Loans Payable - Schedule of Loans Payable (Detail) - USD ($)	Sep. 30, 2021	Dec. 31, 2020
Debt Instrument [Line Items]
Less: Deferred financing costs, net of accumulated amortization	$ (3,118,277)	$ (764,753)
Loans payable, net of deferred financing costs and amortization	307,249,080	83,380,431
Valencia Property [Member]
Debt Instrument [Line Items]
Principal amount of loans	55,200,000
Less: Deferred financing costs, net of accumulated amortization	(872,246)
Loans payable, net of deferred financing costs and amortization	54,327,754
Revolving Credit Facility [Member]
Debt Instrument [Line Items]
Principal amount of loans	63,170,173
Less: Deferred financing costs, net of accumulated amortization	(1,015,968)
Loans payable, net of deferred financing costs and amortization	62,154,205
UBS AG, CCRE, Citigroup Global Markets Realty Corp, Goldman Sachs Bank USA, CBRE Multifamily Capital Inc and Arbor Private Label LLC [Member]
Debt Instrument [Line Items]
Principal amount of loans	310,367,357	84,145,184
Less: Deferred financing costs, net of accumulated amortization	(3,118,277)	(764,753)
Loans payable, net of deferred financing costs and amortization	307,249,080	83,380,431
UBS AG [Member] | GR Property [Member]
Debt Instrument [Line Items]
Principal amount of loans	4,500,000	4,500,000
Less: Deferred financing costs, net of accumulated amortization	(47,339)	(53,485)
Loans payable, net of deferred financing costs and amortization	4,452,661	4,446,515
UBS AG [Member] | FM Property [Member]
Debt Instrument [Line Items]
Principal amount of loans	21,000,000	21,000,000
Less: Deferred financing costs, net of accumulated amortization	(134,442)	(148,297)
Loans payable, net of deferred financing costs and amortization	20,865,558	20,851,703
CCRE [Member] | CO Property [Member]
Debt Instrument [Line Items]
Principal amount of loans	26,550,000	26,550,000
Less: Deferred financing costs, net of accumulated amortization	(190,725)	(203,743)
Loans payable, net of deferred financing costs and amortization	26,359,275	26,346,257
Goldman Sachs Bank USA [Member] | Buchanan Property [Member]
Debt Instrument [Line Items]
Principal amount of loans	9,600,000	9,600,000
Less: Deferred financing costs, net of accumulated amortization	(76,307)	(81,610)
Loans payable, net of deferred financing costs and amortization	9,523,693	9,518,390
Citigroup Global Markets Realty Corp [Member] | DST Properties [Member]
Debt Instrument [Line Items]
Principal amount of loans	22,495,184	22,495,184
Less: Deferred financing costs, net of accumulated amortization	(258,472)	(277,618)
Loans payable, net of deferred financing costs and amortization	22,236,712	$ 22,217,566
CBRE Multifamily Capital, Inc. [Member] | Keller Springs Property [Member]
Debt Instrument [Line Items]
Principal amount of loans	31,277,000
Less: Deferred financing costs, net of accumulated amortization	(314,158)
Loans payable, net of deferred financing costs and amortization	30,962,842
Arbor Private Label, LLC [Member] | Summerfield Property [Member]
Debt Instrument [Line Items]
Principal amount of loans	76,575,000
Less: Deferred financing costs, net of accumulated amortization	(208,620)
Loans payable, net of deferred financing costs and amortization	$ 76,366,380