clan is the 2.5.7 [[subgroup temperament]] didacus, generated by a tempered hemithird of [[28/25]]. Two generator steps make [[5/4]] and five make [[7/4]].
* ''[[Hexe]]'', {50/49, 128/125} → [[Augmented family #Hexe|Augmented family]]
 
* ''[[Passion]]'', {64/63, 3125/3087} → [[Passion family #Septimal passion|Passion family]]
The second comma of the comma list determines which 7-limit family member we are looking at. These extensions, in general, split the [[syntonic comma]] into two, each for [[126/125]]~[[225/224]], as 3136/3125 = (126/125)/(225/224). Hemiwürschmidt adds [[2401/2400]]; hemithirds adds [[1029/1024]]; spell adds [[49/48]]. These all use the same nominal generator as didacus.
* [[Meantone]], {81/80, 126/125} → [[Meantone family #Septimal meantone|Meantone family]]
 
* ''[[Mohavila]]'', {135/128, 1323/1250} → [[Pelogic family #Mohavila|Pelogic family]]
Septimal passion adds [[64/63]], splitting the hemithird into a further two. Septimal meantone adds [[81/80]] as well as [[126/125]] and [[225/224]], splitting an octave plus the hemithird into two perfect fifths. Sycamore adds [[686/675]], splitting the hemithird into three. Semisept adds [[1728/1715]], splitting an octave plus the hemithird into three. Mohavila adds [[135/128]], whereas cohemimabila adds [[65536/64827]], both splitting two octaves plus the hemithird into three. Emka adds [[84035/82944]], splitting two octaves plus the hemithird into four. Bidia adds [[2048/2025]] with a 1/4-octave period. Misty adds [[5120/5103]] with a 1/3-octave period. Bischismic adds [[32805/32768]] with a semioctave period. Hexe adds [[50/49]] with a 1/6-octave period. Clyde adds [[245/243]] with a generator of ~9/7, five of which make the original. Parakleismic adds [[4375/4374]] with a generator of ~6/5. Arch adds [[5250987/5242880]] with a generator of ~64/63. For these seven generators make the original. Sengagen adds [[420175/419904]] with a generator of ~686/675, splitting the hemithird into eight. Subpental adds [[19683/19600]] with a generator of ~56/45, nine of which make the original.
* ''[[Clyde]]'', {245/243, 3136/3125} → [[Kleismic family #Clyde|Kleismic family]]
 
* ''[[Sycamore]]'', {686/675, 875/864} → [[Sycamore family #Septimal sycamore|Sycamore family]]
Discussed elsewhere are
* ''[[Bidia]]'', {2048/2025, 3136/3125} → [[Diaschismic family #Bidia|Diaschismic family]]
* ''[[Passion]]'' → [[Passion family #Septimal passion|Passion family]] (+64/63 or 3125/3087)
* [[Parakleismic]], {3136/3125, 4375/4374} → [[Ragismic microtemperaments #Parakleismic|Ragismic microtemperaments]]
* [[Meantone]] → [[Meantone family #Septimal meantone|Meantone family]] (+81/80, 126/125, 225/224)
* [[Misty]], {3136/3125, 5120/5103} → [[Misty family #Septimal misty|Misty family]]
* ''[[Mohavila]]'' → [[Pelogic family #Mohavila|Pelogic family]] (+135/128 or 1323/1250)
* ''[[Bischismic]]'', {3136/3125, 32805/32768} → [[Schismatic family #Bischismic|Schismatic family]]
* ''[[Cohemimabila]]'' → [[Mabila family #Cohemimabila|Mabila family]] (+65536/64827)
* ''[[Cohemimabila]]'', {3136/3125, 65536/64827} → [[Mabila family #Cohemimabila|Mabila family]]
* ''[[Sycamore]]'' → [[Sycamore family #Septimal sycamore|Sycamore family]] (+686/675 or 875/864)
* ''[[Decistearn]]'', {3136/3125, 118098/117649} → [[Stearnsmic clan #Decistearn|Stearnsmic clan]]
* ''[[Bidia]]'' → [[Diaschismic family #Bidia|Diaschismic family]] (+2048/2025)
* ''[[Rubidium]]'', {3136/3125, 4194304/4117715} → [[37th-octave temperaments]]
* ''[[Hexe]]'' → [[Augmented family #Hexe|Augmented family]] (+50/49 or 128/125)
* ''[[Arch]]'', {3136/3125, 5250987/5242880} → [[Escapade family #Arch|Escapade family]]
* [[Misty]] → [[Misty family #Septimal misty|Misty family]] (+5120/5103)
* ''[[Quintagar]]'', {3136/3125, 33554432/33480783} → [[Quindromeda family #Quintagar|Quindromeda family]]
* ''[[Bischismic]]'' → [[Schismatic family #Bischismic|Schismatic family]] (+32805/32768)
* ''[[Clyde]]'' → [[Kleismic family #Clyde|Kleismic family]] (+245/243)
* [[Parakleismic]] → [[Ragismic microtemperaments #Parakleismic|Ragismic microtemperaments]] (+4375/4374)
* ''[[Arch]]'' → [[Escapade family #Arch|Escapade family]] (+5250987/5242880)
* ''[[Decistearn]]'' → [[Stearnsmic clan #Decistearn|Stearnsmic clan]] (+118098/117649)
* ''[[Quintagar]]'' → [[Quindromeda family #Quintagar|Quindromeda family]] (+33554432/33480783)
* ''[[Rubidium]]'' → [[37th-octave temperaments]] (+4194304/4117715)
 
Considered below are hemiwürschmidt, hemithirds, spell, semisept, emka, decipentic, sengagen, subpental, mowglic, and undetrita.


A notable subgroup extension of didacus is [[Chromatic pairs #Roulette|roulette]].
A notable subgroup extension of didacus is [[Chromatic pairs #Roulette|roulette]].
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