You could write a custom validation attribute for this purpose:
public class DynamicRangeValidator : ValidationAttribute, IClientValidatable
{
    private readonly string _minPropertyName;
    private readonly string _maxPropertyName;
    public DynamicRangeValidator(string minPropertyName, string maxPropertyName)
    {
        _minPropertyName = minPropertyName;
        _maxPropertyName = maxPropertyName;
    }
    protected override ValidationResult IsValid(object value, ValidationContext validationContext)
    {
        var minProperty = validationContext.ObjectType.GetProperty(_minPropertyName);
        var maxProperty = validationContext.ObjectType.GetProperty(_maxPropertyName);
        if (minProperty == null)
        {
            return new ValidationResult(string.Format("Unknown property {0}", _minPropertyName));
        }
        if (maxProperty == null)
        {
            return new ValidationResult(string.Format("Unknown property {0}", _maxPropertyName));
        }
        int minValue = (int)minProperty.GetValue(validationContext.ObjectInstance, null);
        int maxValue = (int)maxProperty.GetValue(validationContext.ObjectInstance, null);
        int currentValue = (int)value;
        if (currentValue <= minValue || currentValue >= maxValue)
        {
            return new ValidationResult(
                string.Format(
                    ErrorMessage, 
                    minValue,
                    maxValue
                )
            );
        }
        return null;
    }
    public IEnumerable<ModelClientValidationRule> GetClientValidationRules(ModelMetadata metadata, ControllerContext context)
    {
        var rule = new ModelClientValidationRule
        {
            ValidationType = "dynamicrange",
            ErrorMessage = this.ErrorMessage,
        };
        rule.ValidationParameters["minvalueproperty"] = _minPropertyName;
        rule.ValidationParameters["maxvalueproperty"] = _maxPropertyName;
        yield return rule;
    }
}
and then decorate your view model with it:
public class RangeValidationSampleModel
{
    [DynamicRangeValidator("MinValue", "MaxValue", ErrorMessage = "Value must be between {0} and {1}")]
    public int Value { get; set; }
    public int MinValue { get; set; }
    public int MaxValue { get; set; }
}
then you could have a controller serving a view:
public class HomeController : Controller
{
    public ActionResult Index()
    {
        return View(new RangeValidationSampleModel
        {
            Value = 5,
            MinValue = 6,
            MaxValue = 8
        });
    }
    [HttpPost]
    public ActionResult Index(RangeValidationSampleModel model)
    {
        return View(model);
    }
}
and a view of course:
@model RangeValidationSampleModel
<script src="@Url.Content("~/Scripts/jquery.validate.js")" type="text/javascript"></script>
<script src="@Url.Content("~/Scripts/jquery.validate.unobtrusive.js")" type="text/javascript"></script>
<script type="text/javascript">
    $.validator.unobtrusive.adapters.add('dynamicrange', ['minvalueproperty', 'maxvalueproperty'],
        function (options) {
            options.rules['dynamicrange'] = options.params;
            if (options.message != null) {
                $.validator.messages.dynamicrange = options.message;
            }
        }
    );
    $.validator.addMethod('dynamicrange', function (value, element, params) {
        var minValue = parseInt($('input[name="' + params.minvalueproperty + '"]').val(), 10);
        var maxValue = parseInt($('input[name="' + params.maxvalueproperty + '"]').val(), 10);
        var currentValue = parseInt(value, 10);
        if (isNaN(minValue) || isNaN(maxValue) || isNaN(currentValue) || minValue >= currentValue || currentValue >= maxValue) {
            var message = $(element).attr('data-val-dynamicrange');
            $.validator.messages.dynamicrange = $.validator.format(message, minValue, maxValue);
            return false;
        }
        return true;
    }, '');
</script>
@using (Html.BeginForm())
{
    <div>
        @Html.LabelFor(x => x.Value)
        @Html.EditorFor(x => x.Value)
        @Html.ValidationMessageFor(x => x.Value)
    </div>
    <div>
        @Html.LabelFor(x => x.MinValue)
        @Html.EditorFor(x => x.MinValue)
    </div>
    <div>
        @Html.LabelFor(x => x.MaxValue)
        @Html.EditorFor(x => x.MaxValue)
    </div>
    <button type="submit">OK</button>
}
Obviously the custom adapter registration should be performed in an external javascript file to avoid polluting the view but for the purpose and conciseness of this post I have put it inside the view.