Name:	gyro_AdditionalBonusPoolFundingPercentageOfGrossSalesPriceOnFirstTenPercentOfPropertyAppreciation
Namespace Prefix:	gyro_
Data Type:	num:percentItemType
Balance Type:	na
Period Type:	instant

Represents gross sales price of a property in excess of its appraised value expressed as a percentage and used for additional bonus pool funding.

No definition available.

Name:	gyro_AdditionalBonusPoolFundingPercentageOfGrossSalesPriceOnPropertyAppreciationGreaterThanTwentyPercent
Namespace Prefix:	gyro_
Data Type:	num:percentItemType
Balance Type:	na
Period Type:	instant

Represents gross sales price of a property in excess of its appraised value expressed as a percentage and used for additional bonus pool funding.

No definition available.

Name:	gyro_AdditionalBonusPoolFundingPercentageOfGrossSalesPriceOnSecondTenPercentOfPropertyAppreciation
Namespace Prefix:	gyro_
Data Type:	num:percentItemType
Balance Type:	na
Period Type:	instant

Percentage of bonus distributable to certain individuals.

No definition available.

Name:	gyro_BonusPoolDistributionProportions
Namespace Prefix:	gyro_
Data Type:	num:percentItemType
Balance Type:	na
Period Type:	instant

Represents the amount of bonus pool funding expressed as a percentage of the specified appraised value of each of the Contributed Properties.

No definition available.

Name:	gyro_BonusPoolFundingAsPercentageOfAppraisedValueOfContributedProperties
Namespace Prefix:	gyro_
Data Type:	num:percentItemType
Balance Type:	na
Period Type:	instant

Represents the deferred compensation arrangement, fixed interest rate.

No definition available.

Name:	gyro_DeferredCompensationArrangementFixedInterestRate
Namespace Prefix:	gyro_
Data Type:	num:percentItemType
Balance Type:	na
Period Type:	instant

The percentage of director fees that deferred.

No definition available.

Name:	gyro_DirectorFeesDeferredPercentage
Namespace Prefix:	gyro_
Data Type:	num:percentItemType
Balance Type:	na
Period Type:	duration

The cash outflow during the period from the payment for the Retention Bonus Plan.

No definition available.

Name:	gyro_PaymentForRetentionBonusPlan
Namespace Prefix:	gyro_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

Minimum amount of other commitment not otherwise specified in the taxonomy. Excludes commitments explicitly modeled in the taxonomy, including but not limited to, long-term and short-term purchase commitments, recorded and unrecorded purchase obligations, supply commitments, registration payment arrangements, leases, debt, product warranties, guarantees, environmental remediation obligations, and pensions.

No definition available.

Name:	us-gaap_OtherCommitment
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

Liability for amount due employees, in addition to wages and any other money that employers owe employees, when their employment ends through a layoff or other termination. For example, a company may provide involuntarily terminated employees with a lump sum payment equal to one week's salary for every year of employment.

No definition available.

Name:	us-gaap_SupplementalUnemploymentBenefitsSeveranceBenefits
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

Name:	srt_StatementScenarioAxis=srt_ScenarioForecastMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

Name:	srt_TitleOfIndividualAxis=srt_ChiefExecutiveOfficerMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

Name:	us-gaap_OtherCommitmentsAxis=gyro_BonusPayableMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

Name:	srt_TitleOfIndividualAxis=gyro_OtherEmployeesMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

Name:	srt_TitleOfIndividualAxis=srt_BoardOfDirectorsChairmanMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

Name:	srt_TitleOfIndividualAxis=gyro_Other5DirectorsMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: