Open is another option which avoids the leftist connotations if they are not appropriate. Open suggests that the selection process either doesn't exist or is fair and requires no previous accredidations.

That is what a conservatorio musical is, a music academy, where people go to study, in this case, no matter what 'class' they are or how much money they have.

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Note added at 4 mins (2009-04-21 12:32:19 GMT)
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In other words, people won't be turned away, once it's opened, because they are poor or not well-educated, or of a wrong social class or race.

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Note added at 1 hr (2009-04-21 13:48:52 GMT)
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I am including some links about open enrollment policies in universities for music learning; this is from a Canadian program, and it has a bearing upon my response. Had the writer wanted to use the idea of 'open' as opposed to popular or people's, he/she wold have used that term in Spanish. The fact that the writer says the dream is to admit anyone to the study of music despite their background or economic capacity, is in fact very much a 'socialized' type of dream. In the post-Pinochet era, that does not surprise me.

The filter model applies to university programs that have selective intake. The funnel model applies to all university programs, whether an initial filter is in place or not. In the first instance not everyone is admitted and in the second, everyone who has the ability to pay is accepted, but not all students are allowed to continue.

Funnels and filters beget priority and privilege. If universities become inclusive learning environments, not based on priority and privilege, current funnels and filters have no place. Institutional modus operandi would need retooling. The university’s research function would remain unchanged, but its teaching and service functions would be transformed radically. Revisions to evaluation and assessment procedures, curricula, and just about everything
else would follow.

We must not think this means lowering the bar. The integration of diverse learner populations depends, not on relaxed standards, but on realistic priorities that account for divergent aims, abilities and means evident in all democratic populations. Until such changes occur, universities remain perched on the periphery of the new learning continuum, on the outside looking in.
http://www.intljcm.com/articles/Volume 4/Carruthers4/Carruth...

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Note added at 1 hr (2009-04-21 13:53:57 GMT)
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The next link is for a music academy with 'open' admissions, but open does not mean in this case, open to anyone who cannot pay; in fact, the text admits that only 5% of the applicants come from socio-economically deprived areas, even it bemoans that fact.

1. Introduction
A fundamental objective of the Royal Academy of Music, as outlined in its Mission Statement, is to ‘preserve and enrich national and international music culture’. This encourages the Academy to maintain the highest possible standards through the recruitment
of the finest musicians for training, and also to meet the ‘access’ challenge in a positive and wholehearted way. Despite significant reductions in music provision at primary and secondary levels for the best part of a generation, the Academy believes it has a major role to play in fostering musical awareness at all levels. This is particularly important in the case of children who, more than ever, need to experience music-making from an early age and reap
its many benefits.

The Academy’s open admissions policy means that 1400+ applicants are invited to audition in person every year for 150 places. All are judged according to the same criteria and must
demonstrate the potential to succeed as professional musicians.
The Academy currently accommodates only a 5% student intake from socio-economically-deprived areas. This is evidence that music teaching today does not provide adequate opportunity for children to learn instruments or have access to formalised music-making at
all. We believe that the Academy can play a significant role in embracing under-privileged sections of society (important as they are) as well as to reaching out to all sections of the population who are not exposed to music of any kind. The Academy’s outreach agenda, driven through Open Academy, provides the main focus for directing physical, educational and financial resources.
http://www.offa.org.uk/agreements/H-0033 Royal Academy of Mu...

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Note added at 1 hr (2009-04-21 14:02:35 GMT)
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The second such school was the Belvedere Academy, a girls only 11 to 18 school in Toxteth, Liverpool. The sponsors are the GDST and HSBC Global Education Trust. Prior to becoming an Academy, Belvedere had already adopted an open-access scheme where all pupils were admitted on merit regardless of their parents' ability to pay, funded by Sir Peter Lampl’s Sutton Trust charity. While the secondary element of the predecessor school became an
Academy in 2007, the 3 to 11 element was established separately by the GDST as a stand-alone fee-paying preparatory school called The Hamlets.
http://www.wirral.gov.uk/Minute/public/cabcsll080626rep3_274...

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Note added at 4 hrs (2009-04-21 16:43:29 GMT)
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Nowadays there is no difference between a music academy and a conservatory.

conservatorio
1. m. Establecimiento en el que se enseña música y otras artes relacionadas con ella:
el año que viene empieza solfeo en el conservatorio.
http://www.wordreference.com/definicion/conservatorio

What is a music conservatory?
I suppose at some time in history, the name "conservatory" implied something about the focus of a music school, but currently I am aware of no international convention which qualifies an institute of higher learning to be a "conservatory," as opposed to a "school," or an "academy." This is not to say that all places of college music study are the same. Far from it. It simply means that one has to look beyond the name before making assumptions about the value of the program.
http://www.tehranconservatory.ir/English/MenuR3.Asp

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Note added at 4 hrs (2009-04-21 16:47:02 GMT)
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THe above, by the way, is copied verbatim here:
http://www.peabody.jhu.edu/788

I have found more uses nowadays of the term academy for musical schools such as is proposed here, but of course, conservatory would be perfectly proper. The point is that it is up to the translator to choose; there is no difference between both terms today.